6-1: Output from FIR system given input spectrum

  • 6–1
 

6-2: Sinusoidal response of nonlinear system

  • 6–2
 

6-3: Matching frequency responses to FIR systems

  • 6–3
 

6-4: Sinusoidal response from FIR frequency response

  • 6–4
 

6-5: Matching frequency responses to FIR systems

  • 6–5
 

6-6: Sinusoidal response from FIR frequency response

  • 6–6
 

6-7: Matching frequency responses to FIR systems

  • 6–7
 

6-8: Sinusoidal response from FIR frequency response

  • 6–8
 

6-9: Frequency Response of an FIR Filter

  • 6–9
 

6-10: Cascade of FIR Filters

  • 6–10
 

6-11: Determine the Impulse Response and Frequency Response of an FIR Filter

  • 6–11
 

6-12: Frequency Response of an FIR Filter

  • 6–12
 

6-13: Cascade of FIR Filters

  • 6–13
 

6-14: Determine the Impulse Response and Frequency Response of an FIR Filter

  • 6–14
 

6-15: Frequency Response of an FIR Filter

  • 6–15
 

6-16: Cascade of FIR Filters

  • 6–16
 

6-17: Determine the Impulse Response and Frequency Response of an FIR Filter

  • 6–17
 

6-18: Frequency Response from FIR Difference Equation; Magnitude & Phase

  • 6–18
 

6-19: Frequency Response from FIR Difference Equation; Magnitude & Phase; h[n]

  • 6–19
 

6-20: Linearity & Time-Invariance Properties

  • 6–20
 

6-21: Frequency Response from FIR Difference Equation; Magnitude & Phase; h[n]

  • 6–21
 

6-22: Dirichlet (aliased sinc) Function Plot vs. Frequency

  • 6–22
 

6-23: Output Signal & Frequency Response for FIR Filter Defined by MATLAB Code

  • 6–23
 

6-24: Design FIR Low-Pass Averager to Null Sinusoidal Inputs Sampled by C/D

  • 6–24
 

6-25: Frequency Response from FIR Difference Equation

  • 6–25
 

6-26: Output of FIR Difference Equation

  • 6–26
 

6-27: Dirichlet (aliased sinc) Function Plot vs. Frequency

  • 6–27
 

6-28: Output of FIR Filter Given Input Spectrum Frequency Response

  • 6–28
 

6-29: Find Output of LTI Filter Given Frequency Response

  • 6–29
 

6-30: Filtering a Signal Given its Frequency Spectrum

  • 6–30
 

6-31: Linearity & Time-Invariance Properties to Construct Output

  • 6–31
 

6-32: Cascade of Two LTI Systems

  • 6–32
 

6-33: Find Impulse and Frequency Response of FIR Filter

  • 6–33
 

6-34: Find Output of FIR Filter for Step and Cosine Inputs

  • 6–34
 

6-35: Find Impulse and Frequency Response of FIR Filter

  • 6–35
 

6-36: Find Output of FIR Filter for Step and Cosine Inputs

  • 6–36
 

6-37: Output from FIR system given input spectrum

  • 6–37
 

6-38: Plot of Dirichlet function

  • 6–38
 

6-39: Output signal & difference equation from frequency response

  • 6–39
 

6-40: Sinusoidal response given frequency response

  • 6–40
 

6-41: Sinusoidal response given frequency response

  • 6–41
 

6-42: Cascade Connection of Three FIR Systems

  • 6–42
 

6-43: Match FIR Frequency Response to other Representations

  • 6–43
 

6-44: Determine the Impulse Response and Frequency Response of an FIR Filter

  • 6–44
 

6-45: Match FIR Frequency Response to other Representations

  • 6–45
 

6-46: Determine the Impulse Response and Frequency Response of an FIR Filter

  • 6–46
 

6-47: Match FIR Frequency Response to other Representations

  • 6–47
 

6-48: Determine the Impulse Response and Frequency Response of an FIR Filter

  • 6–48
 

6-49: Test for Linearity and Time-Invariance; Find the Output Due to Sum of Cosines

  • 6–49
 

6-50: Cascade Connection of LTI Systems; Frequency Response

  • 6–50
 

6-51: Determine the Impulse Response and Frequency Response of an FIR Filter

  • 6–51
 

6-52: Frequency Response of Cascade of FIR Filters

  • 6–52
 

6-53: Determine the Impulse Response and Frequency Response of an FIR Filter

  • 6–53
 

6-54: Frequency Response of Cascade of FIR Filters

  • 6–54
 

6-55: Determine the Impulse Response and Frequency Response of an FIR Filter

  • 6–55
 

6-56: Frequency Response of Cascade of FIR Filters

  • 6–56
 

6-57: Sinusoidal response of nonlinear system

  • 6–57
 

6-58: Frequency response of cascaded systems

  • 6–58
 

6-59: Impulse response from factored frequency response

  • 6–59
 

6-60: Frequency response and sinusoidal response

  • 6–60
 

6-61: Frequency response and sinusoidal response

  • 6–61
 

6-62: Frequency response and sinusoidal response

  • 6–62
 

6-63: Output Signal & Frequency Response for FIR Filter Defined by MATLAB Code

  • 6–63
 

6-64: Output Signal & Frequency Response for FIR Filter Defined by MATLAB Code

  • 6–64
 

6-65: Frequency Response from FIR Difference Equation; Magnitude & Phase; h[n]

  • 6–65
 

6-66: Frequency Response from FIR Difference Equation; Sinusoidal Response

  • 6–66
 

6-67: Frequency Response from FIR Difference Equation; h[n]; Convolution

  • 6–67
 

6-68: Output of Averaging Filter Given Input Spectrum

  • 6–68
 

6-69: Dirichlet (aliased sinc) Function Plot vs. Frequency

  • 6–69
 

6-70: Discrete-Time Processing of Continuous-Time Signals

  • 6–70
 

6-71: Filtering Sinusoids Using MATLAB

  • 6–71
 

6-72: Match Frequency Response to Difference Equation or Impulse Response

  • 6–72
 

6-73: Sampling Theorem & Frequency Response

  • 6–73
 

6-74: Output and Frequency Response of FIR Filter

  • 6–74
 

6-75: Matching Frequency Responses

  • 6–75
 

6-76: Frequency Response of FIR Filter

  • 6–76
 

6-77: Dirichlet (aliased sinc) Function Plot vs. Frequency

  • 6–77
 

6-78: Frequency Response of L-point Running Average FIR Filter

  • 6–78
 

6-79: Output from FIR Filter for Sinusoidal Input Signal

  • 6–79
 

6-80: Frequency Response from FIR Difference Equation; Magnitude & Phase

  • 6–80
 

6-81: Filter Characteristics Derived from MATLAB Plot of Output Signal

  • 6–81
 

6-82: Cascade of 2 FIR Filters; Multiplying Frequency Responses

  • 6–82
 

6-83: Dirichlet (aliased sinc) Function Plot vs. Frequency

  • 6–83
 

6-84: Linearity & Time-Invariance Properties

  • 6–84
 

6-85: Frequency Response from FIR Difference Equation; Magnitude & Phase

  • 6–85
 

6-86: Output Signal when given Input Spectrum and FIR Frequency Response

  • 6–86
 

6-87: Frequency Response for Digital Filter defined by MATLAB

  • 6–87
 

6-88: Digital Spectrum through Frequency Response

  • 6–88
 

6-89: Frequency Response from FIR Difference Equation; h[n]; Sinusoidal Response

  • 6–89
 

6-90: Frequency Response from FIR Difference Equation; Magnitude & Phase; h[n]

  • 6–90
 

6-91: Frequency Response from FIR Difference Equation; Sinusoidal Response

  • 6–91
 

6-92: Plot Dirichlet Function

  • 6–92
 

6-93: FIR Difference Equation from Frequency Response; Complex Exponential Input

  • 6–93
 

6-94: Cascade of 2 FIR Filters; Multiplying Frequency Responses

  • 6–94
 

6-95: Frequency Response from FIR Difference Equation; Magnitude & Phase

  • 6–95
 

6-96: FIR Difference Equation from Frequency Response; Response for Input Spectrum

  • 6–96
 

6-97: Output from FIR Filter for Sinusoidal Input Signal

  • 6–97
 

6-98: FIR Filters And Sinusoids Using MATLAB

  • 6–98
 

6-99: FIR Filters And Sinusoids Using MATLAB

  • 6–99
 

6-100: Output of FIR Difference Equation

  • 6–100
 

6-101: Filtering a Signal Given its Frequency Spectrum

  • 6–101
 

6-102: Cascade of Two LTI Systems

  • 6–102
 

6-103: Discrete-Time Processing of Continuous-Time Signals

  • 6–103
 

6-104: Find Impulse and Frequency Response of FIR Filter

  • 6–104
 
 

6-106: Find Impulse and Frequency Response of FIR Filter

  • 6–106