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% Program P5_3 % Illustration of the Aliasing Effect % in the Frequency-Domain clf; t = 0:0.005:10; xa = 2*t.*exp(-t); subplot(2,2,1) plot(t,xa);grid xlabel('Time, msec');ylabel('Amplitude'); title('

% Program P10_8 % Design of Uniform DFT Filter Banks clf; % Design the prototype FIR lowpass filter b = remez(20, [0 0.2 0.25 1], [1 1 0 0], [10 1]); w = 0:2*pi/255:2*pi; n = 0:20; for k = 1:4;

% Program P3_5 % Modulation Property of DTFT clf; w = -pi:2*pi/255:pi; x1 = [1 3 5 7 9 11 13 15 17]; x2 = [1 -1 1 -1 1 -1 1 -1 1]; y = x1.*x2; h1 = freqz(x1, 1, w); h2 = freqz(x2, 1, w); h3 =

% Program P3_4 % Convolution Property of DTFT clf; w = -pi:2*pi/255:pi; x1 = [1 3 5 7 9 11 13 15 17]; x2 = [1 -2 3 -2 1]; y = conv(x1,x2); h1 = freqz(x1, 1, w); h2 = freqz(x2, 1, w); hp = h1.

% Program P5_4 % Design of Analog Lowpass Filter clf; Fp = 3500;Fs = 4500; Wp = 2*pi*Fp; Ws = 2*pi*Fs; [N, Wn] = buttord(Wp, Ws, 0.5, 30,'s'); [b,a] = butter(N, Wn, 's'); wa = 0:(3*Ws)/511:3*W

% Program P5_3 % Illustration of the Aliasing Effect % in the Frequency-Domain clf; t = 0:0.005:10; xa = 2*t.*exp(-t); subplot(2,2,1) plot(t,xa);grid xlabel('Time, msec');ylabel('Amplitude');

% Program P10_8 % Design of Uniform DFT Filter Banks clf; % Design the prototype FIR lowpass filter b = remez(20, [0 0.2 0.25 1], [1 1 0 0], [10 1]); w = 0:2*pi/255:2*pi; n = 0:20; for k = 1:4; c =

% Program P3_5 % Modulation Property of DTFT clf; w = -pi:2*pi/255:pi; x1 = [1 3 5 7 9 11 13 15 17]; x2 = [1 -1 1 -1 1 -1 1 -1 1]; y = x1.*x2; h1 = freqz(x1, 1, w); h2 = freqz(x2, 1, w); h3 = freqz(y,

% Program P3_4 % Convolution Property of DTFT clf; w = -pi:2*pi/255:pi; x1 = [1 3 5 7 9 11 13 15 17]; x2 = [1 -2 3 -2 1]; y = conv(x1,x2); h1 = freqz(x1, 1, w); h2 = freqz(x2, 1, w); hp = h1.*h2; h3 =

% Program P5_4 % Design of Analog Lowpass Filter clf; Fp = 3500;Fs = 4500; Wp = 2*pi*Fp; Ws = 2*pi*Fs; [N, Wn] = buttord(Wp, Ws, 0.5, 30,'s'); [b,a] = butter(N, Wn, 's'); wa = 0:(3*Ws)/511:3*Ws; h =