6–1  Output from FIR system given input spectrum 

  • 6–1
 

6–2  Sinusoidal response of nonlinear system  Solution  

  • 6–2
 

6–3  Matching frequency responses to FIR systems  Solution  

  • 6–3
 

6–4  Sinusoidal response from FIR frequency response  Solution  

  • 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  Solution  

  • 6–9
 

6–10  Cascade of FIR Filters  Solution  

  • 6–10
 

6–11  Determine the Impulse Response and Frequency Response of an FIR Filter  Solution  

  • 6–11
 

6–12  Frequency Response of an FIR Filter  Solution  

  • 6–12
 

6–13  Cascade of FIR Filters  Solution  

  • 6–13
 

6–14  Determine the Impulse Response and Frequency Response of an FIR Filter  Solution  

  • 6–14
 

6–15  Frequency Response of an FIR Filter  Solution  

  • 6–15
 

6–16  Cascade of FIR Filters  Solution  

  • 6–16
 

6–17  Determine the Impulse Response and Frequency Response of an FIR Filter  Solution  

  • 6–17
 

6–18  Frequency Response from FIR Difference Equation ♦ Magnitude & Phase  Solution  

  • 6–18
 

6–19  Frequency Response from FIR Difference Equation ♦ Magnitude & Phase ♦ \(h[n]\)  Solution  

  • 6–19
 

6–20  Linearity & Time-Invariance Properties  Solution  

  • 6–20
 

6–21  Frequency Response from FIR Difference Equation ♦ Magnitude & Phase ♦ \(h[n]\)  Solution  

  • 6–21
 

6–22  Dirichlet (aliased sinc) Function Plot vs. Frequency  Solution  

  • 6–22
 

6–23  Output Signal & Frequency Response for FIR Filter Defined by MATLAB Code  Solution  

  • 6–23
 

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

  • 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  Solution  

  • 6–33
 

6–34  Find Output of FIR Filter for Step and Cosine Inputs  Solution  

  • 6–34
 

6–35  Find Impulse and Frequency Response of FIR Filter  Solution  

  • 6–35
 

6–36  Find Output of FIR Filter for Step and Cosine Inputs  Solution  

  • 6–36
 

6–37  Output from FIR system given input spectrum  Solution  

  • 6–37
 

6–38  Plot of Dirichlet function  Solution  

  • 6–38
 

6–39  Output signal & difference equation from frequency response  Solution  

  • 6–39
 

6–40  Sinusoidal response given frequency response  Solution  

  • 6–40
 

6–41  Sinusoidal response given frequency response  Solution  

  • 6–41
 

6–42  Cascade Connection of Three FIR Systems  Solution  

  • 6–42
 

6–43  Match FIR Frequency Response to other Representations  Solution  

  • 6–43
 

6–44  Determine the Impulse Response and Frequency Response of an FIR Filter  Solution  

  • 6–44
 

6–45  Match FIR Frequency Response to other Representations  Solution  

  • 6–45
 

6–46  Determine the Impulse Response and Frequency Response of an FIR Filter  Solution  

  • 6–46
 

6–47  Match FIR Frequency Response to other Representations  Solution  

  • 6–47
 

6–48  Determine the Impulse Response and Frequency Response of an FIR Filter  Solution  

  • 6–48
 

6–49  Test for Linearity and Time-Invariance ♦ Find the Output Due to Sum of Cosines  Solution  

  • 6–49
 

6–50  Cascade Connection of LTI Systems ♦ Frequency Response  Solution  

  • 6–50
 

6–51  Determine the Impulse Response and Frequency Response of an FIR Filter  Solution  

  • 6–51
 

6–52  Frequency Response of Cascade of FIR Filters  Solution  

  • 6–52
 

6–53  Determine the Impulse Response and Frequency Response of an FIR Filter  Solution  

  • 6–53
 

6–54  Frequency Response of Cascade of FIR Filters  Solution  

  • 6–54
 

6–55  Determine the Impulse Response and Frequency Response of an FIR Filter  Solution  

  • 6–55
 

6–56  Frequency Response of Cascade of FIR Filters  Solution  

  • 6–56
 

6–57  Sinusoidal response of nonlinear system 

  • 6–57
 

6–58  Frequency response of cascaded systems  Solution  

  • 6–58
 

6–59  Impulse response from factored frequency response  Solution  

  • 6–59
 

6–60  Frequency response and sinusoidal response  Solution  

  • 6–60
 

6–61  Frequency response and sinusoidal response  Solution  

  • 6–61
 

6–62  Frequency response and sinusoidal response  Solution  

  • 6–62
 

6–63  Output Signal & Frequency Response for FIR Filter Defined by MATLAB Code  Solution  

  • 6–63
 

6–64  Output Signal & Frequency Response for FIR Filter Defined by MATLAB Code  Solution  

  • 6–64
 

6–65  Frequency Response from FIR Difference Equation ♦ Magnitude & Phase ♦ \(h[n]\)  Solution  

  • 6–65
 

6–66  Frequency Response from FIR Difference Equation ♦ Sinusoidal Response  Solution  

  • 6–66
 

6–67  Frequency Response from FIR Difference Equation ♦ \(h[n]\) ♦ Convolution  Solution  

  • 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  Solution  

  • 6–72
 

6–73  Sampling Theorem & Frequency Response  Solution  

  • 6–73
 

6–74  Output and Frequency Response of FIR Filter  Solution  

  • 6–74
 

6–75  Matching Frequency Responses  Solution  

  • 6–75
 

6–76  Frequency Response of FIR Filter  Solution  

  • 6–76
 

6–77  Dirichlet (aliased sinc) Function Plot vs. Frequency  Solution  

  • 6–77
 

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

  • 6–78
 

6–79  Output from FIR Filter for Sinusoidal Input Signal  Solution  

  • 6–79
 

6–80  Frequency Response from FIR Difference Equation ♦ Magnitude & Phase  Solution  

  • 6–80
 

6–81  Filter Characteristics Derived from MATLAB Plot of Output Signal  Solution  

  • 6–81
 

6–82  Cascade of 2 FIR Filters ♦ Multiplying Frequency Responses  Solution  

  • 6–82
 

6–83  Dirichlet (aliased sinc) Function Plot vs. Frequency  Solution  

  • 6–83
 

6–84  Linearity & Time-Invariance Properties  Solution  

  • 6–84
 

6–85  Frequency Response from FIR Difference Equation ♦ Magnitude & Phase  Solution  

  • 6–85
 

6–86  Output Signal when given Input Spectrum and FIR Frequency Response  Solution  

  • 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  Solution  

  • 6–89
 

6–90  Frequency Response from FIR Difference Equation ♦ Magnitude & Phase ♦ \(h[n]\)  Solution  

  • 6–90
 

6–91  Frequency Response from FIR Difference Equation ♦ Sinusoidal Response  Solution  

  • 6–91
 

6–92  Plot Dirichlet Function 

  • 6–92
 

6–93  FIR Difference Equation from Frequency Response ♦ Complex Exponential Input  Solution  

  • 6–93
 

6–94  Cascade of 2 FIR Filters ♦ Multiplying Frequency Responses  Solution  

  • 6–94
 

6–95  Frequency Response from FIR Difference Equation ♦ Magnitude & Phase  Solution  

  • 6–95
 

6–96  FIR Difference Equation from Frequency Response ♦ Response for Input Spectrum  Solution  

  • 6–96
 

6–97  Output from FIR Filter for Sinusoidal Input Signal  Solution  

  • 6–97
 

6–98  FIR Filters And Sinusoids Using MATLAB  Solution  

  • 6–98
 

6–99  FIR Filters And Sinusoids Using MATLAB  Solution  

  • 6–99
 

6–100  Output of FIR Difference Equation  Solution  

  • 6–100
 

6–101  Filtering a Signal Given its Frequency Spectrum  Solution  

  • 6–101
 

6–102  Cascade of Two LTI Systems  Solution  

  • 6–102
 

6–103  Discrete-Time Processing of Continuous-Time Signals  Solution  

  • 6–103
 

6–104  Find Impulse and Frequency Response of FIR Filter  Solution  

  • 6–104
 
 

6–106  Find Impulse and Frequency Response of FIR Filter  Solution  

  • 6–106
 

6.1–107  Dirichlet (aliased sinc) Function Plot vs. Frequency  Solution  

  • 6–107
 

6.9–108  Linearity & Time-Invariance Properties  Solution  

  • 6–108