📄 p2_3.m
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% Program P2_3% Generate the input sequencesclf;n = 0:40;a = 2;b = -3;x1 = cos(2*pi*0.1*n);x2 = cos(2*pi*0.4*n);x = a*x1 + b*x2;num = [2.2403 2.4908 2.2403];den = [1 -0.4 0.75];ic = [0 0]; % Set zero initial conditionsy1 = filter(num,den,x1,ic); % Compute the output y1[n]y2 = filter(num,den,x2,ic); % Compute the output y2[n]y = filter(num,den,x,ic); % Compute the output y[n]yt = a*y1 + b*y2; d = y - yt; % Compute the difference output d[n]% Plot the outputs and the difference signalsubplot(3,1,1)stem(n,y);ylabel('Amplitude');title('Output Due to Weighted Input: a \cdot x_{1}[n] + b \cdot x_{2}[n]');subplot(3,1,2)stem(n,yt);ylabel('Amplitude');title('Weighted Output: a \cdot y_{1}[n] + b \cdot y_{2}[n]');subplot(3,1,3)stem(n,d);xlabel('Time index n');ylabel('Amplitude');title('Difference Signal');
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