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(ej)= DTFTx(n), discuss the periodicity of X(ej).(b). Write a MATLAB program for plotting magnitude and phase response of X(ej), where is evenly separated into 1000 points between 0, radius. (You neednt plot it)(c). Guess and make comments on the property of its angle plot. Why?(d). Determine the corresponding analog frequency of the digital frequency=0.3, and =1.3.(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 pointsThe specifications are given as follows:lower stopband edge: 0.2, As = 60dBlower passband edge: 0.3, Rp = 0.5dBupper passband edge: 0.6, Rp = 0.5dBupper stopband edge: 0.7, 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 pointsspsAR,(END)