Test Of Digital Signal Processing 1
Give the answer of the following problems as possible in English.
1. Supposing when and .Plea give its ZT , DTFTand N-point DFT .Explain the relations among the three transforms .
2.A real 8-point quence .Its 8-point DFT is X[k].
(1) Supposing.Sketch .
(2) Determine the value of .
3. A quence has the 128-point DFT. Give the expression of .
4. A causal LTI discrete-time system has the transfer function
.
(1) Determine the difference equation of the system.
(2) Give the pole-zero plot and the ROC of the system.2012年12月四级作文
(3) Is this system stable?
(4) Develop a realization of the system in any canonic form.
5. Design a FIR linear pha causal LPF which has cutoff frequency , transition bandwidth and minimum stopband attenuation .Develop the impul respon in clod form by Windowed Fourier Series method.
6.If you u following MATLAB program to design a lowpass filter ,which has the specifications:passband edge 800Hz ,stopband edge 1kHz, passband ripple 0.5dB, mini
munstopband attenuation 40dB ,and sampling rate is 5kHz.What data should you input to the computer?
上海市燎原实验学校% Program For Elliptic IIR Lowpass Filter Design
%
Wp = input('Normalized passband edge = ');
Ws = input('Normalized stopband edge = ');
howfar
Rp = input('Passband ripple in dB = ');
Rs = input('Minimum stopband attenuation in dB = ');
[N,Wn] = ellipord(Wp,Ws,Rp,Rs)
[b,a] = ellip(N,Wn);
[h,omega] = freqz(b,a,256);
2016高考真题plot (omega/pi,20*log10(abs(h)));grid;
xlabel('\omega/\pi'); ylabel('Gain, dB');toro
title('IIR Elliptic Lowpass Filter');
7. In the system of Figure (a), has a bandlimited spectrum as sketched in Figure (b) and is being sampled at the Nyquist rate. The digital ideal LPF has the frequency respon as shown in Figure (c) .Sketch the spectrum ,and of ,and respectively.
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Test Of Digital Signal Processing2
Give the answer of the following problems in English as possible as you can.
1. Determine the fundamental period of quence .
2. Consider the z - transform .
(1) (1) Give the pole-zero plot of .
(2) (2) Determine all possible ROCs of . Discuss the type of inver z -transform (left-sided, right-sided, or two-sided quences) associated with each of the ROCs .
(3) (3) Give the expression of right-sided quence.
3. A real 8-point quence .Its 8-point DFT is X[k].
(1) Determine the values of ,.
(2) (2) Supposing.Sketch .
(3) (3) Determine the value of .
4. Let ={1 2 1 1},and ={1 1 1},.
国庆短信(1) (1) Sketch the linear convolution .资源环境科学
(2) (2) denote the N-point circular convolution .Determine the values of ,. Explain which value is equal to the value of.
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Digital Signal Processing3
Note: Give the answer of the following problems as possible in English.
1.（20 points）A length-8 quence is given by . Plea give its expressions of ZT , DTFTand 8-point DFT in clod-form.
2.（20 points）Consider a length-8 real quence, defined for , with 8-point DFT ,.
(1) Calculate the following values of without computing the DFT itlf:
(a) , (b) , (c) .
(2) Sketch the quence who 8-point DFT is given by .
3. (18points) A causal LTI discrete-time system has the difference equation .
(4) (1) Determine the transfer function of the system.
(5) (2) Give the pole-zero plot of the system.
(6) (3) Determine the impul respon of the system.
4. (15 points) The frequency respon of a linear pha FIR filter is given by .
(1) (1) Determine and sketch the impul respon of the filter.
(2) (2) Which type is this linear pha FIR filter?
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5. (15 points) Using bilinear method , design a digital 2nd-order Butterworth lowpass filter which has the cut-off frequency .
(1) (1) Give the transfer function of the designed filter.
(2) (2) Develop a realization structure of the designed filter in cannonic form.
Note: The transfer function of analog 2nd-order Butterworth lowpass filter with 3-dB cut-off frequency is .
6. (12 points) Let be an order-63 FIR filter, and be a length-64 quence. The input-output relationship of the filter is shown as following figure.
Plea write a MATLAB program to compute by FFT , plot the magnitude and pha spectrum of .
5. 5. A quencehas DTFT shown as following figure. Sketch DTFTof
. If and ,where and .Give the expression between and .
Test Of Digital Signal Processing4
（Give the answer of the following problems in English as possible as you can）
