9–1  Impulse and step response for cascaded FIR systems  Solution  

  • 9–1
 

9–2  Impulse and step response for cascaded FIR systems 

  • 9–2
 

9–3  Impulse and step response for cascaded FIR systems 

  • 9–3
 

9–4  Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\)  Solution  

  • 9–4
 

9–5  Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Zeros ♦ Difference Equation  Solution  

  • 9–5
 

9–6  Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane  Solution  

  • 9–6
 

9–7  Output Signal \(y[n]\) from FIR \(H(z)\) and Sinusoidal Input Signal \(x[n]\)  Solution  

  • 9–7
 

9–8  Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Zeros ♦ Difference Equation  Solution  

  • 9–8
 

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

  • 9–9
 

9–10  Output Signal \(y[n]\) from FIR \(H(z)\) and Sinusoidal Input Signal \(x[n]\)  Solution  

  • 9–10
 

9–11  \(H(z)\) for FIR Filter ♦ Zeros ♦ Frequency Response ♦ Impulse Response \(h[n]\)  Solution  

  • 9–11
 

9–12  Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Difference Equation ♦ Impulse Response \(h[n]\)  Solution  

  • 9–12
 

9–13  Pole-Zero Plot for \(H(z)\) ♦ Nulling Sinusoidal Inputs ♦ Sketch Frequency Response  Solution  

  • 9–13
 

9–14  System Functions and Frequency Response  Solution  

  • 9–14
 

9–15  Discrete-Time Filtering of a Continuous-Time Signal  Solution  

  • 9–15
 

9–16  FIR Difference Equation from System Function 

  • 9–16
 

9–17  \(H(z)\) and output signal for FIR Filter 

  • 9–17
 

9–18  Compute \(z\mbox{-}\)Transforms of shifted impulses 

  • 9–18
 

9–19  Filtering Sinusoids Using MATLAB 

  • 9–19
 

9–20  Find Ouput of LTI System Function 

  • 9–20
 

9–21  \(H(z)\) and Difference Equation for Cascade of 3 FIR Systems 

  • 9–21
 

9–22  Discrete-Time Processing of Continuous-Time Signals 

  • 9–22
 

9–23  Different descriptions of an FIR system  Solution  

  • 9–23
 

9–24  3 domains from MATLAB code  Solution  

  • 9–24
 

9–25  \(H(z)\) for cascaded systems  Solution  

  • 9–25
 

9–26  \(H(z)\) for cascaded systems  Solution  

  • 9–26
 

9–27  Find the System Function \(H(z)\) Given Other System Descriptions  Solution  

  • 9–27
 

9–28  Analyze a System Defined by a MATLAB Program 

  • 9–28
 

9–29  Find Outputs of an FIR Filter Defined by a Factored System Function  Solution  

  • 9–29
 

9–30  Deconvolution in cascade of systems  Solution  

  • 9–30
 

9–31  Frequency response & \(H(z)\) from MATLAB code  Solution  

  • 9–31
 
 

9–33  Impulse response and \(H(z)\) for parallel connection  Solution  

  • 9–33
 

9–34  Impulse response and \(H(z)\) for parallel connection  Solution  

  • 9–34
 

9–35  Impulse response and \(H(z)\) for parallel connection  Solution  

  • 9–35
 

9–36  \(H(z)\) for FIR Filter ♦ Zeros ♦ Frequency Response ♦ Sinusoidal Input  Solution  

  • 9–36
 

9–37  Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\)  Solution  

  • 9–37
 

9–38  Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\) ♦ Step Response  Solution  

  • 9–38
 

9–39  \(H(z)\) Factored into Cascade of 2 FIR Systems  Solution  

  • 9–39
 

9–40  \(H(z)\) and Difference Equation from Block Diagram for FIR Filter  Solution  

  • 9–40
 

9–41  \(H(z)\) and Difference Equation from Block Diagram for FIR Filter  Solution  

  • 9–41
 

9–42  Frequency Response from Pole-Zero Plot  Solution  

  • 9–42
 

9–43  Discrete-Time Filtering of a Continuous-Time Signal  Solution  

  • 9–43
 

9–44  Cascade of 3 LTI Systems 

  • 9–44
 

9–45  Ouput of LTI System Function via \(z\mbox{-}\)Transforms 

  • 9–45
 

9–46  Discrete-Time Processing of Continuous-Time Signals  Solution  

  • 9–46
 

9–47  Cascade FIR Systems  Solution  

  • 9–47
 

9–48  Discrete-Time Filtering of Continuous-Time Signals  Solution  

  • 9–48
 

9–49  Zeros of Cascaded FIR Systems  Solution  

  • 9–49
 

9–50  Frequency Response from \(H(z)\) ♦ Nulling ♦ Sinusoidal Input  Solution  

  • 9–50
 

9–51  Output Signal \(y[n]\) from FIR \(H(z)\) and Complex Exponential Input \(x[n]\)  Solution  

  • 9–51
 

9–52  Difference Equation from \(H(z)\) ♦ Frequency Response  Solution  

  • 9–52
 

9–53  Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane  Solution  

  • 9–53
 

9–54  Output Signal \(y[n]\) from FIR \(H(z)\) and Periodic Input Signal \(x[n]\)  Solution  

  • 9–54
 

9–55  \(H(z)\) for FIR Filter ♦ Zeros ♦ Complex Exponential Inputs  Solution  

  • 9–55
 

9–56  Cascade of 3 FIR Systems: Obtain Overall Difference Equation  Solution  

  • 9–56
 

9–57  Output Signal \(y[n]\) from FIR \(H(z)\) and Complex Exponential Input \(x[n]\)  Solution  

  • 9–57
 

9–58  Frequency Response and \(H(z)\) from Difference Equation 

  • 9–58
 

9–59  Output via \(z\mbox{-}\)transform method 

  • 9–59
 

9–60  Output Signal \(y[n]\) from FIR \(H(z)\) and Various Inputs 

  • 9–60
 

9–61  Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Impulse Response \(h[n]\)  Solution  

  • 9–61
 

9–62  Output Signal \(y[n]\) from FIR \(H(z)\) and Various Inputs  Solution  

  • 9–62
 

9–63  Difference Equation from \(H(z)\) ♦ Zeros & Poles  Solution  

  • 9–63
 

9–64  \(H(z)\) for FIR Filter ♦ Zeros ♦ Frequency Response  Solution  

  • 9–64
 

9–65  Difference Equation from \(H(z)\) ♦ Zeros & Poles ♦ Impulse Response \(h[n]\)  Solution  

  • 9–65
 

9–66  Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Difference Equation ♦ Impulse Response \(h[n]\)  Solution  

  • 9–66
 

9–67  Pole-Zero Plot for \(H(z)\) ♦ Nulling Sinusoidal Inputs ♦ Length of FIR Filter  Solution  

  • 9–67
 

9–68  Design FIR \(H(z)\) to Null Sinusoidal Inputs Sampled by C/D  Solution  

  • 9–68
 

9–69  Difference Equation from \(H(z)\) ♦ Frequency Response ♦ Impulse Response \(h[n]\)  Solution  

  • 9–69
 

9–70  Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane  Solution  

  • 9–70
 

9–71  Difference Equation from \(H(z)\) ♦ Frequency Response ♦ Sinusoidal Input  Solution  

  • 9–71
 

9–72  Difference Equation from \(H(z)\) ♦ Zeros & Poles  Solution  

  • 9–72
 

9–73  Difference Equation from \(H(z)\) ♦ Zeros ♦ Complex Exponential Inputs  Solution  

  • 9–73
 

9–74  Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\)  Solution  

  • 9–74
 

9–75  Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\) ♦ Step Response  Solution  

  • 9–75
 

9–76  Digital Filtering of Continuous-Time Signals 

  • 9–76
 

9–77  Sum of Signals through \(H(z)\) 

  • 9–77
 

9–78  Difference Equation and \(H(z)\) for Cascaded Systems 

  • 9–78
 

9–79  Difference Equation for Cascade of 3 Systems 

  • 9–79
 

9–80  Difference Equation from \(H(z)\) ♦ Impulse Response \(h[n]\)  Solution  

  • 9–80
 

9–81  Discrete-Time Filtering of a Continuous-Time Signal  Solution  

  • 9–81
 

9–82  Discrete-Time Filtering of a Continuous-Time Signal  Solution  

  • 9–82
 

9–83  Response of LTI System Function  Solution  

  • 9–83
 

9–84  Discrete-Time Processing of Continuous-Time Signals  Solution  

  • 9–84
 

9.7–85  Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane  Solution  

  • 9–85
 

9.12–86  Cascade of Systems  Solution  

  • 9–86
 

9.14–87  Response of Cascade  Solution  

  • 9–87
 

9.15–88  Filter plus A/D and D/A  Solution  

  • 9–88
 

9.16–89  Cascade of 2 FIR Systems ♦ \(H(z)\) ♦ Impulse Response \(h[n]\)  Solution  

  • 9–89