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数字信号处理试卷试题及答案,数字信号,处理,试卷,试题,答案,谜底

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Examination A on “Digital Signal Processing”1. Let x(n)=3,7,-2,-1,5,-8,n=0:5;7(a). Determine the sequences x1(n)=x(n+2) and x2(n)=x(n-1)(b). calculate y(n)=2x(n+2)+x(n-1)(c). Write a MATLAB program to generate the sequence of (b).2. Given sequence x(n)=4,3,2,0,2,3,4 with sample period Ts=0.1sec. 15(a). Determine the expression X(ej)= DTFTx(n), discuss the periodicity of X(ej).(b). Write a MATLAB program for plotting magnitude and angle response of X(ej), where is evenly separated into 100 points between 0, radius. (You neednt plot it)(c). Guess and make comments on the property of its angle plot.(d). Comment on the difference of amplitude and magnitude response. Give the function name in the textbook that can determine the amplitude response.3. Given the system function of a stable discrete system in z-transform: 12 H(z)= (1+z-1)/(1+0.5 z-1-0.24z-2)Determine: (a). Its zero-pole plot. (b). Its difference equation representation. (c). Its impulse response sequence h(n) using partial fraction representation, give the first 5 points.(d). Give two MATLAB statements that can calculate the first 5 points of impulse response.4. Compute the N-point circular convolution for the following sequences: 10(a). x1(n)=1,-1,1,-1, x2(n)=2,1,1,2, N=4;(b).Calculate the same circular convolution for N=8;(c) Determine the minimum N when circular convolution equal to linear convolution(d). Write a MATLAB program to calculate the circular convolution using DFT.5. A linear time-invariant system is given by the function:8(a). Draw the flowgraph of the direct structure form.(b). Draw the flowgraph of the linear-phase form, explain its advantage.6. Design a bandpass FIR filter using the window design technique. 15The specifications are;lower stopband edge: 0.2upper stopband edge: 0.6lower passband edge: 0.3upper passband edge: 0.5As = 50dB, Rp=0.5dB(a). Select the proper window