5-1: Unit-step response of FIR system via convolution

  • 5–1
 

5-2: Length of Convolution

  • 5–2
 

5-3: Impulse response of cascaded LTI systems

  • 5–3
 

5-4: Difference equation and impulse response of cascaded LTI systems

  • 5–4
 

5-5: Block diagram of FIR system and output signal

  • 5–5
 

5-6: Output from FIR Filter for Finite-Length Input Signal; Impulse Response

  • 5–6
 

5-7: Output from FIR Filter for Complex Exponential Input Signal

  • 5–7
 

5-8: Running Average FIR Filter; Step Response

  • 5–8
 

5-9: Linearity & Time-Invariance Properties

  • 5–9
 

5-10: Difference Equation <--> Block Diagram of FIR Filter

  • 5–10
 

5-11: Plot Finite-Length Signal x[n] Defined by Shifted Impulses

  • 5–11
 

5-12: Difference Equation from Block Diagram of FIR Filter

  • 5–12
 

5-13: Linearity & Time-Invariance Used to Construct Output Signal

  • 5–13
 

5-14: Output from FIR Filter for Complex Exponential Input Signal

  • 5–14
 

5-15: Output of LTI System to u[n]

  • 5–15
 

5-16: Output of LTI System to Complex Exponentials

  • 5–16
 

5-17: Output from FIR Filter for Finite-Length Input Signal

  • 5–17
 

5-18: Draw Block Diagrams from FIR Difference Equation

  • 5–18
 

5-19: Determine the Duration of the Output of an FIR Filter

  • 5–19
 

5-20: Construct Output via Linearity and Time-Invariance

  • 5–20
 

5-21: Construct Output via Linearity and Time-Invariance

  • 5–21
 

5-22: Impulse response of cascade of two systems

  • 5–22
 

5-23: Properties of LTI systems

  • 5–23
 

5-24: Output signal using linearity & time-invariance

  • 5–24
 

5-25: Difference equation and H(z) from impulse response

  • 5–25
 

5-26: Difference equation and H(z) from impulse response

  • 5–26
 

5-27: Determine the Output of an FIR Filter for a Given Input

  • 5–27
 

5-28: Determine the Duration of the Output of an FIR Filter

  • 5–28
 

5-29: Cascade Connection of LTI Systems

  • 5–29
 

5-30: Find Outputs of an FIR Filter for Step and Cosine Inputs

  • 5–30
 

5-31: Find Outputs of an FIR Filter for Step and Cosine Inputs

  • 5–31
 

5-32: Find Outputs of an FIR Filter for Step and Cosine Inputs

  • 5–32
 

5-33: Using the Unit Step Sequence to Represent a Finite-Length Signal

  • 5–33
 

5-34: Determine the Duration of the Output of an FIR Filter

  • 5–34
 

5-35: Cascade Connection of LTI Systems

  • 5–35
 

5-36: Test for Linearity and Time-Invariance

  • 5–36
 

5-37: Unit step response of 3-point averager

  • 5–37
 

5-38: Nonzero region of FIR filter output

  • 5–38
 

5-39: Impulse response & difference equation of cascaded systems

  • 5–39
 

5-40: FIR filtering of signal defined by its spectrum

  • 5–40
 

5-41: Difference equation & block diagram from impulse response

  • 5–41
 

5-42: Output from convolution of impulse response & input pulse

  • 5–42
 

5-43: Difference equation & block diagram from impulse response

  • 5–43
 

5-44: Output from convolution of impulse response & input pulse

  • 5–44
 

5-45: Difference equation & block diagram from impulse response

  • 5–45
 

5-46: Output from convolution of impulse response & input pulse

  • 5–46
 

5-47: Linearity & Time-Invariance Used to Construct Output Signal

  • 5–47
 

5-48: Linearity & Time-Invariance Used to Construct Output Signal

  • 5–48
 

5-49: Output from FIR Filter for Finite-Length Input Signal

  • 5–49
 

5-50: Output from FIR Filter for Complex Exponential Input Signal

  • 5–50
 

5-51: Output from FIR Filter for Finite-Length Input Signal

  • 5–51
 

5-52: Impulse Response of FIR Filter; Complex Exponential Response

  • 5–52
 

5-53: Output of LTI System to Finite Length Complex Exponential

  • 5–53
 

5-54: Output from FIR Filter for Finite-Length Input Signal

  • 5–54
 

5-55: Construct Output via Linearity and Time-Invariance

  • 5–55
 

5-56: Matching Output Signal to h[n] or Difference Equation

  • 5–56
 

5-57: Output from FIR Filter for Complex Exponential Input Signal

  • 5–57
 

5-58: Linearity & Time-Invariance Used to Construct Output Signal

  • 5–58
 

5-59: Output from FIR Filter for Complex Exponential Input Signal

  • 5–59
 

5-60: Running Average FIR Filter; Step Response

  • 5–60
 

5-61: Output from FIR Filter for Finite-Length Input Signal

  • 5–61
 

5-62: Output from FIR Filter for Finite-Length Input Signal

  • 5–62
 

5-63: Output from FIR Filter for Finite-Length Input Signal

  • 5–63
 

5-64: Linearity & Time-Invariance Used to Construct Output Signal

  • 5–64
 

5-65: Output from FIR Filter for Complex Exponential Input Signal

  • 5–65
 

5-66: Linearity & Time-Invariance Used to Construct Output Signal

  • 5–66
 

5-67: Output from FIR Filter for Finite-Length Input Signal; Impulse Response

  • 5–67
 

5-68: Output of LTI System to u[n]

  • 5–68
 

5-69: Determine the Duration of the Output of an FIR Filter

  • 5–69
 

5-70: Construct Output via Linearity and Time-Invariance

  • 5–70
 

5-71: Find Output of FIR Filter Given Coefficients

  • 5–71
 

5-72: Construct Output via Linearity and Time-Invariance

  • 5–72
 

5-73: Output from FIR Filter for Finite-Length Input Signal

  • 5–73
 

5-74: Cascade of Two LTI Systems

  • 5–74