數(shù)字信號處理試卷試題及答案

數(shù)字信號處理試卷試題及答案,數(shù)字信號,處理,試卷,試題,答案,謎底 Examination Questions on “Digital Signal Processing”(120 minutes)No. 1 2 3 4 5 6 7 TotalScore1. Let x(n)={1,-2,4,6,-5,8,10}, n=-4:2; [12 points](a). Determine the odd part and the even part of x(n).(b). Calculate y(n)=2x(n-2)+ x(n+1)x(n)- x(-2-n)(c). Write a MATLAB program to generate the sequence of y(n) in (b).2. Given sequence x(n)={4,2,1,0,1,2,4} with sample period Ts=0.001sec. [25 pints](a). Determine the expression X(ejω)= DTFT[x(n)], discuss the periodicity of X(ejω).(b). Write a MATLAB program for plotting magnitude and phase response of X(ejω), where ω is evenly separated into 1000 points between [0,π] radius. (You needn’t plot it)(c). Guess and make comments on the property of its angle plot. Why?(d). Determine the corresponding analog frequency of the digital frequencyω=0.3π, and ω=1.3π.(e). Comment on the difference of amplitude and magnitude responses. 3. Given a system described by the following difference equation: [18 points])1()2(9.0)1(.)( ????nxnyynDetermine:(a). The system function H(z) and its zero-pole plot.(b). The region of convergence and its impulse response sequence h(n) if the given system is a causal system.(c). The region of convergence and its impulse response sequence h(n) if the given system is a stable system.4. Compute the N-point circular convolution for the following sequences: [20 points](a). x1(n)={1,2,3,4}, x2(n)={5,6,7}, N=4;(b). Calculate the same circular convolution for N=7;(c). Determine the minimum N when circular convolution equal to linear convolution.(d). Write a MATLAB program to calculate the circular convolution using the DFT.(e). Comments on the difference among the DTFT, the DFT and the FFT.5. For the digital filter structures, [10 points](a). Please explain the advantages of the direct form II over the direct form I for the IIR filter.(b). Please explain the advantage of the linear-phase form for the FIR filter.(c). Draw the linear-phase form of the given system function65432125)( ??????zzzzH6. Design a bandpass FIR filter using the window design technique. [10 points]The specifications are given as follows:lower stopband edge: 0.2π, As = 60dBlower passband edge: 0.3π, Rp = 0.5dBupper passband edge: 0.6π, Rp = 0.5dBupper stopband edge: 0.7π, As = 60dB(a). Select the proper window function;(b). Give the main design steps;(c). How to verify the actual ripple is indeed within the given tolerance? Please list the corresponding MATLAB program statements.7. Give the basic steps to design a digital highpass IIR filter from the given specifications of . [5 points]spsAR,,?(END)