DSP FIRST 2e – Resources

DSP FIRST 2e Problems with selected Solutions ¹⁰⁹³

A–1 Convert complex rectangular to polar form Solution

real imaginary polar rectangular

A–2 Convert complex polar to rectangular form Solution

real imaginary polar rectangular

A–3 Operations on complex numbers Solution

magnitude real part complex exponential angle

A–4 Operations on complex numbers

magnitude real part complex exponential angle

A–5 Operations on complex numbers

magnitude real part complex exponential angle

A–6 Operations on complex numbers

magnitude real part complex exponential angle

A–7 Operations on complex numbers

magnitude real part complex exponential angle

A–8 Cartesian Polar Conversion Solution

complex real imaginary angle length

A–9 Powers & Roots of Complex Numbers Solution

A–10 Complex Roots of Complex Numbers Solution

A–11 Solve Complex Exponential Equation Solution

angle complex exponential

A–12 Complex Arithmetic Expressions: Simplify Solution

A–13 Complex Arithmetic Expressions: Simplify Solution

A–14 Cartesian Polar Conversion

magnitude angle phase

A–15 Cartesian Polar Conversion

real imaginary

A–16 Complex Arithmetic Expressions: Compute

rectangular cartesian polar conjugate

A–17 Complex Arithmetic Expressions: Simplify

rectangular cartesian polar

A–18 Use Euler’s Formula

A–19 Operations on Complex Numbers

conjugate rectangular polar

A–20 Complex Arithmetic Expressions: Simplify

cartesian polar

A–21 Convert Complex Numbers to Rectangular Form

complex rectangular

A–22 Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane

complex plot polynomial roots

A–23 Complex Arithmetic Expressions: Simplify and Plot Solution

polar rectangular

A–24 Complex Arithmetic Expressions: Simplify and Plot Solution

polar rectangular

A–25 Convert complex rectangular to polar form Solution

real imaginary polar rectangular

A–26 Convert complex polar to rectangular form

real imaginary polar rectangular

A–27 Convert Complex Numbers to Polar Form Solution

Complex Polar

A–28 Convert Complex Numbers to Rectangular Form Solution

Complex Rectangular

A–29 Operations on Complex Numbers Solution

Conjugate Magnitude Real Part

A–30 Simplify Complex Number Expressions Solution

A–31 Add Complex Numbers in Polar Form Solution

Complex Addition

A–32 Convert complex rectangular to polar form Solution

real imaginary polar rectangular

A–33 Convert complex polar to rectangular form Solution

real imaginary polar rectangular

A–34 Simplify complex expressions Solution

complex exponential vector conjugate

A–35 Simplify complex expressions Solution

complex exponential vector conjugate

A–36 Simplify complex expressions Solution

complex exponential vector conjugate

A–37 Cartesian Polar Conversion Solution

complex real imaginary angle length

A–38 Cartesian Polar Conversion Solution

complex real imaginary angle length

A–39 Complex Arithmetic Expressions: Simplify Solution

A–40 Powers & Roots of Complex Numbers Solution

A–41 Euler’s Formulas: Simplify Complex Exponential Expressions Solution

A–42 Euler’s Formulas: Simplify Complex Exponential Expressions

A–43 Cartesian Polar Conversion Solution

magnitude angle phase

A–44 Cartesian Polar Conversion Solution

real imaginary

A–45 Complex Arithmetic Expressions: Compute Solution

rectangular cartesian polar conjugate

A–46 Add Complex Numbers in Polar Form Solution

polar MATLAB magnitude phase zprint zvect

A–47 Sketch Curves on Complex Plane Solution

magnitude imaginary part

A–48 Cartesian Polar Conversion Solution

complex real imaginary angle length

A–49 Cartesian Polar Conversion Solution

complex real imaginary angle length

A–50 Powers & Roots of Complex Numbers Solution

A–51 Complex Arithmetic Expressions: Simplify Solution

A–52 Powers of Complex Numbers Solution

A–53 Powers & Roots of Complex Numbers Solution

A–54 Complex Exponential Expressions: Simplify Solution

A–55 Complex Addition from Polar Form Solution

A–56 Complex Arithmetic Expressions: Simplify Solution

A–57 Cartesian Polar Conversion Solution

complex real imaginary angle length

A–58 Cartesian Polar Conversion Solution

complex real imaginary angle length

A–59 Complex Arithmetic Expressions: Simplify Solution

A–60 Complex Addition from Polar Form Solution

A–61 Solve Complex Exponential Equation Solution

angle magnitude

A–62 Convert Complex Numbers between Polar and Rectangular Forms

complex exponential

A–63 Simplify complex expressions

A–64 Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane Solution

complex polynomial roots

A–65 Simplify Complex Expressions

complex exponential

A–66 Simplify Complex Expressions

complex exponential real part Cartesian polar

A–67 Solve Complex Number Equation

imaginary part complex exponential

A–68 Complex Roots of Polynomial

A–69 Complex Arithmetic Expressions: Simplify Solution

real part complex exponential

A–70 Euler’s Formulas: Simplify Complex Exponential Expressions Solution

A–71 Cartesian Polar Conversion Solution

magnitude angle phase

A–72 Cartesian Polar Conversion Solution

real imaginary

A–73 Complex Arithmetic Expressions: Compute Solution

rectangular cartesian polar conjugate

A–74 Adding Complex Numbers in Polar Form Solution

polar MATLAB magnitude phase

A–75 Complex Arithmetic Expressions: Simplify and Plot Solution

polar rectangular

A–76 Complex Arithmetic Expressions: Simplify and Plot Solution

polar rectangular

A.6–77 Complex Arithmetic Expressions: Simplify Solution

A.7–78 Complex Arithmetic Expressions: Simplify Solution

A.8–79 Solve Complex Exponential Equation Solution

angle magnitude

8–80 DFT-3 Solution Solution Solution Solution

DFT

8–81 DFT-4 Solution

DFT

8–82 DFT-2 Solution Solution Solution Solution

DFT

8–83 DFT-1 Solution Solution Solution

DFT

8–84 DFT-5 Solution

DFT

8–85 DFT-6 Solution Solution Solution

DFT

8–86 Solution Solution Solution Solution Solution Solution

DFT

8–87 Solution Solution Solution Solution

DFT

8–88 Solution

DFT

8–89 Solution Solution

DFT

8–90 Solution Solution

DFT

8–91 DFT-5 Solution Solution

DFT

8–92 DFT-6 Solution Solution

DFT

8–93 DFT-4 Solution Solution Solution

DFT

8–94 DFT-3 Solution Solution Solution

DFT

8–95 DFT-2 Solution Solution Solution Solution

DFT

8–96 DFT-1 Solution Solution Solution Solution

DFT

8–97 DFT-7 Solution Solution

DFT

7–98 DTFT-4 Solution Solution Solution Solution

DTFT

7–99 DTFT-3 Solution Solution Solution Solution Solution Solution

DTFT

7–100 DTFT-2 Solution Solution Solution

DTFT

7–101 DTFT-1 Solution Solution Solution

DTFT

7–102 Solution Solution Solution Solution

DTFT

7–103 Solution Solution Solution Solution

DTFT

7–104 Solution Solution Solution Solution Solution Solution

DTFT

7–105 Solution

DTFT

7–106 Solution

DTFT

2–107 Determine sinusoid parameters from a plot Solution

amplitude phase frequency time-shift

2–108 Plot sinusoid with MATLAB Solution

period sinusoidal signal

2–109 Determine sinusoid parameters from a plot Solution

complex amplitude amplitude phase frequency time-shift

2–110 Add sinusoids via complex amplitude

phasor addition vector diagram

2–111 Solve phasor equation to add sinusoids Solution

complex amplitude vector diagram geometrical view

2–112 Complex amplitude of derivative and integral Solution

complex exponential magnitude squared

2–113 Phasor addition of sinusoids Solution

complex amplitude vector diagram geometrical view

2–114 Phasor addition of sinusoids

complex amplitude vector diagram geometrical view

2–115 Phasor addition of sinusoids

complex amplitude vector diagram geometrical view

2–116 Phasor addition of sinusoids

complex amplitude vector diagram geometrical view

2–117 Phasor addition of sinusoids

complex amplitude vector diagram geometrical view

2–118 Simplify Complex Number Expressions Solution

simplify complex arithmetic

2–119 Determine Cosine Signal Parameters from Waveform Solution

cosine signal waveform parameters

2–120 Combine Cosines by Phasor Addition Solution

cosine signals phasor addition

2–121 Simplify Complex Number Expressions Solution

simplify complex arithmetic

2–122 Determine Cosine Signal Parameters from Waveform Solution

cosine signal waveform parameters

2–123 Combine Cosines by Phasor Addition Solution

cosine signals phasor addition

2–124 Simplify Complex Number Expressions Solution

simplify complex arithmetic

2–125 Determine Cosine Signal Parameters from Waveform Solution

cosine signal waveform parameters

2–126 Combine Cosines by Phasor Addition Solution

cosine signals phasor addition

2–127 Simplify Complex Number Expressions Solution

simplify complex arithmetic

2–128 Determine Cosine Signal Parameters from Waveform Solution

cosine signal waveform parameters

2–129 Combine Cosines by Phasor Addition Solution

cosine signals phasor addition

2–130 Simplify Complex Number Expressions Solution

simplify complex arithmetic

2–131 Determine Cosine Signal Parameters from Waveform Solution

cosine signal waveform parameters

2–132 Combine Cosines by Phasor Addition Solution

cosine signals phasor addition

2–133 Simplify Complex Number Expressions Solution

simplify complex arithmetic

2–134 Determine Cosine Signal Parameters from Waveform Solution

cosine signal waveform parameters

2–135 Combine Cosines by Phasor Addition Solution

cosine signals phasor addition

2–136 Plot a Sinusoidal Signal versus t Solution

output plot sinusoid

2–137 Time Delay is Equivalent to Phase Shift (for Sinusoid) Solution

delay phase shift

2–138 Simultaneous Sinusoidal Equations Solved via Phasors Solution

amplitude phase phasor

2–139 Addition of 3 Sinusoids via Phasors Solution

addition complex phasor sinusoid

2–140 Addition of 3 Sinusoids via Phasor Equations Solution

addition complex phasor sinusoid

2–141 MATLAB Code for a Sinusoid: Sketch the Plot Solution

MATLAB plot sinusoid

2–142 Time Delay is Equivalent to Phase Shift (for Sinusoid) Solution

delay phase shift

2–143 Addition of Phasors for Discrete-Time Sinusoidal Signals Solution

delay discrete phasor sinusoid vector

2–144 Addition of 2 Sinusoids via Phasors Solution

phasor sinusoid sum

2–145 Time-Derivative Operation Represented as Phasor Multiplication Solution

derivative exponential phasor

2–146 Determine Cosine Signal Parameters from Waveform

waveform amplitude phase frequency

2–147 Phase of a Sinusoid

2–148 Add Sinusoids and Complex Signals

plot period complex amplitude

2–149 Complex Signals and Phasors

derivative angle plot

2–150 Simultaneous Sinusoidal Equations Solved via Phasors

amplitude phase phasor sinusoid complex amplitude

2–151 Simultaneous Sinusoidal Equations Solved via Phasors

amplitude phase phasor sinusoid complex amplitude

2–152 Plot a Sinusoidal Signal Using MATLAB

amplitude phase period complex amplitude real part complex exponential

2–153 Addition of 2 Sinusoids via Phasors Solution

amplitude phase phasor sum complex amplitude

2–154 Addition of 2 Sinusoids via Phasors Solution

amplitude phase phasor sum complex amplitude

2–155 Plot sinusoid with MATLAB Solution

period sinusoidal signal

2–156 Determine sinusoid parameters from a plot Solution

amplitude phase frequency time-shift

2–157 Determine sinusoid parameters from a plot Solution

complex amplitude amplitude phase frequency time-shift

2–158 Sum of sinusoids via complex amplitude Solution

phasor addition vector diagram

2–159 Phasor addition of sinusoids Solution

complex amplitude amplitude phase vector diagram

2–160 Matching complex amplitude representations of sinusoids Solution

phasor addition complex exponential real part

2–161 Phasor addition of sinusoids Solution

complex amplitude amplitude phase vector diagram

2–162 Matching complex amplitude representations of sinusoids Solution

phasor addition complex exponential real part

2–163 Determine sinusoid parameters from a plot Solution

amplitude phase frequency time-shift

2–164 Matching complex amplitude representations of sinusoids Solution

phasor addition complex exponential real part

2–165 Determine sinusoid parameters from a plot Solution

amplitude phase frequency time-shift

2–166 Determine Cosine Signal Parameters from Waveform Solution

Waveform Amplitude Phase

2–167 Plot a Sinusoidal Signal versus t Using MATLAB Solution

MATLAB Plot

2–168 Determine Cosine Signal Parameters from Waveform Solution

Waveform Amplitude Phase

2–169 Add Cosines using Phasor Addition Solution

Phasors Addition Cosine

2–170 Add Cosines using Phasor Addition Solution

Phasors Addition Cosine

2–171 Add Cosines using Phasor Addition Solution

Phasors Addition Cosine

2–172 Operations on Complex Exponential Signals Solution

Differentiation Complex Exponential

2–173 Solve Simultaneous Equations Using Phasor Addition Solution

Phasors Addition Cosine

2–174 Solve Simultaneous Equations Using Phasor Addition Solution

Phasors Addition Cosine

2–175 Use Phasors to Match Cosine Signal Representations Solution

Phasors Addition Cosine

2–176 Determine Cosine Signal Parameters from Waveform Solution

Cosine Signal Amplitude Phase Frequency

2–177 Add Three Cosines using Phasors Solution

Phasors Addition Cosine

2–178 Use Phasors to Match Cosine Signal Representations Solution

Phasors Addition Cosine

2–179 Determine Cosine Signal Parameters from Waveform Solution

Cosine Signal Amplitude Phase Frequency

2–180 Add Three Cosines using Phasors Solution

Phasors Addition Cosine

2–181 Use Phasors to Match Cosine Signal Representations Solution

Phasors Addition Cosine

2–182 Determine Cosine Signal Parameters from Waveform Solution

Cosine Signal Amplitude Phase Frequency

2–183 Add Three Cosines using Phasors Solution

Phasors Addition Cosine

2–184 Convert Complex Numbers to Polar Form

complex numbers polar form

2–185 Convert Complex Numbers to Rectangular Form

rectagular form complex numbers Cartesian form

2–186 Complex Arithmetic Expressions: Simplify

simplify complex arithmetic

2–187 Complex Arithmetic Expressions: Simplify

simplify complex arithmetic

2–188 Addition of Complex Numbers

complex numbers addition

2–189 Determine Cosine Signal Parameters from Waveform

Cosine Signal Amplitude Phase Frequency

2–190 Determine Cosine Signal Parameters from MATLAB Program

MATLAB Cosine Signal Amplitude Phase Frequency

2–191 Determine Cosine Signal Parameters from Waveform

Cosine Signal Amplitude Phase Frequency

2–192 Add Cosines using Phasor Addition

phasor addition cosines

2–193 Add Cosines using Phasor Addition

phasor addition cosines

2–194 Add Cosines using Phasor Addition ♦ Plot Real Part of Complex Exponential

phasor addition cosines complex exponential

2–195 Solve Simultaneous Equations Using Phasor Addition

Phasors Addition Cosine

2–196 Operations on Complex Exponential Signals

complex exponential integration differentiation delay

2–197 Solve Simultaneous Equations Using Phasor Addition

phasor addition simultaneous

2–198 Determine Different Forms of a Cosine Signal Using Phasors Solution

cosine signal phasors

2–199 Combine Cosines by Phasor Addition Solution

cosine signal phasors addition

2–200 Determine Cosine Signal Parameters from Waveform Solution

cosine signal parameters waveform

2–201 Determine Different Forms of a Cosine Signal Using Phasors Solution

cosine signal phasors

2–202 Combine Cosines by Phasor Addition Solution

cosine signal phasors addition

2–203 Determine Cosine Signal Parameters from Waveform Solution

cosine signal parameters waveform

2–204 Determine Different Forms of a Cosine Signal Using Phasors Solution

cosine signal phasors

2–205 Combine Cosines by Phasor Addition Solution

cosine signal phasors addition

2–206 Determine Cosine Signal Parameters from Waveform Solution

cosine signal parameters waveform

2–207 Determine sinusoid parameters from a plot Solution

amplitude phase frequency time-shift

2–208 Plot sinusoid with MATLAB Solution

period sinusoidal signal

2–209 Add sinusoids via complex amplitude Solution

phasor addition vector diagram

2–210 Add sinusoids via complex amplitude Solution

phasor addition amplitude phase vector diagram

2–211 Add 2 sinusoids via complex amplitude Solution

phasor addition amplitude phase period

2–212 Find amplitude & phase in sum of sinusoids Solution

complex amplitude phasor addition

2–213 Represent sum of sinusoids as complex amplitude Solution

phasor addition amplitude phase time shift

2–214 Derivative and integral of complex exponentials Solution

complex amplitude time shift

2–215 Determine parameters of sinusoids Solution

time shift complex amplitude amplitude phase

2–216 Determine parameters of sinusoids Solution

time shift complex amplitude amplitude phase

2–217 Determine parameters of sinusoids Solution

time shift complex amplitude amplitude phase

2–218 Addition of 3 Sinusoids via Phasor Equations Solution

phasor sinusoid sum vector

2–219 Plot a Sinusoidal Signal versus t Solution

plot sinusoid time

2–220 Addition of 3 Sinusoids via Phasors Solution

phasor sinusoid sum vector

2–221 Simultaneous Sinusoidal Equations Solved via Phasors Solution

amplitude phase phasor sinusoid

2–222 Complex Exponential Solutions to a Differential Equation Solution

complex differential exponential

2–223 Powers & Roots of a Complex Exponential Solution

exponential power roots

2–224 Addition of 3 Sinusoids via Phasors Solution

amplitude phase phasor sum

2–225 Time Delay is Equivalent to Phase Shift (for Sinusoid) Solution

delay phase shift

2–226 Addition of 2 Sinusoids via Phasors Solution

complex period phasor sum

2–227 Time-Derivative Operation Represented as Phasor Multiplication Solution

derivative exponential multiplication phasor

2–228 MATLAB Code for a Sinusoid: Sketch the Plot Solution

MATLAB plot sinusoid

2–229 Addition of 3 Sinusoids via Phasors Solution

amplitude phase phasor sum

2–230 Time Delay is Equivalent to Phase Shift (for Sinusoid) Solution

delay phase shift

2–231 Addition of 2 Sinusoids via Phasors

amplitude phase phasor sum

2–232 MATLAB Code for a Sinusoid: Sketch the Plot

MATLAB plot sinusoid

2–233 Time Delay is Equivalent to Phase Shift (for Sinusoid)

delay phase shift

2–234 Phase of a Sinusoid Solution

2–235 Determine Cosine Signal Parameters from Waveform Solution

waveform amplitude phase frequency

2–236 Adding and Multiplying Sinusoids Using Phasors Solution

complex amplitude

2–237 Plot a Sinusoidal Signal Using MATLAB Solution

plot period complex amplitude real part

2–238 Complex Amplitude Representation of Sinusoids Solution

complex exponentials

2–239 Phase and Time Shift of a Sinusoid Solution

2–240 Addition of 2 Sinusoids via Phasors Solution

amplitude phase phasor sum complex amplitude

2–241 Complex Amplitude Representation of Sinusoids Solution

complex exponentials

2–242 Phase of a Sinusoid Solution

2–243 Addition of 2 Sinusoids via Phasors Solution

amplitude phase phasor sum complex amplitude

2–244 Complex Amplitude Representation of Sinusoids Solution

complex exponential phasor addition real part

2–245 Phasor Addition of Sinusoids Solution

complex amplitudes vectors amplitude phase

2–246 Complex Exponential Solutions to a Differential Equation Solution

complex differential exponential

2–247 Time Delay Converted to Phase Shift (for Sinusoid) Solution

delay phase shift

2–248 MATLAB Code for a Sinusoid: Sketch the Plot Solution

MATLAB plot sinusoid

2–249 Complex Exponential Solutions to a Differential Equation Solution

complex differential exponential

2–250 Complex Exponential Solutions to a Differential Equation Solution

complex differential exponential

2–251 Plot of Rotating Phasor in the Complex Plane Solution

chirp exponential phasor rotating

2–252 Addition of 2 Complex Exponentials Solution

amplitude exponential phase sum

2–253 Addition of 2 Sinusoids via Phasors Solution

phasor sinusoid sum

2–254 Plot a Sinusoidal Signal Defined by a Complex Exponential Solution

exponential plot sinusoid

2–255 Time Delay Converted to Phase Shift (for Sinusoid) Solution

delay phase shift

2–256 Complex Exponential Solutions to a Differential Equation Solution

complex differential exponential

2–257 MATLAB Code for a Complex Exponential: Sketch the Plot Solution

exponential MATLAB plot sinusoid

2–258 Beating Tones Represented as Phasors Solution

exponential phasor rotating

2–259 Complex Exponential Solutions to a Differential Equation Solution

complex differential exponential

2–260 Time-Derivative Operation Represented as Phasor Multiplication Solution

derivative exponential multiplication phasor

2–261 Addition of 3 Sinusoids via Phasors Solution

phasor plot sum

2–262 Sinusoid = Sum of 2 Rotating Phasors (Euler’s Formula) Solution

Euler phasor rotating sum

2–263 Addition of 3 Sinusoids via Phasor Equations Solution

phasor rotating sinusoid sum

2–264 Sinusoidal Equations Solved via Phasors Solution

amplitude phase phasor sinusoid

2–265 Complex Exponential Solutions to a Differential Equation Solution

complex differential exponential

2–266 Addition of 2 Sinusoids via Phasors Solution

phasor plot sinusoid sum

2–267 Time Delay Converted to Phase Shift (for Sinusoid) Solution

delay phase shift

2–268 MATLAB Code for a Sinusoid: Sketch the Plot Solution

exponential MATLAB plot sinusoid

2–269 Solve Complex Number Equations

phasor addition polynomial

2–270 Plot a Sinusoid

2–271 Time Delay is Equivalent to Phase Shift (for Sinusoid) Solution

delay phase shift

2–272 Addition of 3 Sinusoids via Phasors Solution

amplitude phase phasor sum

2–273 Simultaneous Sinusoidal Equations Solved via Phasors Solution

amplitude phase phasor

2–274 Addition of 3 Sinusoids via Phasor Equations Solution

amplitude phase phasor rotating sum

2–275 Solve Sinusoidal Equations

2–276 Discrete-time sinusoid from samples

2–277 MATLAB Code for a Sinusoid: Sketch the Plot Solution

MATLAB plot sinusoid

2–278 Addition of 3 Sinusoids via Phasors Solution

amplitude phase phasor sum

2–279 Time Delay is Equivalent to Phase Shift (for Sinusoid) Solution

delay phase shift

2–280 Sinusoids and Complex Numbers Solution

period amplitude phase

2–281 Sinusoids and Complex Numbers Solution

period amplitude phase

2–282 Phase of a Sinusoid Solution

2–283 Determine Cosine Signal Parameters from Waveform Solution

waveform amplitude phase frequency

2–284 Simplify and Compute Sums of Sinusoids Solution

phasor addition complex amplitude

2–285 Plot a Sinusoidal Signal Using MATLAB Solution

amplitude phase period complex amplitude real part complex exponential

2–286 Simultaneous Complex Number Equations Solution

MATLAB mldivide inv

2–287 Simultaneous Sinusoidal Equations Solved via Phasors Solution

amplitude phase phasor sinusoid complex amplitude

2–288 Addition of 2 Sinusoids via Phasors Solution

amplitude phase phasor sum complex amplitude

2–289 Addition of 2 Sinusoids via Phasors Solution

amplitude phase phasor sum complex amplitude

2.8–290 MATLAB Code for a Sinusoid: Sketch the Plot Solution

MATLAB plot sinusoid

2.11–291 Solve Complex Exponential Equation Solution

angle magnitude

2.15–292 Addition of 2 Sinusoids via Phasors Solution

complex phasor sinusoid sum

2.16–293 Time Delay is Equivalent to Phase Shift (for Sinusoid) Solution

delay phase shift sinusoid

2.17–294 Addition of 3 Sinusoids via Phasors Solution

amplitude phase phasor sum

2.19–295 Simultaneous Sinusoidal Equations Solved via Phasors Solution

amplitude phase phasor sinusoid

3–296 Spectrum representation of sum of cosines Solution

line spectrum complex amplitude negative frequencies

3–297 Spectrum representation of AM radio signal Solution

carrier signal

3–298 Spectrum of sinusoid plus DC Solution

negative frequency two-sided spectrum

3–299 Matching instantaneous frequency to sinusoids Solution

chirp instantaneous frequency linear-FM

3–300 Symmetry in the spectrum Solution

conjugate symmetry complex amplitude time shift frequency

3–301 Spectrum values from time-domain plot Solution

complex amplitude frequency amplitude phase

3–302 Sum of sinusoids from spectrum Solution

complex amplitude periodic fundamental frequency

3–303 Symmetry in the spectrum

conjugate symmetry complex amplitude time shift frequency

3–304 Spectrum values from time-domain plot

complex amplitude frequency amplitude phase

3–305 Sum of sinusoids from spectrum

complex amplitude periodic fundamental frequency

3–306 Symmetry in the spectrum

conjugate symmetry complex amplitude time shift frequency

3–307 Spectrum values from time-domain plot

complex amplitude frequency amplitude phase

3–308 Sum of sinusoids from spectrum

complex amplitude periodic fundamental frequency

3–309 Symmetry in the spectrum

conjugate symmetry complex amplitude time shift frequency

3–310 Spectrum values from time-domain plot

complex amplitude frequency amplitude phase

3–311 Sum of sinusoids from spectrum

complex amplitude periodic fundamental frequency

3–312 Symmetry in the spectrum

conjugate symmetry complex amplitude time shift frequency

3–313 Spectrum values from time-domain plot

complex amplitude frequency amplitude phase

3–314 Sum of sinusoids from spectrum

complex amplitude periodic fundamental frequency

3–315 Fourier series coefficients of sum of sinusoids Solution

3–316 Fourier series coefficients of sum of sinusoids

3–317 Fourier series coefficients of sum of sinusoids

3–318 Determine Signal from Incomplete Spectrum Plot Solution

cosine signal spectrum

3–319 Spectrum of AM Modulated Signal Solution

AM Modulation spectrum

3–320 Determine Signal from Incomplete Spectrum Plot Solution

cosine signal spectrum

3–321 Spectrum of AM Modulated Signal Solution

AM Modulation spectrum

3–322 Determine Signal from Incomplete Spectrum Plot Solution

cosine signal spectrum

3–323 Spectrum of AM Modulated Signal Solution

AM Modulation spectrum

3–324 Determine Signal from Incomplete Spectrum Plot Solution

cosine signal spectrum

3–325 Spectrum of AM Modulated Signal Solution

AM Modulation spectrum

3–326 Determine Signal from Incomplete Spectrum Plot Solution

cosine signal spectrum

3–327 Spectrum of AM Modulated Signal Solution

AM Modulation spectrum

3–328 Determine Signal from Incomplete Spectrum Plot Solution

cosine signal spectrum

3–329 Spectrum of AM Modulated Signal Solution

AM Modulation spectrum

3–330 Determine Fourier Series for a Sum of Cosine Signals Solution

Fourier Series cosine signals

3–331 Determine Fourier Series for a Sum of Cosine Signals Solution

Fourier Series cosine signals

3–332 Determine Fourier Series for a Sum of Cosine Signals Solution

Fourier Series cosine signals

3–333 Spectrum Sinusoids ♦ Period Solution

period sinusoid spectrum

3–334 Spectrum for Sine Cubed ♦ Fundamental Period Solution

fundamental period spectrum sum

3–335 Sinusoids Defined by MATLAB Spectrum Solution

MATLAB multiplication spectrum

3–336 Spectrum Complex Exponentials ♦ Period Solution

complex exponential period phasor spectrum sum

3–337 Spectrum sum of sinusoids

period sinusoid spectrum

3–338 Plot an Amplitude Modulated Signal

AM MATLAB spectrum plot

3–339 Compute Frequencies of Notes in the C-Major Scale

music scale frequency note

3–340 Spectrum of a Sum of Cosine Signals

spectrum cosine periodicity

3–341 Multiplication of Two Sinusoids

sinusoids cosines period

3–342 Fourier Series Analysis of a Periodic Square Wave

DC component Fourier coefficients analysis integral

3–343 Instantaneous Frequency of a Chirp Signal

3–344 Features of Pure Sinusoids Solution

fundamental period frequency amplitude spectrum

3–345 Match Spectrum to Periodic Waveforms Solution

spectrum cosine match period

3–346 Features of Pure Sinusoids Solution

fundamental period frequency amplitude spectrum

3–347 Match Spectrum to Periodic Waveforms Solution

spectrum cosine match period

3–348 Write signal from a spectrum Solution

symmetry sum of cosines complex amplitude frequency

3–349 Spectrum representation of AM radio signal Solution

carrier signal

3–350 Matching spectrum and periodic signals Solution

fundamental frequency period complex amplitude

3–351 Spectrum of sinusoid plus DC Solution

negative frequency two-sided spectrum

3–352 Frequencies of musical notes Solution

chord triad A-440 piano octave middle-C

3–353 Matching instantaneous frequency to sinusoids Solution

chirp instantaneous frequency linear-FM

3–354 Spectrum of sum of sinusoids Solution

complex amplitude fundamental frequency

3–355 Fourier Series Integral for Specific Signal Solution

Fourier Series Periodic Signal

3–356 Fourier Series Integral for Specific Signal Solution

Fourier Series Periodic Signal

3–357 Fourier Series Integral for Specific Signal Solution

Fourier Series Periodic Signal

3–358 DC Component of a Sum of Cosines Solution

3–359 Beat Notes Solution

Beat Spectrum

3–360 Match the Waveform with its Spectrum Solution

Waveform Spectrum

3–361 Compute the Frequencies of the Notes of the C-Major Scale Solution

Music Scale Frequency Note

3–362 Spectrum of a Periodic Signal from the Fourier Series Solution

Spectrum Periodic Signal

3–363 Compute the DC Component of a Periodic Signal Solution

DC Periodic Fourier Series

3–364 Compute the Fourier Series Coefficients for a Periodic Pulse Signal Solution

Fourier Coefficients Pulse Signal

3–365 Determine the Instantaneous Frequency of a Chirp Signal Solution

Chirp FM Instantaneous Frequency

3–366 Determine a Chirp Signal given the Instantaneous Frequency Solution

Chirp FM Instantaneous Frequency

3–367 Match Spectrum to Sinusoidal Waveforms Solution

Spectrum Cosine Match

3–368 Match Spectrum to Sinusoidal Waveforms Solution

Spectrum Cosine Match

3–369 Match Spectrum to Sinusoidal Waveforms Solution

Spectrum Cosine Match

3–370 Evaluate Fourier Series Integral for a Specific Signal Solution

Fourier Series Periodic Signal

3–371 Evaluate Fourier Series Integral for a Specific Signal Solution

Fourier Series Periodic Signal

3–372 Evaluate Fourier Series Integral for a Specific Signal Solution

Fourier Series Periodic Signal

3–373 Spectrum of a Sum of Cosine Signals

spectrum cosine signal

3–374 DC Component of a Sum of Cosines

DC sinusoids

3–375 Express the Square of a Sinusoid as a Sum of Complex Exponentials

square sinusoid complex exponential

3–376 Spectrum of a Sum of Cosine Signals

spectrum cosines

3–377 Compute the Frequencies of the Notes of the C-Major Scale

Music Scale Frequency Note

3–378 Determine the Instantaneous Frequency of a Chirp Signal

Chirp FM Instantaneous Frequency

3–379 Determine the Fourier Series of a Product of Sinusoids

Fourier Series Periodic Signal

3–380 Fourier Series Integral for Specific Signal

Fourier Series Periodic Signal

3–381 Spectrum of a Sum of Cosine Signals Solution

spectrum cosine signal

3–382 Spectrum of a Sum of Cosine Signals Solution

spectrum cosine signal

3–383 Spectrum of a Sum of Cosine Signals Solution

spectrum cosine signal

3–384 Evaluate Fourier Series Integral for a Specific Signal Solution

Fourier series DC value periodic signal

3–385 Evaluate Fourier Series Integral for a Specific Signal Solution

Fourier series DC value periodic signal

3–386 Evaluate Fourier Series Integral for a Specific Signal Solution

Fourier series DC value periodic signal

3–387 Fourier series coefficients for sum of sinusoids Solution

period complex amplitude phasor addition

3–388 Fourier series coefficients for sum of sinusoids Solution

period complex amplitude phasor addition

3–389 Fourier series coefficients for sum of sinusoids Solution

period complex amplitude phasor addition

3–390 Write sum of sinusoids from spectrum information Solution

two-sided spectrum conjugate symmetry complex phasor complex amplitude

3–391 Spectrum of cosine squared Solution

Euler's formula

3–392 Spectrum of sinusoid plus DC Solution

complex amplitude

3–393 Write sum of sinusoids from spectrum information Solution

two-sided spectrum complex amplitude time-shifted sinusoid

3–394 Add sinusoid to an existing spectrum Solution

periodic complex amplitude fundamental frequency

3–395 Frequencies of musical notes Solution

chord triad A-440 piano octave middle-C

3–396 Matching spectra to periodic signals Solution

complex amplitude DC value

3–397 Instantaneous frequency of chirp signals Solution

3–398 Plot periodic \(x(t)\) defined by Fourier integral Solution

Fourier series DC value

3–399 Derivative and time-shift of Fourier series representation Solution

properties of Fourier series

3–400 Sum of sinusoids from two-sided spectrum plot Solution

complex amplitude fundamental frequency

3–401 Spectrum for product of sinusoids Solution

complex amplitude

3–402 Sum of sinusoids from two-sided spectrum plot Solution

complex amplitude fundamental frequency

3–403 Spectrum for product of sinusoids Solution

complex amplitude

3–404 Sum of sinusoids from two-sided spectrum plot Solution

complex amplitude fundamental frequency

3–405 Spectrum for product of sinusoids Solution

complex amplitude

3–406 Fourier series and spectrum Solution

3–407 Fourier series and spectrum Solution

3–408 Fourier series and spectrum Solution

3–409 Spectrum of \(\sin(t)\)\(\sin(t)\) Defined by MATLAB Code Solution

MATLAB multiplication spectrum

3–410 Spectrum of \(\sin(t)\)+\(\sin(t)\) Defined by MATLAB Code Solution

MATLAB spectrum sum

3–411 Sinusoids Spectrum ♦ Period Solution

exponential period phasor spectrum

3–412 Spectrum of \(\cos(t)\)\(\sin(t)\) Defined by MATLAB Code Solution

MATLAB multiplication spectrum

3–413 Instantaneous Frequency of a Linear-FM (Chirp) Signal Solution

chirp exponential frequency instantaneous

3–414 Instantaneous Frequency of a Linear-FM (Chirp) Signal Solution

chirp frequency instantaneous plot

3–415 Sinusoids and Complex Numbers Solution

period amplitude phase fundamental frequency

3–416 Spectrum of a Sum of Cosine Signals Solution

spectrum cosine periodicity complex amplitude

3–417 Spectrum of AM Signal

carrier signal sinusoid spectrum frequency

3–418 Spectrum of Signal Composed of Sinusoids

Fourier Series synthesis fundamental period DC

3–419 Fourier Series Analysis and Spectrum of a Periodic Square Wave

DC component Fourier coefficients analysis integral

3–420 Match Spectrum to Periodic Waveforms

complex amplitude

3–421 Compute Frequencies of Notes in the C-Major Scale

music scale frequency note

3–422 Plot Spectrum of Summed Sinusoids Using MATLAB

discrete-time spectrum

3–423 Instantaneous Frequency of a Chirp Signal

3–424 Match Spectrum to Periodic Waveforms Solution

complex amplitude

3–425 Match Spectrum to Periodic Waveforms Solution

complex amplitude

3–426 Symmetry of the Spectrum Solution

fundamental frequency conjugate symmetry

3–427 Relate Time Shift to Phase of a Sinusoid Solution

phase fundamental period maximum

3–428 Fourier Integral & DC Value of Periodic Signal Solution

bandlimited fundamental frequency instantaneous frequency

3–429 Instantaneous Frequency of a Linear-FM (Chirp) Signal Solution

chirp exponential frequency instantaneous

3–430 Instantaneous Frequency of a Linear-FM (Chirp) Signal Solution

chirp frequency instantaneous sweep

3–431 Sinusoids Spectrum ♦ Period Solution

period phasor spectrum sum

3–432 Instantaneous Frequency of a Linear-FM (Chirp) Signal Solution

chirp derivative frequency instantaneous

3–433 Spectrum Sinusoids ♦ Fundamental Frequency and Period Solution

frequency fundamental period sinusoid spectrum

3–434 Spectrum for Sine Cubed Solution

exponential fundamental power

3–435 Spectrum for AM Signal Solution

AM phasor spectrum

3–436 Spectrum for AM Signal Solution

AM phasor spectrum

3–437 Spectrum Complex Exponentials ♦ Period Solution

period sampling sinusoid spectrum

3–438 Spectrum of \(\cos(t)\)\(\cos(t)\) Defined by MATLAB Code Solution

MATLAB multiplication spectrum

3–439 Piano Frequencies Solution

frequency music spectrum

3–440 Match Chirp to Sinusoids

instantaneous frequency

3–441 Spectrum of a Sum of Cosine Signals Solution

spectrum cosine periodicity

3–442 Spectrum of Product of 2 Sinusoids Solution

3–443 Match Spectrum to Periodic Waveforms Solution

complex amplitude

3–444 Compute Frequencies of Notes in the C-Major Scale Solution

music scale frequency note

3–445 Instantaneous Frequency of a Chirp Signal Solution

3–446 Spectrum of Real-Valued Signal Solution

complex amplitude

3–447 Features of Sinusoids Solution

period frequency spectrum

3–448 Spectrum of Real-Valued Signal Solution

complex amplitude

3–449 Features of Sinusoids Solution

period frequency spectrum

3.3–450 Spectrum Sinusoids ♦ Period Solution

period sinusoid spectrum

3.4–451 Spectrum of \(\sin(t)\)-cubed Solution

exponential period spectrum sum

3.6–452 Spectrum of AM Sinusoidal Signal Solution

AM phasor sinusoid spectrum

3.11–453 Instantaneous Frequency of a Linear-FM (Chirp) Signal Solution

chirp frequency instantaneous time

3.11–454 Instantaneous Frequency of a Linear-FM (Chirp) Signal Solution

chirp frequency instantaneous time

3.12–455 Instantaneous Frequency Compared via MATLAB Solution

chirp instantaneous MATLAB sampling sweep

3.12–456 Fourier Series for a Square Wave and Modifications

Fourier Series square wave

3.12–457 Instantaneous Frequency Compared via MATLAB Solution

chirp derivative frequency instantaneous

3.14–458 Effect of Time-Domain Modifications on the Fourier Series of a Periodic Signal

Fourier Series modifications

3.15–459 Fourier Series of a Delayed Square Wave

Fourier Series delay square wave

3.19–460 Match the Waveform with its Spectrum

match sinusoidal waveform spectrum

4–461 Sampling an AM signal Solution

two-sided spectrum periodic minimum sampling rate

4–462 Reconstruction via realizable D-to-C Solution

pulse shape rectangular triangle sample and hold

4–463 Sampling and reconstruction of a chirp Solution

linear-FM C-to-D D-to-C instantaneous frequency specgram

4–464 Spectrum of discrete-time signal and reconstruction of sinusoids Solution

aliasing spectrum plot complex amplitude

4–465 Strobe sampling of rotating disk Solution

strobe spectrum aliasing

4–466 C-to-D input derived from D-to-C output Solution

aliasing C-to-D D-to-C sampling rate reconstruction

4–467 C-to-D input derived from D-to-C output

aliasing C-to-D D-to-C sampling rate reconstruction

4–468 C-to-D input derived from D-to-C output

aliasing C-to-D D-to-C sampling rate reconstruction

4–469 Sampling and Aliasing Solution

sampling aliasing

4–470 Sampling and Aliasing Solution

sampling aliasing

4–471 Sampling and Aliasing Solution

sampling aliasing

4–472 Sampling and Aliasing Solution

sampling aliasing

4–473 Sampling and Reconstruction of Cosine Signals Solution

sampling reconstruction

4–474 Sampling and Reconstruction of Cosine Signals Solution

sampling reconstruction

4–475 Sampling and Reconstruction of Cosine Signals Solution

sampling reconstruction

4–476 D/C Reconstruction for a Discrete-Time Chirp Signal Solution

chirp converter frequency instantaneous

4–477 Spectrum for AM Signal ♦ Minimum Sampling Rate Solution

AM phasor sampling spectrum

4–478 D/C Reconstruction for a Discrete-Time Chirp Signal Solution

chirp converter instantaneous phasor

4–479 Complex Roots of Unity for Complex Exponential Signal Solution

complex exponential roots

4–480 C/D and D/C in Cascade Solution

cascade discrete sampling

4–481 Aliased Discrete-Time Sinusoid Plot in MATLAB ♦ Sampling Theorem Solution

aliasing MATLAB sampling stem

4–482 Spectrum of AM Signal \(\sin(t)\)\(\cos(t)\) ♦ Minimum Sampling Rate Solution

AM multiplication sampling spectrum

4–483 Sampled Sinusoid ♦ Over-Sampled or Under-Sampled Solution

amplitude phase sampling sinusoid

4–484 Strobe Demo Solution

phasor sampling strobe

4–485 Continuous-Time Sinusoid From Discrete-Time \(x[n]\) ♦ D/C Reconstruction Solution

cascade folding sampling spectrum

4–486 Aliased Discrete-Time Sinusoid Plot in MATLAB ♦ Sampling Theorem Solution

MATLAB period sampling stem

4–487 C/D and D/C in Cascade ♦ Input Spectrum Given Solution

cascade discrete sampling spectrum

4–488 Spectrum Sinusoids ♦ Period & Minimum Sampling Rate Solution

period sampling sinusoid spectrum

4–489 D/C Reconstruction for a Discrete-Time Chirp Signal Solution

chirp converter instantaneous phasor

4–490 Spectrum Sinusoids ♦ Sampling ♦ Sketch Spectrum for \(x[n]\) Solution

phasor sampling spectrum

4–491 C/D and D/C in Cascade ♦ Reconstruction of \(x[n]\) Solution

converter output reconstruction sampling

4–492 Strobe Demo Solution

phasor sampling spectrum strobe

4–493 C/D and D/C in Cascade ♦ Sketch Spectrum of \(x[n]\) Solution

cascade converter output sampling spectrum

4–494 Continuous-Time Sinusoid From Discrete-Time \(x[n]\) ♦ D/C Reconstruction Solution

converter discrete reconstruction sampling

4–495 Strobe Demo Solution

phasor sampling strobe

4–496 D/C Reconstruction for a Given Reconstruction Pulse Solution

converter output reconstruction sampling

4–497 Sinusoids and Sampling Solution

period complex exponential amplitude phase

4–498 Sampling Theorem Solution

Nyquist Rate reconstruction

4–499 Discrete-time sinusoid from samples

MATLAB stem plot phasor

4–500 Sampling a Sinusoid

sampling period

4–501 Sampling and Aliasing a Sinusoid

sampling frequency oversampling undersampling

4–502 Sampling Rate from Spectrum of AM Sinusoid

AM phasor sampling spectrum

4–503 Continuous-Time Sinusoid From Discrete-Time \(x[n]\)

amplitude phase sampling continuous

4–504 Strobe Demo

rate speed strobe aliasing spectrum

4–505 Sampling a Digital Chirp Signal

phasor D-A converter aliasing

4–506 Non-Ideal Reconstruction of Sampled Signals

reconstruction d-to-C converter

4–507 TV and Rotating Wagon Wheel

sampling rate aliasing

4–508 Sampling of Signals given the Spectrum Solution

sampling cosine aliasing

4–509 Sampling and Reconstruction of a Chirp Signal Solution

Nyquist instantaneous frequency

4–510 Sampling of Signals given the Spectrum Solution

sampling cosine aliasing

4–511 Sampling and Reconstruction of a Chirp Signal Solution

Nyquist instantaneous frequency

4–512 Sampling an AM signal Solution

spectrum periodic minimum sampling rate

4–513 Sampling and reconstruction of a chirp Solution

linear-FM C-to-D D-to-C instantaneous frequency specgram

4–514 Sampling and aliasing of sinusoids Solution

C-to-D D-to-C sampling rate discrete-time spectrum

4–515 Sampling and aliasing of sinusoids Solution

C-to-D D-to-C sampling rate discrete-time spectrum

4–516 Sampling Cosine Signals Solution

Sampling Nyquist Rate

4–517 Sampling Cosine Signals Solution

Sampling Nyquist Rate

4–518 Sampling Cosine Signals Solution

Sampling Nyquist Rate

4–519 Sampling a Bandlimited Periodic Signal Solution

Sampling Periodic Signal

4–520 Strobe Sampling of a Rotating Disk Solution

Strobe Rotating Disk

4–521 Sampling a Cosine Signal using MATLAB Solution

MATLAB Spectrum Sampling

4–522 Sampling a Cosine Signal using MATLAB Solution

MATLAB Spectrum Sampling

4–523 Non-Ideal Reconstruction of Sampled Signals Solution

Reconstruction

4–524 Sampling and Reconstruction of a Chirp Signal Solution

Sampling Reconstruction Chirp

4–525 Sampling of Cosine Signals Solution

Sampling Cosine Aliasing

4–526 Sampling and Reconstruction of a Chirp Signal Solution

Sampling Reconstruction Chirp

4–527 Sampling of Cosine Signals Solution

Sampling Cosine Aliasing

4–528 Sampling and Reconstruction of a Chirp Signal Solution

Sampling Reconstruction Chirp

4–529 Sampling of Cosine Signals Solution

Sampling Cosine Aliasing

4–530 Sampling a Bandlimited Periodic Signal

sampling spectrum reconstruction

4–531 Sampling a Bandlimited Periodic Signal

sampling spectrum reconstruction

4–532 Sampling a Bandlimited Periodic Signal

sampling spectrum reconstruction

4–533 Non-Ideal Reconstruction of Sampled Signals

nonideal reconstruction interpolation

4–534 Strobe Sampling of a Rotating Disk

Strobe Rotating Disk

4–535 Sampling and Reconstruction of a Chirp Signal

sampling reconstruction chip

4–536 Sampling a Bandlimited Periodic Signal Solution

sampling bandlimited

4–537 Sampling a Periodic C-T Signal to Obtain a Periodic D-T Signal Solution

Sampling Periodic Signal

4–538 Sampling of Cosine Signals Solution

sampling aliasing reconstruction

4–539 Sampling of Cosine Signals Solution

sampling aliasing reconstruction

4–540 Sampling of Cosine Signals Solution

sampling aliasing reconstruction

4–541 Sampling of AM signal from its spectrum Solution

Nyquist rate minimum sampling rate discrete-time spectrum

4–542 Sampling & aliasing given continuous-time spectrum Solution

Discrete-time spectrum minimum sampling rate

4–543 Reconstruction from discrete-time spectrum Solution

sampling rate aliasing Nyquist rate D-to-C converter

4–544 Reconstruction via realizable D-to-C Solution

pulse shape rectangular triangle sample and hold

4–545 Strobe sampling of rotating disk Solution

strobe spectrum aliasing

4–546 Instantaneous frequency of chirp after sampling & reconstruction Solution

folding sampling rate specgram

4–547 Determine sampling rate from input and sampled sinusoids Solution

C-to-D converter D-to-C discrete-time spectrum

4–548 Sampling & reconstruction of periodic signal Solution

C-to-D converter D-to-C discrete-time spectrum period fundamental frequency

4–549 Period of discrete-time signal when sampling Solution

sampling rate sinusoid Nyquist rate

4–550 File sizes for music representations Solution

synthetic music sheet music D-to-A converter

4–551 Sampling and reconstruction of sum of sinusoids Solution

sampling rate Nyquist rate discrete-time spectrum DC value

4–552 Sampling and reconstruction of sum of sinusoids Solution

sampling rate Nyquist rate discrete-time spectrum DC value

4–553 Sampling and reconstruction of sum of sinusoids Solution

sampling rate Nyquist rate discrete-time spectrum DC value

4–554 Strobe Demo Solution

rate speed strobe

4–555 Continuous-Time Sinusoid From Discrete-Time \(x[n]\) ♦ Sampling Theorem Solution

amplitude phase sampling continuous

4–556 Sampled Sinusoid ♦ Over-Sampled or Under-Sampled Solution

amplitude frequency phase sampling

4–557 C/D and D/C in Cascade Solution

cascade converter output sampling

4–558 Continuous-Time Sinusoid From Discrete-Time \(x[n]\) ♦ Sampling Theorem Solution

converter sampling sinusoid continuous

4–559 Complex Roots of Unity for Complex Exponential Signal Solution

complex exponential roots

4–560 Sampled Sinusoid ♦ Over-Sampled or Under-Sampled Solution

amplitude frequency phase sampling

4–561 Aliased Discrete-Time Sinusoid Plot in MATLAB ♦ Sampling Theorem Solution

aliasing folding MATLAB sampling

4–562 Strobe Demo Solution

rate speed strobe

4–563 Spectrum of Discrete-Time Sinusoid Defined by MATLAB Code Solution

MATLAB phasor spectrum

4–564 D/C Reconstruction for a Given Reconstruction Pulse Solution

converter period reconstruction sampling

4–565 Spectrum Sinusoids ♦ Sampling ♦ Sketch Spectrum for \(x[n]\) Solution

phasor sampling spectrum

4–566 Strobe Demo: Wagon Wheel Solution

rate speed strobe

4–567 Sampling Theorem Solution

Nyquist Rate reconstruction MATLAB soundsc C-to-D converter

4–568 Sampling of Signals Given the Spectrum

sampling cosine aliasing C-to-D D-to-C

4–569 Strobe Demo

rate speed strobe aliasing spectrum

4–570 Non-Ideal Reconstruction of Sampled Signals

reconstruction D-to-C converter

4–571 Sampling of Signals Given the Spectrum Solution

sampling cosine frequency amplitude phase

4–572 Sampling & Reconstruction of Sinusoids Solution

aliasing sampling rate spectrum C-to-D converter D-to-C converter

4–573 Aliased Discrete-Time Sinusoid Plot in MATLAB ♦ Sampling Theorem Solution

aliasing MATLAB sampling sinusoid

4–574 Strobe Demo Solution

rate speed strobe

4–575 D/C Reconstruction for a Discrete-Time Chirp Signal Solution

chirp converter phasor reconstruction rotating

4–576 Sampled Sinusoid ♦ Over-Sampled or Under-Sampled Solution

amplitude phase sampling

4–577 Strobe Demo Solution

rate speed strobe

4–578 Continuous-Time Sinusoid From Discrete-Time \(x[n]\) ♦ Sampling Theorem Solution

analog sampling continuous

4–579 Strobe Demo Solution

rate speed strobe

4–580 Continuous-Time Sinusoid From Discrete-Time \(x[n]\) ♦ Sampling Theorem Solution

analog sampling continuous

4–581 Discrete-Time Signal \(x[n]\) Derived from Sampling an Input Spectrum Solution

discrete sampling spectrum

4–582 C/D and D/C in Cascade ♦ Determine Inputs from Output Solution

cascade converter sampling continuous

4–583 Strobe Demo Solution

phasor spectrum strobe

4–584 Spectrum Sinusoids ♦ Sketch Spectrum for Sampled Signal Solution

phasor rotating sampling spectrum

4–585 C/D and D/C in Cascade ♦ Choosing Sampling Frequency Solution

cascade converter frequency sampling

4–586 Continuous-Time Sinusoid From Discrete-Time \(x[n]\) ♦ D/C Reconstruction Solution

converter reconstruction sampling continuous

4–587 Strobe Demo Solution

phasor spectrum strobe

4–588 Aliased Discrete-Time Sinusoid Plot in MATLAB ♦ Sampling Theorem Solution

aliasing discrete folding MATLAB sampling

4–589 Strobe Demo Solution

rate speed strobe

4–590 Strobe Demo Solution

rate speed strobe

4–591 Line Spectrum of a Periodic Signal ♦ Minimum Sampling Rate Solution

multiplication period sampling spectrum

4–592 Continuous-Time Sinusoid From Discrete-Time \(x[n]\) ♦ Sampling Theorem Solution

amplitude discrete phase sampling continuous

4–593 Sampled Sinusoid ♦ Over-Sampled or Under-Sampled Solution

amplitude phase sampling

4–594 C/D and D/C in Cascade Solution

cascade converter sampling sum

4–595 Strobe Demo Solution

rate speed strobe

4–596 Continuous-Time Sinusoid From Discrete-Time \(x[n]\) ♦ Sampling Theorem Solution

converter discrete sampling continuous

4–597 Complex Roots of Unity for Complex Exponential Signal Solution

complex exponential polynomial roots

4–598 Strobe Demo Solution

rate speed strobe

4–599 Aliased Discrete-Time Sinusoid Plot in MATLAB Solution

aliasing discrete MATLAB sinusoid

4–600 C/D and D/C in Cascade ♦ Input Spectrum Given Solution

cascade converter sampling spectrum

4–601 Strobe Demo

complex phasor

4–602 Sinusoid and Chirp through D/A converter

aliasing sampling rate

4–603 D/C Reconstruction for a Discrete-Time Chirp Signal Solution

chirp converter discrete phasor reconstruction

4–604 Complex Roots of Unity for Complex Exponential Signal Solution

complex exponential polynomial roots

4–605 C/D and D/C in Cascade Solution

cascade converter sampling

4–606 Aliased Discrete-Time Sinusoid Plot in MATLAB ♦ Sampling Theorem Solution

aliasing discrete folding MATLAB sampling stem

4–607 Strobe Demo Solution

rate speed strobe

4–608 Strobe Demo: Wagon Wheel Solution

rate speed strobe

4–609 Discrete-time sinusoid from samples

oversampled undersampled

4–610 Sampling and Reconstruction from Input Spectrum

aliasing sampling rate spectrum C-to-D converter D-to-C converter

4–611 D/C Reconstruction for Different Reconstruction Pulses Solution

converter output pulse reconstruction

4–612 Spectrum Sinusoids ♦ Minimum Sampling Rate Solution

period sampling sinusoid spectrum

4–613 Spectrum of Discrete-Time Sinusoid Defined by MATLAB Code Solution

discrete MATLAB phasor sinusoid spectrum

4–614 C/D and D/C in Cascade ♦ Input Signal is a Chirp Solution

cascade chirp converter sampling

4–615 Strobe Demo ♦ Wagon Wheel Solution

phasor rate strobe

4–616 Sampling Theorem Solution

Nyquist Rate reconstruction MATLAB soundsc C-to-D converter

4–617 Sampling Theorem Solution

Nyquist Rate reconstruction MATLAB soundsc C-to-D converter

4–618 Plot Spectrum of Summed Sinusoids Using MATLAB Solution

discrete-time spectrum

4–619 Non-Ideal Reconstruction of Sampled Signals

reconstruction D-to-C converter

4–620 Sampling of Signals Given the Spectrum Solution

sampling cosine aliasing

4–621 Sampling of Signals Given the Spectrum Solution

sampling cosine aliasing

4x–622 Discrete-Time Sinusoid. Derived by Sampling

oversampled undersampled

4.1–623 MATLAB Code for Aliased Sinusoid Solution

aliasing MATLAB plot sinusoid

4.9–624 Response of FIR to Complex Exponential Solution

amplitude difference exponential phase

4.11–625 Sampling an AM Spectrum Solution

AM multiplication sampling spectrum

4.12–626 Sampling a Line Spectrum Solution

power sampling spectrum

4.13–627 MATLAB Code for Aliased Sinusoid Solution

aliasing folding MATLAB sinusoid

4.14–628 Spectrum of AM Sinusoid Solution

AM phasor sampling spectrum

4.15–629 Cascade of A/D & D/A with Spectrum Solution

cascade converter sampling spectrum

4.16–630 Strobe Demo Solution

rate speed strobe

4.18–631 Quadratic Phase Solution

chirp exponential phasor quadratic

5–632 Unit-step response of FIR system via convolution Solution

difference equation FIR impulse response filter coefficients

5–633 Length of Convolution Solution

flip and slide support

5–634 Impulse response of cascaded LTI systems Solution

delta filter coefficients running average filter

5–635 Difference equation and impulse response of cascaded LTI systems Solution

delta FIR

5–636 Block diagram of FIR system and output signal Solution

impulse response delta

5–637 Output from FIR Filter for Finite-Length Input Signal ♦ Impulse Response Solution

impulse LTI output

5–638 Output from FIR Filter for Complex Exponential Input Signal Solution

difference exponential output

5–639 Running Average FIR Filter ♦ Step Response Solution

average filter running

5–640 Linearity & Time-Invariance Properties Solution

frequency input LTI output

5–641 Difference Equation Block Diagram of FIR Filter Solution

block difference filter

5–642 Plot Finite-Length Signal \(x[n]\) Defined by Shifted Impulses Solution

delay Dirac shift step

5–643 Difference Equation from Block Diagram of FIR Filter Solution

block difference filter

5–644 Linearity & Time-Invariance Used to Construct Output Signal Solution

input LTI output

5–645 Output from FIR Filter for Complex Exponential Input Signal Solution

exponential filter output

5–646 Output of LTI System to \(u[n]\)

FIR difference equation unit step function running sum

5–647 Output of LTI System to Complex Exponentials

FIR difference equation unit step function running sum

5–648 Output from FIR Filter for Finite-Length Input Signal

difference FIR filter impulse response LTI

5–649 Draw Block Diagrams from FIR Difference Equation

LTI direct form transposed direct form

5–650 Determine the Duration of the Output of an FIR Filter

FIR Filter Output support convolution

5–651 Construct Output via Linearity and Time-Invariance

Linearity Time-Invariance FIR filter

5–652 Construct Output via Linearity and Time-Invariance

input LTI output unit step

5–653 Impulse response of cascade of two systems Solution

cascade difference equation

5–654 Properties of LTI systems Solution

linearity time-invariance causality

5–655 Output signal using linearity & time-invariance Solution

FIR shifted impulse causality

5–656 Difference equation and \(H(z)\) from impulse response Solution

convolution delta output signal

5–657 Difference equation and \(H(z)\) from impulse response Solution

convolution delta output signal

5–658 Determine the Output of an FIR Filter for a Given Input Solution

FIR Filter Output

5–659 Determine the Duration of the Output of an FIR Filter Solution

FIR Filter Output

5–660 Cascade Connection of LTI Systems Solution

Cascade LTI

5–661 Find Outputs of an FIR Filter for Step and Cosine Inputs Solution

FIR Filter Output

5–662 Find Outputs of an FIR Filter for Step and Cosine Inputs Solution

FIR Filter Output

5–663 Find Outputs of an FIR Filter for Step and Cosine Inputs Solution

FIR Filter Output

5–664 Using the Unit Step Sequence to Represent a Finite-Length Signal Solution

unit step finite-length

5–665 Determine the Duration of the Output of an FIR Filter Solution

FIR filter impulse response

5–666 Cascade Connection of LTI Systems Solution

cascade difference equation impulse response

5–667 Test for Linearity and Time-Invariance

Linearity Time-Invariance

5–668 Unit step response of 3-point averager Solution

finite-length pulse

5–669 Nonzero region of FIR filter output Solution

convolution filter coefficients

5–670 Impulse response & difference equation of cascaded systems Solution

convolution

5–671 FIR filtering of signal defined by its spectrum Solution

9-point averager output signal

5–672 Difference equation & block diagram from impulse response Solution

linear time-invariant causal nonlinear system

5–673 Output from convolution of impulse response & input pulse Solution

running sum FIR

5–674 Difference equation & block diagram from impulse response Solution

linear time-invariant causal nonlinear system

5–675 Output from convolution of impulse response & input pulse Solution

running sum FIR

5–676 Difference equation & block diagram from impulse response Solution

linear time-invariant causal nonlinear system

5–677 Output from convolution of impulse response & input pulse Solution

running sum FIR

5–678 Linearity & Time-Invariance Used to Construct Output Signal Solution

input LTI output

5–679 Linearity & Time-Invariance Used to Construct Output Signal Solution

input LTI output

5–680 Output from FIR Filter for Finite-Length Input Signal Solution

filter input LTI output

5–681 Output from FIR Filter for Complex Exponential Input Signal Solution

amplitude difference exponential phase

5–682 Output from FIR Filter for Finite-Length Input Signal Solution

difference filter output

5–683 Impulse Response of FIR Filter ♦ Complex Exponential Response Solution

difference exponential filter impulse

5–684 Output of LTI System to Finite Length Complex Exponential

FIR difference equation

5–685 Output from FIR Filter for Finite-Length Input Signal Solution

difference equation convolution LTI

5–686 Construct Output via Linearity and Time-Invariance Solution

linearity time-invariance FIR filter causal

5–687 Matching Output Signal to \(h[n]\) or Difference Equation Solution

impulse response conv

5–688 Output from FIR Filter for Complex Exponential Input Signal Solution

difference exponential filter output

5–689 Linearity & Time-Invariance Used to Construct Output Signal Solution

LTI ramp step

5–690 Output from FIR Filter for Complex Exponential Input Signal Solution

amplitude difference exponential filter phase

5–691 Running Average FIR Filter ♦ Step Response Solution

averager filter running step

5–692 Output from FIR Filter for Finite-Length Input Signal Solution

difference filter LTI output

5–693 Output from FIR Filter for Finite-Length Input Signal Solution

filter input LTI output

5–694 Output from FIR Filter for Finite-Length Input Signal Solution

filter input LTI output

5–695 Linearity & Time-Invariance Used to Construct Output Signal Solution

input LTI output

5–696 Output from FIR Filter for Complex Exponential Input Signal Solution

amplitude difference exponential filter phase

5–697 Linearity & Time-Invariance Used to Construct Output Signal Solution

Dirac LTI output

5–698 Output from FIR Filter for Finite-Length Input Signal ♦ Impulse Response Solution

difference filter impulse

5–699 Output of LTI System to \(u[n]\) Solution

FIR difference equation unit step function running sum

5–700 Determine the Duration of the Output of an FIR Filter Solution

FIR filter length

5–701 Construct Output via Linearity and Time-Invariance Solution

linearity time-invariance FIR filter causal

5–702 Find Output of FIR Filter Given Coefficients Solution

MATLAB shifted impulse

5–703 Construct Output via Linearity and Time-Invariance Solution

input LTI output impulse signal

5–704 Output from FIR Filter for Finite-Length Input Signal Solution

difference equation convolution LTI

5–705 Cascade of Two LTI Systems Solution

blurring filter impulse response difference equation

5.1–706 Running Average FIR Filter ♦ Time Response Solution

averager running step

5.6–707 Output from FIR Filter for Finite-Length Input Signal Solution

filter impulse output

5.8–708 Linearity & Time-Invariance Used to Construct Output Signal Solution

input LTI output

6–709 Output from FIR system given input spectrum

averaging filter frequency response

6–710 Sinusoidal response of nonlinear system Solution

linearity time-invariance causality

6–711 Matching frequency responses to FIR systems Solution

impulse response difference equation filter coefficients

6–712 Sinusoidal response from FIR frequency response Solution

sinusoid-in sinusoid-out

6–713 Matching frequency responses to FIR systems

impulse response difference equation filter coefficients

6–714 Sinusoidal response from FIR frequency response

sinusoid-in sinusoid-out

6–715 Matching frequency responses to FIR systems

impulse response difference equation filter coefficients

6–716 Sinusoidal response from FIR frequency response

sinusoid-in sinusoid-out

6–717 Frequency Response of an FIR Filter Solution

FIR filter frequency response

6–718 Cascade of FIR Filters Solution

FIR cascade impulse response

6–719 Determine the Impulse Response and Frequency Response of an FIR Filter Solution

FIR impulse response frequency response

6–720 Frequency Response of an FIR Filter Solution

FIR filter frequency response

6–721 Cascade of FIR Filters Solution

FIR cascade impulse response

6–722 Determine the Impulse Response and Frequency Response of an FIR Filter Solution

FIR impulse response frequency response

6–723 Frequency Response of an FIR Filter Solution

FIR filter frequency response

6–724 Cascade of FIR Filters Solution

FIR cascade impulse response

6–725 Determine the Impulse Response and Frequency Response of an FIR Filter Solution

FIR impulse response frequency response

6–726 Frequency Response from FIR Difference Equation ♦ Magnitude & Phase Solution

difference frequency LTI

6–727 Frequency Response from FIR Difference Equation ♦ Magnitude & Phase ♦ \(h[n]\) Solution

difference frequency impulse LTI

6–728 Linearity & Time-Invariance Properties Solution

frequency input LTI output

6–729 Frequency Response from FIR Difference Equation ♦ Magnitude & Phase ♦ \(h[n]\) Solution

difference frequency impulse LTI

6–730 Dirichlet (aliased sinc) Function Plot vs. Frequency Solution

dirichlet frequency maximum sinc

6–731 Output Signal & Frequency Response for FIR Filter Defined by MATLAB Code Solution

filter frequency MATLAB time

6–732 Design FIR Low-Pass Averager to Null Sinusoidal Inputs Sampled by C/D Solution

averager converter nulling output

6–733 Frequency Response from FIR Difference Equation

LTI magnitude phase freqz MATLAB nulling

6–734 Output of FIR Difference Equation

impulse response magnitude phase sinusoid-in sinusoid-out

6–735 Dirichlet (aliased sinc) Function Plot vs. Frequency

dirichlet maximum period sinc zero crossings

6–736 Output of FIR Filter Given Input Spectrum Frequency Response

spectrum sinusoid-in sinusoid-out

6–737 Find Output of LTI Filter Given Frequency Response

FIR difference equation impulse response sinusoid-in sinusoid-out filter coefficients

6–738 Filtering a Signal Given its Frequency Spectrum

sampling A-D conversion phasor nulling

6–739 Linearity & Time-Invariance Properties to Construct Output

input LTI output delta

6–740 Cascade of Two LTI Systems

frequency response overall difference equation

6–741 Find Impulse and Frequency Response of FIR Filter Solution

6–742 Find Output of FIR Filter for Step and Cosine Inputs Solution

sinusoid-in sinusoid-out Dirichlet

6–743 Find Impulse and Frequency Response of FIR Filter Solution

6–744 Find Output of FIR Filter for Step and Cosine Inputs Solution

sinusoid-in sinusoid-out Dirichlet

6–745 Output from FIR system given input spectrum Solution

averaging filter frequency response

6–746 Plot of Dirichlet function Solution

frequency response mainlobe width

6–747 Output signal & difference equation from frequency response Solution

impulse response cascade delta complex exponential

6–748 Sinusoidal response given frequency response Solution

lowpass bandpass highpass H(z) sinusoid-in sinusoid-out

6–749 Sinusoidal response given frequency response Solution

lowpass bandpass highpass H(z) sinusoid-in sinusoid-out

6–750 Cascade Connection of Three FIR Systems Solution

Cascade LTI

6–751 Match FIR Frequency Response to other Representations Solution

FIR Match

6–752 Determine the Impulse Response and Frequency Response of an FIR Filter Solution

FIR Filter Frequency Response Impulse Response

6–753 Match FIR Frequency Response to other Representations Solution

FIR Match

6–754 Determine the Impulse Response and Frequency Response of an FIR Filter Solution

FIR Filter Frequency Response Impulse Response

6–755 Match FIR Frequency Response to other Representations Solution

FIR Match

6–756 Determine the Impulse Response and Frequency Response of an FIR Filter Solution

FIR Filter Frequency Response Impulse Response

6–757 Test for Linearity and Time-Invariance ♦ Find the Output Due to Sum of Cosines Solution

nonlinear system cosine input

6–758 Cascade Connection of LTI Systems ♦ Frequency Response Solution

cascade frequency response

6–759 Determine the Impulse Response and Frequency Response of an FIR Filter Solution

FIR filter impulse response frequency response

6–760 Frequency Response of Cascade of FIR Filters Solution

cascade FIR frequency response

6–761 Determine the Impulse Response and Frequency Response of an FIR Filter Solution

FIR filter impulse response frequency response

6–762 Frequency Response of Cascade of FIR Filters Solution

cascade FIR frequency response

6–763 Determine the Impulse Response and Frequency Response of an FIR Filter Solution

FIR filter impulse response frequency response

6–764 Frequency Response of Cascade of FIR Filters Solution

cascade FIR frequency response

6–765 Sinusoidal response of nonlinear system

Euler's formula linear time-invariant causal

6–766 Frequency response of cascaded systems Solution

convolution product

6–767 Impulse response from factored frequency response Solution

sinusoidal output nulling difference equation superposition

6–768 Frequency response and sinusoidal response Solution

sinusoid-in sinusoid-out

6–769 Frequency response and sinusoidal response Solution

sinusoid-in sinusoid-out

6–770 Frequency response and sinusoidal response Solution

sinusoid-in sinusoid-out

6–771 Output Signal & Frequency Response for FIR Filter Defined by MATLAB Code Solution

filter frequency MATLAB time

6–772 Output Signal & Frequency Response for FIR Filter Defined by MATLAB Code Solution

filter frequency MATLAB time

6–773 Frequency Response from FIR Difference Equation ♦ Magnitude & Phase ♦ \(h[n]\) Solution

difference frequency impulse

6–774 Frequency Response from FIR Difference Equation ♦ Sinusoidal Response Solution

difference frequency output

6–775 Frequency Response from FIR Difference Equation ♦ \(h[n]\) ♦ Convolution Solution

convolution difference frequency impulse

6–776 Output of Averaging Filter Given Input Spectrum

spectrum MATLAB ltidemo

6–777 Dirichlet (aliased sinc) Function Plot vs. Frequency

dirichlet maximum period sinc zero crossings

6–778 Discrete-Time Processing of Continuous-Time Signals

C-to-D converter D-to-C converter H(z) frequency response

6–779 Filtering Sinusoids Using MATLAB

conv frequency response zeros FIR nulling

6–780 Match Frequency Response to Difference Equation or Impulse Response Solution

delta

6–781 Sampling Theorem & Frequency Response Solution

Nyquist Rate Fourier Series FIR

6–782 Output and Frequency Response of FIR Filter Solution

high pass low pass

6–783 Matching Frequency Responses Solution

Impulse Response h[n] difference equation delta

6–784 Frequency Response of FIR Filter Solution

magnitude output signal response delta

6–785 Dirichlet (aliased sinc) Function Plot vs. Frequency Solution

dirichlet maximum period sinc

6–786 Frequency Response of L-point Running Average FIR Filter Solution

averager frequency running

6–787 Output from FIR Filter for Sinusoidal Input Signal Solution

averager filter output

6–788 Frequency Response from FIR Difference Equation ♦ Magnitude & Phase Solution

blurring difference filter frequency

6–789 Filter Characteristics Derived from MATLAB Plot of Output Signal Solution

filter DC gain MATLAB zero

6–790 Cascade of 2 FIR Filters ♦ Multiplying Frequency Responses Solution

averager cascade delay frequency

6–791 Dirichlet (aliased sinc) Function Plot vs. Frequency Solution

dirichlet maximum period sinc

6–792 Linearity & Time-Invariance Properties Solution

frequency LTI output

6–793 Frequency Response from FIR Difference Equation ♦ Magnitude & Phase Solution

difference filter frequency

6–794 Output Signal when given Input Spectrum and FIR Frequency Response Solution

filter frequency spectrum

6–795 Frequency Response for Digital Filter defined by MATLAB

output signal time response magnitude

6–796 Digital Spectrum through Frequency Response

6–797 Frequency Response from FIR Difference Equation ♦ \(h[n]\) ♦ Sinusoidal Response Solution

difference exponential frequency impulse

6–798 Frequency Response from FIR Difference Equation ♦ Magnitude & Phase ♦ \(h[n]\) Solution

difference frequency impulse

6–799 Frequency Response from FIR Difference Equation ♦ Sinusoidal Response Solution

difference filter frequency

6–800 Plot Dirichlet Function

aliased sinc function

6–801 FIR Difference Equation from Frequency Response ♦ Complex Exponential Input Solution

difference Dirac exponential frequency

6–802 Cascade of 2 FIR Filters ♦ Multiplying Frequency Responses Solution

cascade exponential filter frequency multiplication system

6–803 Frequency Response from FIR Difference Equation ♦ Magnitude & Phase Solution

difference filter frequency

6–804 FIR Difference Equation from Frequency Response ♦ Response for Input Spectrum Solution

difference exponential filter frequency spectrum

6–805 Output from FIR Filter for Sinusoidal Input Signal Solution

amplitude discrete filter period

6–806 FIR Filters And Sinusoids Using MATLAB Solution

frequency response difference equation sinusoids

6–807 FIR Filters And Sinusoids Using MATLAB Solution

frequency response difference equation sinusoids

6–808 Output of FIR Difference Equation Solution

impulse response magnitude phase sinusoid-in sinusoid-out

6–809 Filtering a Signal Given its Frequency Spectrum Solution

sampling A-D conversion phasor nulling complex amplitude

6–810 Cascade of Two LTI Systems Solution

LTI frequency response difference equation

6–811 Discrete-Time Processing of Continuous-Time Signals Solution

C-to-D converter D-to-C converter Dirichlet frequency response

6–812 Find Impulse and Frequency Response of FIR Filter Solution

magnitude filter coefficients

6–813 Sinusoids and Sampling Solution

Nyquist frequency reconstruction D-to-C MATLAB difference equation sinusoid-in sinusoid-out

6–814 Find Impulse and Frequency Response of FIR Filter Solution

6.1–815 Dirichlet (aliased sinc) Function Plot vs. Frequency Solution

dirichlet maximum period sinc

6.9–816 Linearity & Time-Invariance Properties Solution

input LTI output

9–817 Impulse and step response for cascaded FIR systems Solution

system function H(z)

9–818 Impulse and step response for cascaded FIR systems

system function H(z)

9–819 Impulse and step response for cascaded FIR systems

system function H(z)

9–820 Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\) Solution

difference impulse system

9–821 Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Zeros ♦ Difference Equation Solution

cascade difference pole zero

9–822 Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane Solution

plot polynomial roots

9–823 Output Signal \(y[n]\) from FIR \(H(z)\) and Sinusoidal Input Signal \(x[n]\) Solution

input output system

9–824 Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Zeros ♦ Difference Equation Solution

cascade difference filter system

9–825 Cascade of 3 FIR Systems: Obtain Overall Difference Equation Solution

cascade difference filter

9–826 Output Signal \(y[n]\) from FIR \(H(z)\) and Sinusoidal Input Signal \(x[n]\) Solution

input output sinusoid system

9–827 \(H(z)\) for FIR Filter ♦ Zeros ♦ Frequency Response ♦ Impulse Response \(h[n]\) Solution

difference filter frequency impulse system zero

9–828 Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Difference Equation ♦ Impulse Response \(h[n]\) Solution

cascade difference impulse system

9–829 Pole-Zero Plot for \(H(z)\) ♦ Nulling Sinusoidal Inputs ♦ Sketch Frequency Response Solution

difference frequency nulling pole system zero

9–830 System Functions and Frequency Response Solution

H(z) FIR

9–831 Discrete-Time Filtering of a Continuous-Time Signal Solution

LTI FIR pole zero effective frequency response

9–832 FIR Difference Equation from System Function

LTI impulse response H(z)

9–833 \(H(z)\) and output signal for FIR Filter

difference filter FIR zeros frequency response sinusoid-in sinusoid-out

9–834 Compute \(z\mbox{-}\)Transforms of shifted impulses

linearity time delay

9–835 Filtering Sinusoids Using MATLAB

conv H(z) zeros FIR nulling

9–836 Find Ouput of LTI System Function

superposition sinusoid-in sinusoid-out

9–837 \(H(z)\) and Difference Equation for Cascade of 3 FIR Systems

LTI z-Transform difference equation

9–838 Discrete-Time Processing of Continuous-Time Signals

C-to-D converter D-to-C converter H(z)

9–839 Different descriptions of an FIR system Solution

difference equation impulse response frequency response H(z) system function

9–840 3 domains from MATLAB code Solution

frequency response system function H(z) output sound

9–841 \(H(z)\) for cascaded systems Solution

impulse response poles zeros

9–842 \(H(z)\) for cascaded systems Solution

impulse response poles zeros

9–843 Find the System Function \(H(z)\) Given Other System Descriptions Solution

System Function

9–844 Analyze a System Defined by a MATLAB Program

LTI system MATLAB

9–845 Find Outputs of an FIR Filter Defined by a Factored System Function Solution

output factored H(z)

9–846 Deconvolution in cascade of systems Solution

difference equation impulse response

9–847 Frequency response & \(H(z)\) from MATLAB code Solution

sound convolution sinusoidal output

9–848 Three domains: moving among them Solution

difference equation impulse response frequency response system function H(z) Euler's formula

9–849 Impulse response and \(H(z)\) for parallel connection Solution

zeros difference equation system function

9–850 Impulse response and \(H(z)\) for parallel connection Solution

zeros difference equation system function

9–851 Impulse response and \(H(z)\) for parallel connection Solution

zeros difference equation system function

9–852 \(H(z)\) for FIR Filter ♦ Zeros ♦ Frequency Response ♦ Sinusoidal Input Solution

difference filter frequency system

9–853 Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\) Solution

difference impulse system

9–854 Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\) ♦ Step Response Solution

difference impulse step system

9–855 \(H(z)\) Factored into Cascade of 2 FIR Systems Solution

block cascade filter system

9–856 \(H(z)\) and Difference Equation from Block Diagram for FIR Filter Solution

block difference filter system

9–857 \(H(z)\) and Difference Equation from Block Diagram for FIR Filter Solution

block difference filter system

9–858 Frequency Response from Pole-Zero Plot Solution

pole zero FIR magnitude

9–859 Discrete-Time Filtering of a Continuous-Time Signal Solution

LTI FIR pole zero H(z)

9–860 Cascade of 3 LTI Systems

frequency response difference equation z-Transform

9–861 Ouput of LTI System Function via \(z\mbox{-}\)Transforms

difference equation zeros convolution

9–862 Discrete-Time Processing of Continuous-Time Signals Solution

C-to-D converter D-to-C converter H(z)

9–863 Cascade FIR Systems Solution

Impulse Response H(z) delta

9–864 Discrete-Time Filtering of Continuous-Time Signals Solution

Cosine input Spectrum H(z)

9–865 Zeros of Cascaded FIR Systems Solution

difference equation system function H(z) nulling z-plane equivalent system

9–866 Frequency Response from \(H(z)\) ♦ Nulling ♦ Sinusoidal Input Solution

frequency nulling sinusoid system

9–867 Output Signal \(y[n]\) from FIR \(H(z)\) and Complex Exponential Input \(x[n]\) Solution

exponential filter phasor system

9–868 Difference Equation from \(H(z)\) ♦ Frequency Response Solution

difference frequency system

9–869 Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane Solution

plot polynomial roots

9–870 Output Signal \(y[n]\) from FIR \(H(z)\) and Periodic Input Signal \(x[n]\) Solution

filter output period system

9–871 \(H(z)\) for FIR Filter ♦ Zeros ♦ Complex Exponential Inputs Solution

exponential filter roots system

9–872 Cascade of 3 FIR Systems: Obtain Overall Difference Equation Solution

cascade difference filter

9–873 Output Signal \(y[n]\) from FIR \(H(z)\) and Complex Exponential Input \(x[n]\) Solution

exponential filter phasor system

9–874 Frequency Response and \(H(z)\) from Difference Equation

poles zeros system function

9–875 Output via \(z\mbox{-}\)transform method

impulse response H(z)

9–876 Output Signal \(y[n]\) from FIR \(H(z)\) and Various Inputs

superposition impulse response sinusoidal reponse

9–877 Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Impulse Response \(h[n]\) Solution

cascade impulse system

9–878 Output Signal \(y[n]\) from FIR \(H(z)\) and Various Inputs Solution

superposition impulse response sinusoidal reponse

9–879 Difference Equation from \(H(z)\) ♦ Zeros & Poles Solution

Running sum z-plane

9–880 \(H(z)\) for FIR Filter ♦ Zeros ♦ Frequency Response Solution

difference filter frequency system

9–881 Difference Equation from \(H(z)\) ♦ Zeros & Poles ♦ Impulse Response \(h[n]\) Solution

difference impulse system

9–882 Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Difference Equation ♦ Impulse Response \(h[n]\) Solution

cascade difference impulse system

9–883 Pole-Zero Plot for \(H(z)\) ♦ Nulling Sinusoidal Inputs ♦ Length of FIR Filter Solution

difference exponential filter nulling system

9–884 Design FIR \(H(z)\) to Null Sinusoidal Inputs Sampled by C/D Solution

converter nulling sampling system

9–885 Difference Equation from \(H(z)\) ♦ Frequency Response ♦ Impulse Response \(h[n]\) Solution

difference frequency impulse system

9–886 Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane Solution

plot polynomial roots

9–887 Difference Equation from \(H(z)\) ♦ Frequency Response ♦ Sinusoidal Input Solution

difference frequency system

9–888 Difference Equation from \(H(z)\) ♦ Zeros & Poles Solution

difference period pole system zero

9–889 Difference Equation from \(H(z)\) ♦ Zeros ♦ Complex Exponential Inputs Solution

difference exponential system zero

9–890 Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\) Solution

difference impulse system

9–891 Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\) ♦ Step Response Solution

difference impulse step system

9–892 Digital Filtering of Continuous-Time Signals

LTI system C/D converter D/C converter H(z)

9–893 Sum of Signals through \(H(z)\)

superposition impulse response sinusoidal reponse

9–894 Difference Equation and \(H(z)\) for Cascaded Systems

poles zeros

9–895 Difference Equation for Cascade of 3 Systems

equivalent system

9–896 Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\) Solution

difference Dirac impulse system

9–897 Discrete-Time Filtering of a Continuous-Time Signal Solution

LTI FIR pole zero

9–898 Discrete-Time Filtering of a Continuous-Time Signal Solution

LTI FIR pole zero

9–899 Response of LTI System Function Solution

impulse response H(z) superposition sinusoid-in sinusoid-out

9–900 Discrete-Time Processing of Continuous-Time Signals Solution

C-to-D converter D-to-C converter H(z)

9.7–901 Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane Solution

complex plot polynomial roots

9.12–902 Cascade of Systems Solution

cascade difference frequency system

9.14–903 Response of Cascade Solution

cascade input LTI output

9.15–904 Filter plus A/D and D/A Solution

converter filter sampling system

9.16–905 Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Impulse Response \(h[n]\) Solution

cascade difference impulse system

10–906 Impulse response and \(H(z)\) for cascade

system function impulse response delta poles zeros

10–907 Matching \(H(z)\) with impulse response or difference equation

system function delta

10–908 Impulse response and \(H(z)\) for cascade

system function impulse response delta poles zeros

10–909 Matching \(H(z)\) with impulse response or difference equation

system function delta

10–910 Impulse response and \(H(z)\) for cascade Solution

system function impulse response delta poles zeros

10–911 Matching \(H(z)\) with impulse response or difference equation Solution

system function delta

10–912 Plot frequency response & pole-zero plot Solution

Dirichlet function z-plane

10–913 Matching impulse response or difference equation to frequency response Solution

delta

10–914 Plot frequency response & pole-zero plot

Dirichlet function z-plane

10–915 Matching impulse response or difference equation to frequency response

delta

10–916 Plot frequency response & pole-zero plot

Dirichlet function z-plane

10–917 Matching impulse response or difference equation to frequency response

delta

10–918 Various \(z\mbox{-}\)transforms Solution

delta unit step

10–919 Various inverse \(z\mbox{-}\)transforms Solution

rational function partial fraction expansion

10–920 Three-domain analysis for IIR system given \(H(z)\) Solution

impulse response frequency response poles zeros sinusoid-in sinusoid-out

10–921 Cascade of Two Discrete-Time Systems ♦ Find \(H(z)\) Solution

cascade FIR IIR impulse response

10–922 Match the Frequency Response with \(H(z)\) or the Difference Equation Solution

match H(z) frequency response difference equation

10–923 Cascade of Two Discrete-Time Systems ♦ Find \(H(z)\) Solution

cascade FIR IIR impulse response

10–924 Match the Frequency Response with \(H(z)\) or the Difference Equation Solution

match H(z) frequency response difference equation

10–925 Cascade of Two Discrete-Time Systems ♦ Find \(H(z)\) Solution

cascade FIR IIR impulse response

10–926 Match the Frequency Response with \(H(z)\) or the Difference Equation Solution

match H(z) frequency response difference equation

10–927 Cascade of Two Discrete-Time Systems ♦ Find \(H(z)\) Solution

cascade FIR IIR impulse response

10–928 Match the Frequency Response with \(H(z)\) or the Difference Equation Solution

match H(z) frequency response difference equation

10–929 Matching Pole-Zero Plots to Various \(H(z)\) and Difference Equations Solution

difference pole system zero

10–930 Matching Impulse Responses \(h[n]\) to Various \(H(z)\) and Difference Equations Solution

difference impulse system

10–931 Matching Frequency Responses to Various \(H(z)\) and Difference Equations Solution

difference frequency system

10–932 Difference Equation Derived from Block Diagram of IIR Filter Solution

block difference filter impulse MATLAB

10–933 Output Signal & Frequency Response for IIR Filter Defined by MATLAB Code Solution

filter frequency MATLAB time

10–934 Cascade of 3 LTI Systems ♦ \(H(z)\) Solution

cascade delay impulse LTI transfer

10–935 \(H(z)\) for All-Pass IIR Filter ♦ Poles & Zeros ♦ Frequency Response Solution

difference feedback frequency pole system zero

10–936 Difference Equation from Rational \(H(z)\) ♦ Zeros & Poles Solution

difference feedback filter frequency pole system zero

10–937 \(H(z)\) from IIR Difference Equation ♦ Frequency Response ♦ Poles & Zeros Solution

difference frequency pole system zero

10–938 Design IIR Filter \(H(z)\) to Synthesize \(y[n]\) Solution

feedback filter impulse order system

10–939 \(H(z)\) from IIR Difference Equation ♦ Poles & Zeros ♦ Output Signal Solution

difference feedback pole system zero

10–940 \(H(z)\) from IIR Difference Equation ♦ Poles & Zeros Solution

difference feedback filter pole system zero

10–941 \(H(z)\) from IIR Difference Equation ♦ Frequency Response ♦ Nulling Solution

difference frequency nulling system

10–942 Matching Impulse Responses \(h[n]\) to Various \(H(z)\) and Difference Equations Solution

difference impulse system

10–943 Matching Frequency Responses to Various \(H(z)\) and Difference Equations Solution

difference frequency system

10–944 Poles & Zeros from Difference Equation and \(H(z)\) Solution

difference pole system zero

10–945 Cascade of 3 LTI Systems ♦ \(H(z)\) ♦ Impulse Response Solution

cascade impulse LTI system transfer

10–946 Cascade of 2 Systems: FIR & IIR ♦ Impulse Response Solution

cascade filter impulse

10–947 Cascade of 2 Systems: FIR & IIR ♦ Poles & Zeros ♦ Complex Exponential Input Solution

cascade difference exponential frequency pole system zero

10–948 Cascade of 2 Systems: FIR & IIR ♦ \(H(z)\) ♦ Difference Equation Solution

cascade difference filter system

10–949 Output Signal & Frequency Response for IIR Filter from \(h[n]\) and \(x[n]\) Solution

filter frequency impulse output

10–950 \(H(z)\) from MATLAB Code for IIR Filter ♦ Block Diagram ♦ Impulse Response Solution

block filter impulse MATLAB system

10–951 Pole-Zero Plot Derived from Impulse Response and Frequency Response Solution

frequency impulse pole zero

10–952 Matching Impulse Response \(h[n]\) to \(H(z)\) or Difference Equation Solution

difference equation impulse system

10–953 Matching Frequency Response to \(H(z)\) or Difference Equation Solution

difference equation frequency system

10–954 Poles and Zeros of \(H(z)\) Solution

system function rational function

10–955 Output and Impulse Response for Feedback Filter

impulse response at rest IIR

10–956 Inverse \(z\mbox{-}\)Transform & Frequency Response from \(H(z)\)

impulse response frequency response z-transform

10–957 \(H(z)\) & Frequency Response from IIR Difference Equation

difference equation filter frequency system function poles zeros magnitude squared

10–958 Find Output via Inverse \(z\mbox{-}\)Transform of System Function

difference equation unit step H(z) nulling

10–959 Cascade of 3 LTI Systems ♦ \(H(z)\) ♦ Impulse Response

z-Transform

10–960 Match the Impulse Response with \(H(z)\) or the Difference Equation

10–961 Match the Frequency Response with \(H(z)\) or the Difference Equation

10–962 Pole-zero plot of system function Solution

Magnitude squared Frequency response H(z) difference equation

10–963 Output signal via \(z\mbox{-}\)transform method Solution

Partial fractions H(z) impulse response

10–964 Pole-zero plot of system function

Magnitude squared Frequency response H(z) difference equation

10–965 Output signal via \(z\mbox{-}\)transform method

Partial fractions H(z) impulse response

10–966 Pole-zero plot of system function

Magnitude squared Frequency response H(z) difference equation

10–967 Output signal via \(z\mbox{-}\)transform method

Partial fractions H(z) impulse response

10–968 Matching impulse responses Solution

difference equation H(z) IIR FIR

10–969 Matching frequency responses Solution

difference equation H(z) IIR FIR

10–970 3 Domains for IIR filter Solution

poles zeros impulse response magnitude squared frequency response z-plane

10–971 Matching impulse responses

difference equation H(z) IIR FIR

10–972 Matching frequency responses

difference equation H(z) IIR FIR

10–973 3 Domains for IIR filter

poles zeros impulse response magnitude squared frequency response z-plane

10–974 Matching impulse responses

difference equation H(z) IIR FIR

10–975 Matching frequency responses

difference equation H(z) IIR FIR

10–976 3 Domains for IIR filter

poles zeros impulse response magnitude squared frequency response z-plane

10–977 Matching poles and zeros from difference equation

IIR difference equation

10–978 Matching impulse responses

IIR FIR difference equation system function H(z)

10–979 Matching frequency responses

IIR FIR difference equation system function H(z)

10–980 Difference equation and poles and zeros from \(H(z)\) Solution

MATLAB frequency response z-plane system function

10–981 Impulse and Frequency response from \(H(z)\) Solution

inverse z-transform sinusoid-in sinusoid-out

10–982 Difference equation and poles and zeros from \(H(z)\) Solution

MATLAB frequency response z-plane system function

10–983 Impulse and Frequency response from \(H(z)\) Solution

inverse z-transform sinusoid-in sinusoid-out

10–984 Difference equation and poles and zeros from \(H(z)\) Solution

MATLAB frequency response z-plane system function

10–985 Impulse and Frequency response from \(H(z)\) Solution

inverse z-transform sinusoid-in sinusoid-out

10–986 Frequency Response from FIR Difference Equation or Impulse Response Solution

Frequency Response

10–987 Output From System Function or Difference Equation Solution

Frequency Response Output

10–988 Poles and Zeros of \(H(z)\) Solution

H(z) Poles Zeros

10–989 Frequency Response from FIR Difference Equation or Impulse Response Solution

Frequency Response

10–990 Output From System Function or Difference Equation Solution

Frequency Response Output

10–991 Poles and Zeros of \(H(z)\) Solution

H(z) Poles Zeros

10–992 Frequency Response from FIR Difference Equation or Impulse Response Solution

Frequency Response

10–993 Output From System Function or Difference Equation Solution

Frequency Response Output

10–994 Poles and Zeros of \(H(z)\) Solution

H(z) Poles Zeros

10–995 Compute the Output of an IIR System Solution

IIR System System Function Output

10–996 Match the Impulse Response with \(H(z)\) or the Difference Equation Solution

Match System Function Difference Equation

10–997 Match the Frequency Response with \(H(z)\) or the Difference Equation Solution

Match System Function Difference Equation Frequency Response

10–998 Cascade of Two Discrete-Time Systems ♦ Find \(H(z)\) Solution

cascade H(z)

10–999 Matching Frequency Responses of a Discrete-Time System to Other Descriptions Solution

Matching Frequency Response

10–1000 Matching Pole-Zero Plots to Other Descriptions of a System Solution

Poles Zeros H(z) Difference Equation

10–1001 Cascade of Two Discrete-Time Systems ♦ Find \(H(z)\) Solution

cascade H(z)

10–1002 Matching Frequency Responses of a Discrete-Time System to Other Descriptions Solution

Matching Frequency Response

10–1003 Matching Pole-Zero Plots to Other Descriptions of a System Solution

Poles Zeros H(z) Difference Equation

10–1004 Cascade of Two Discrete-Time Systems ♦ Find \(H(z)\) Solution

cascade H(z)

10–1005 Matching Frequency Responses of a Discrete-Time System to Other Descriptions Solution

Matching Frequency Response

10–1006 Matching Pole-Zero Plots to Other Descriptions of a System Solution

Poles Zeros H(z) Difference Equation

10–1007 \(z\mbox{-}\)Transform of IIR Solution

IIR z-transform

10–1008 Which Domain Should You Use to Solve a Given Problem? Solution

system function impulse response frequency response

10–1009 Match the Impulse Response with \(H(z)\) or the Difference Equation

system function impulse response frequency response

10–1010 Match the Frequency Response with \(H(z)\) or the Difference Equation

system function difference equation frequency response

10–1011 Matching pole-zero plots to systems Solution

frequency response FIR nulling

10–1012 Matching pole-zero plots to systems Solution

frequency response FIR nulling

10–1013 Matching pole-zero plots to systems Solution

frequency response FIR nulling

10–1014 \(z\mbox{-}\)Transforms in rational form Solution

IIR delta one-sided exponentials

10–1015 Poles & Zeros from Difference Equation and \(H(z)\) Solution

difference pole system zero

10–1016 Matching Impulse Responses \(h[n]\) to Various \(H(z)\) and Difference Equations Solution

difference impulse system

10–1017 Matching Frequency Responses to Various \(H(z)\) and Difference Equations Solution

difference frequency system

10–1018 Sinusoidal Equations for IIR Filter Solved via Phasors Solution

filter phasor rotating vector

10–1019 Cascade of 3 LTI Systems ♦ \(H(z)\) ♦ Impulse Response Solution

cascade Dirac impulse system

10–1020 Poles & Zeros from Difference Equation and \(H(z)\) Solution

difference pole system zero

10–1021 Matching Impulse Responses \(h[n]\) to Various \(H(z)\) and Difference Equations Solution

difference impulse system

10–1022 Matching Frequency Responses to Various \(H(z)\) and Difference Equations Solution

difference frequency system

10–1023 Cascade of 3 LTI Systems ♦ \(H(z)\) ♦ Impulse Response Solution

cascade impulse system transfer

10–1024 \(H(z)\) from IIR Difference Equation ♦ Frequency Response ♦ Poles & Zeros Solution

difference filter frequency system

10–1025 Difference Equation from \(H(z)\) ♦ Frequency Response ♦ Poles & Zeros Solution

difference filter frequency system

10–1026 \(H(z)\) for All-Pass IIR Filter ♦ Poles & Zeros ♦ Frequency Response Solution

difference feedback frequency system

10–1027 \(H(z)\) from IIR Difference Equation ♦ Impulse Response \(h[n]\) ♦ Poles & Zeros Solution

difference feedback impulse system

10–1028 Frequency Response for FIR and IIR Filters Solution

difference filter frequency

10–1029 Cascade of 3 LTI Systems ♦ \(H(z)\) ♦ Impulse Response Solution

cascade delay impulse system

10–1030 Output Signal given Frequency Response of IIR Filter and Input Spectrum Solution

feedback filter frequency spectrum

10–1031 Computing Frequency Response With MATLAB Solution

polar MATLAB

10–1032 Find Poles and Zeros From System Functions Solution

H(z)

10–1033 Match Frequency Response to Difference Equation or Impulse Response Solution

Dirichlet h[n]

10–1034 Match System Function or Difference Equation to Output Solution

H(z) h[n] firfilt

10–1035 Plot Output of IIR System Function Solution

impulse response z-Transform

10–1036 Cascade of 3 LTI Systems ♦ \(H(z)\) ♦ Impulse Response Solution

z-Transform

10–1037 Matching Impulse Response \(h[n]\) to \(H(z)\) or Difference Equation Solution

system function

10–1038 Matching Frequency Response to \(H(z)\) or Difference Equation Solution

system function

10–1039 Matching Impulse Responses Solution

Difference equation H(z)

10–1040 Matching Frequency Responses Solution

Difference equation H(z)

10–1041 Matching Pole-Zero Diagrams Solution

Difference equation Impulse Response

10–1042 \(H(z)\) from IIR Difference Equation ♦ Poles & Zeros ♦ Output Signal Solution

difference feedback filter pole system zero

10–1043 Design IIR Filter \(H(z)\) to Synthesize \(y[n]\) Solution

comb difference feedback system

10–1044 MATLAB Functions: filter( ) & freqz( ) use Filter Coefficients Solution

filter freqz MATLAB

10–1045 Output Signal for IIR Difference Equation ♦ Finite-Length Input Signal Solution

difference feedback pulse

10–1046 Difference Equation from Poles & Zeros of \(H(z)\) ♦ Impulse Response Solution

difference filter impulse system

10–1047 Output Signal for IIR Difference Equation ♦ Finite-Length Input Signal Solution

difference feedback period

10–1048 Frequency Response from Pole-Zero Plot Solution

z-plane frequency vector

10–1049 Matching Pole-Zero Plots to Various \(H(z)\) and Difference Equations Solution

difference pole system zero

10–1050 Matching Impulse Responses \(h[n]\) to Various \(H(z)\) and Difference Equations Solution

difference impulse system

10–1051 Matching Frequency Responses to Various \(H(z)\) and Difference Equations Solution

difference frequency system

10–1052 Design IIR Filter \(H(z)\) to Synthesize a Sinusoid ♦ D/C Reconstruction Solution

converter difference feedback filter reconstruction system

10–1053 Matching Pole-Zero Plots to Various \(H(z)\) and Difference Equations Solution

difference pole system zero

10–1054 Matching Impulse Responses \(h[n]\) to Various \(H(z)\) and Difference Equations Solution

difference impulse system

10–1055 Matching Frequency Responses to Various \(H(z)\) and Difference Equations Solution

difference frequency system

10–1056 Impulse Response & Poles of IIR Filter Defined by MATLAB ♦ D/C Conversion Solution

converter feedback filter impulse MATLAB

10–1057 Cascade of 3 LTI Systems ♦ \(H(z)\) ♦ Impulse Response Solution

cascade Dirac impulse system

10–1058 Difference Equation from \(H(z)\) ♦ Frequency Response Solution

difference filter frequency system

10–1059 \(H(z)\) from IIR Difference Equation ♦ Poles & Zeros ♦ Output Signal Solution

difference feedback impulse system

10–1060 Impulse Response of a 2nd-Order IIR Filter Solution

difference feedback frequency impulse roots

10–1061 \(H(z)\) from IIR Difference Equation ♦ Frequency Response ♦ Poles & Zeros Solution

difference frequency pole system zero

10–1062 Difference Equation from \(H(z)\) ♦ Frequency Response ♦ Poles & Zeros Solution

difference filter frequency pole system zero

10–1063 \(H(z)\) from IIR Difference Equation ♦ Poles & Zeros Solution

difference feedback pole system zero

10–1064 Output Signal & Frequency Response for IIR Filter Defined by MATLAB Code Solution

filter frequency MATLAB

10–1065 Cascade of 3 LTI Systems ♦ \(H(z)\) ♦ Impulse Response ♦ Difference Equation Solution

cascade difference impulse system

10–1066 Matching Frequency Responses to 2 Difference Equations Solution

difference frequency magnitude

10–1067 Difference Equation and \(H(z)\) from Block Diagram of IIR Filter Solution

block difference filter system

10–1068 \(H(z)\) from Difference Equation

poles zeros

10–1069 Match Frequency Responses to Difference Equations

10–1070 Difference Equation from Signal Flow Graph

H(z)

10–1071 \(H(z)\) from Difference Equation

frequency response poles zeros

10–1072 Damped Sinusoid Response of Second-Order Filter

impulse response difference equation

10–1073 Response of Recursive Difference Equation

H(z) poles IIR periodic

10–1074 \(H(z)\) for Recursive Difference Equation

poles

10–1075 Frequency Response and Difference Equation from \(H(z)\)

nulling sinusoidal response magnitude response

10–1076 Match Impulse Responses to \(H(z)\) and Difference Equations

FIR IIR

10–1077 Match Frequency Responses to \(H(z)\) and Difference Equations

magnitude FIR IIR

10–1078 Poles and Zeros from Difference Equations and \(H(z)\)

10–1079 Impulse Response and \(H(z)\) for cascade of 3 systems

numerator denominator

10–1080 Plot Output of IIR System Function Solution

impulse response z-Transform

10–1081 System Functions and Frequency Response Solution

H(z) FIR IIR deconvolution

10–1082 Matching Impulse Response \(h[n]\) to \(H(z)\) or Difference Equation Solution

difference equation impulse system

10–1083 Matching Frequency Response to \(H(z)\) or Difference Equation Solution

difference equation frequency system

10–1084 Matching Pole-Zero Plot to Difference Equation Solution

10–1085 Difference Equation of Two Cascaded Filters Solution

pole zero H(z)

10–1086 Matching Impulse Response \(h[n]\) to \(H(z)\) or Difference Equation Solution

difference equation impulse system

10–1087 Plot Output of IIR System Function Solution

impulse response z-Transform

10–1088 Matching Frequency Response to \(H(z)\) or Difference Equation Solution

difference equation frequency system

10–1089 Matching Pole-Zero Plot to Difference Equation Solution

10–1090 System Functions and Frequency Response Solution

H(z) FIR IIR deconvolution

10–1091 Difference Equation of Two Cascaded Filters Solution

pole zero H(z)

10–1092 Cascade of 3 LTI Systems ♦ \(H(z)\) ♦ Impulse Response Solution

z-Transform

10–1093 Matching Frequency Response to \(H(z)\) or Difference Equation Solution

difference equation frequency system