3-1: Spectrum representation of sum of cosines

  • 3–1
 

3-2: Spectrum representation of AM radio signal

  • 3–2
 

3-3: Spectrum of sinusoid plus DC

  • 3–3
 

3-4: Matching instantaneous frequency to sinusoids

  • 3–4
 
 

3-6: Spectrum values from time-domain plot

  • 3–6
 

3-7: Sum of sinusoids from spectrum

  • 3–7
 

3-8: Symmetry in the spectrum

  • 3–8
 

3-9: Spectrum values from time-domain plot

  • 3–9
 

3-10: Sum of sinusoids from spectrum

  • 3–10
 

3-11: Symmetry in the spectrum

  • 3–11
 

3-12: Spectrum values from time-domain plot

  • 3–12
 

3-13: Sum of sinusoids from spectrum

  • 3–13
 

3-14: Symmetry in the spectrum

  • 3–14
 

3-15: Spectrum values from time-domain plot

  • 3–15
 

3-16: Sum of sinusoids from spectrum

  • 3–16
 

3-17: Symmetry in the spectrum

  • 3–17
 

3-18: Spectrum values from time-domain plot

  • 3–18
 

3-19: Sum of sinusoids from spectrum

  • 3–19
 

3-20: Fourier series coefficients of sum of sinusoids

  • 3–20
 

3-21: Fourier series coefficients of sum of sinusoids

  • 3–21
 

3-22: Fourier series coefficients of sum of sinusoids

  • 3–22
 

3-23: Determine Signal from Incomplete Spectrum Plot

  • 3–23
 

3-24: Spectrum of AM Modulated Signal

  • 3–24
 

3-25: Determine Signal from Incomplete Spectrum Plot

  • 3–25
 

3-26: Spectrum of AM Modulated Signal

  • 3–26
 

3-27: Determine Signal from Incomplete Spectrum Plot

  • 3–27
 

3-28: Spectrum of AM Modulated Signal

  • 3–28
 

3-29: Determine Signal from Incomplete Spectrum Plot

  • 3–29
 

3-30: Spectrum of AM Modulated Signal

  • 3–30
 

3-31: Determine Signal from Incomplete Spectrum Plot

  • 3–31
 

3-32: Spectrum of AM Modulated Signal

  • 3–32
 

3-33: Determine Signal from Incomplete Spectrum Plot

  • 3–33
 

3-34: Spectrum of AM Modulated Signal

  • 3–34
 

3-35: Determine Fourier Series for a Sum of Cosine Signals

  • 3–35
 

3-36: Determine Fourier Series for a Sum of Cosine Signals

  • 3–36
 

3-37: Determine Fourier Series for a Sum of Cosine Signals

  • 3–37
 

3-38: Spectrum --> Sinusoids; Period

  • 3–38
 

3-39: Spectrum for Sine Cubed; Fundamental Period

  • 3–39
 

3-40: Sinusoids Defined by MATLAB -->Spectrum

  • 3–40
 

3-41: Spectrum --> Complex Exponentials; Period

  • 3–41
 

3-42: Spectrum --> sum of sinusoids

  • 3–42
 

3-43: Plot an Amplitude Modulated Signal

  • 3–43
 

3-44: Compute Frequencies of Notes in the C-Major Scale

  • 3–44
 

3-45: Spectrum of a Sum of Cosine Signals

  • 3–45
 

3-46: Multiplication of Two Sinusoids

  • 3–46
 

3-47: Fourier Series Analysis of a Periodic Square Wave

  • 3–47
 

3-48: Instantaneous Frequency of a Chirp Signal

  • 3–48
 

3-49: Features of Pure Sinusoids

  • 3–49
 

3-50: Match Spectrum to Periodic Waveforms

  • 3–50
 

3-51: Features of Pure Sinusoids

  • 3–51
 

3-52: Match Spectrum to Periodic Waveforms

  • 3–52
 

3-53: Write signal from a spectrum

  • 3–53
 

3-54: Spectrum representation of AM radio signal

  • 3–54
 

3-55: Matching spectrum and periodic signals

  • 3–55
 

3-56: Spectrum of sinusoid plus DC

  • 3–56
 

3-57: Frequencies of musical notes

  • 3–57
 

3-58: Matching instantaneous frequency to sinusoids

  • 3–58
 

3-59: Spectrum of sum of sinusoids

  • 3–59
 

3-60: Fourier Series Integral for Specific Signal

  • 3–60
 

3-61: Fourier Series Integral for Specific Signal

  • 3–61
 

3-62: Fourier Series Integral for Specific Signal

  • 3–62
 

3-63: DC Component of a Sum of Cosines

  • 3–63
 

3-64: Beat Notes

  • 3–64
 

3-65: Match the Waveform with its Spectrum

  • 3–65
 

3-66: Compute the Frequencies of the Notes of the C-Major Scale

  • 3–66
 

3-67: Spectrum of a Periodic Signal from the Fourier Series

  • 3–67
 

3-68: Compute the DC Component of a Periodic Signal

  • 3–68
 

3-69: Compute the Fourier Series Coefficients for a Periodic Pulse Signal

  • 3–69
 

3-70: Determine the Instantaneous Frequency of a Chirp Signal

  • 3–70
 

3-71: Determine a Chirp Signal given the Instantaneous Frequency

  • 3–71
 

3-72: Match Spectrum to Sinusoidal Waveforms

  • 3–72
 

3-73: Match Spectrum to Sinusoidal Waveforms

  • 3–73
 

3-74: Match Spectrum to Sinusoidal Waveforms

  • 3–74
 

3-75: Evaluate Fourier Series Integral for a Specific Signal

  • 3–75
 

3-76: Evaluate Fourier Series Integral for a Specific Signal

  • 3–76
 

3-77: Evaluate Fourier Series Integral for a Specific Signal

  • 3–77
 

3-78: Spectrum of a Sum of Cosine Signals

  • 3–78
 

3-79: DC Component of a Sum of Cosines

  • 3–79
 

3-80: Express the Square of a Sinusoid as a Sum of Complex Exponentials

  • 3–80
 

3-81: Spectrum of a Sum of Cosine Signals

  • 3–81
 

3-82: Compute the Frequencies of the Notes of the C-Major Scale

  • 3–82
 

3-83: Determine the Instantaneous Frequency of a Chirp Signal

  • 3–83
 

3-84: Determine the Fourier Series of a Product of Sinusoids

  • 3–84
 

3-85: Fourier Series Integral for Specific Signal

  • 3–85
 

3-86: Spectrum of a Sum of Cosine Signals

  • 3–86
 

3-87: Spectrum of a Sum of Cosine Signals

  • 3–87
 

3-88: Spectrum of a Sum of Cosine Signals

  • 3–88
 

3-89: Evaluate Fourier Series Integral for a Specific Signal

  • 3–89
 

3-90: Evaluate Fourier Series Integral for a Specific Signal

  • 3–90
 

3-91: Evaluate Fourier Series Integral for a Specific Signal

  • 3–91
 

3-92: Fourier series coefficients for sum of sinusoids

  • 3–92
 

3-93: Fourier series coefficients for sum of sinusoids

  • 3–93
 

3-94: Fourier series coefficients for sum of sinusoids

  • 3–94
 

3-95: Write sum of sinusoids from spectrum information

  • 3–95
 

3-96: Spectrum of cosine squared

  • 3–96
 

3-97: Spectrum of sinusoid plus DC

  • 3–97
 

3-98: Write sum of sinusoids from spectrum information

  • 3–98
 

3-99: Add sinusoid to an existing spectrum

  • 3–99
 

3-100: Frequencies of musical notes

  • 3–100
 

3-101: Matching spectra to periodic signals

  • 3–101
 

3-102: Instantaneous frequency of chirp signals

  • 3–102
 

3-103: Plot periodic x(t) defined by Fourier integral

  • 3–103
 

3-104: Derivative and time-shift of Fourier series representation

  • 3–104
 

3-105: Sum of sinusoids from two-sided spectrum plot

  • 3–105
 

3-106: Spectrum for product of sinusoids

  • 3–106
 

3-107: Sum of sinusoids from two-sided spectrum plot

  • 3–107
 

3-108: Spectrum for product of sinusoids

  • 3–108
 

3-109: Sum of sinusoids from two-sided spectrum plot

  • 3–109
 

3-110: Spectrum for product of sinusoids

  • 3–110
 

3-111: Fourier series and spectrum

  • 3–111
 

3-112: Fourier series and spectrum

  • 3–112
 

3-113: Fourier series and spectrum

  • 3–113
 

3-114: Spectrum of (sin)(sin) Defined by MATLAB Code

  • 3–114
 

3-115: Spectrum of (sin)+(sin) Defined by MATLAB Code

  • 3–115
 

3-116: Sinusoids --> Spectrum; Period

  • 3–116
 

3-117: Spectrum of (cos)(sin) Defined by MATLAB Code

  • 3–117
 

3-118: Instantaneous Frequency of a Linear-FM (Chirp) Signal

  • 3–118
 

3-119: Instantaneous Frequency of a Linear-FM (Chirp) Signal

  • 3–119
 

3-120: Sinusoids and Complex Numbers

  • 3–120
 

3-121: Spectrum of a Sum of Cosine Signals

  • 3–121
 

3-122: Spectrum of AM Signal

  • 3–122
 

3-123: Spectrum of Signal Composed of Sinusoids

  • 3–123
 

3-124: Fourier Series Analysis and Spectrum of a Periodic Square Wave

  • 3–124
 

3-125: Match Spectrum to Periodic Waveforms

  • 3–125
 

3-126: Compute Frequencies of Notes in the C-Major Scale

  • 3–126
 

3-127: Plot Spectrum of Summed Sinusoids Using MATLAB

  • 3–127
 

3-128: Instantaneous Frequency of a Chirp Signal

  • 3–128
 

3-129: Match Spectrum to Periodic Waveforms

  • 3–129
 

3-130: Match Spectrum to Periodic Waveforms

  • 3–130
 

3-131: Symmetry of the Spectrum

  • 3–131
 

3-132: Relate Time Shift to Phase of a Sinusoid

  • 3–132
 

3-133: Fourier Integral & DC Value of Periodic Signal

  • 3–133
 

3-134: Instantaneous Frequency of a Linear-FM (Chirp) Signal

  • 3–134
 

3-135: Instantaneous Frequency of a Linear-FM (Chirp) Signal

  • 3–135
 

3-136: Sinusoids --> Spectrum; Period

  • 3–136
 

3-137: Instantaneous Frequency of a Linear-FM (Chirp) Signal

  • 3–137
 

3-138: Spectrum --> Sinusoids; Fundamental Frequency and Period

  • 3–138
 

3-139: Spectrum for Sine Cubed

  • 3–139
 

3-140: Spectrum for AM Signal

  • 3–140
 

3-141: Spectrum for AM Signal

  • 3–141
 

3-142: Spectrum --> Complex Exponentials; Period

  • 3–142
 

3-143: Spectrum of (cos)(cos) Defined by MATLAB Code

  • 3–143
 

3-144: Piano Frequencies

  • 3–144
 

3-145: Match Chirp to Sinusoids

  • 3–145
 

3-146: Spectrum of a Sum of Cosine Signals

  • 3–146
 

3-147: Spectrum of Product of 2 Sinusoids

  • 3–147
 

3-148: Match Spectrum to Periodic Waveforms

  • 3–148
 

3-149: Compute Frequencies of Notes in the C-Major Scale

  • 3–149
 

3-150: Instantaneous Frequency of a Chirp Signal

  • 3–150
 

3-151: Spectrum of Real-Valued Signal

  • 3–151
 

3-152: Features of Sinusoids

  • 3–152
 

3-153: Spectrum of Real-Valued Signal

  • 3–153
 

3-154: Features of Sinusoids

  • 3–154