finished exercise

Assignment5_211/assignment5.2.m

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+clear; close all; clc;
+
+n = 0:599;   % 3 periods (3 × 200 samples)
+
+x = sin(2*pi*0.005*n) ...
+    + (1/3)*sin(2*pi*0.005*3*n) ...
+    + (1/5)*sin(2*pi*0.005*5*n) ...
+    + (1/7)*sin(2*pi*0.005*7*n);
+
+stem(n,x)
+grid on
+xlabel('n')
+ylabel('x[n]')
+title('Signal over 3 periods')
+
+load("Filter_coefficients.mat","-mat")
+
+y_FIR = filter(b1,a1,x);
+y_IIR = filter(b2,a2,x);
+
+figure
+
+plot(n,x,'y','LineWidth',1.5)
+hold on
+
+plot(n,y_FIR,'b')
+plot(n,y_IIR,'r')
+
+legend('Original','FIR','IIR')
+grid on
+title('Comparison of Signals')
+
+figure
+
+subplot(2,1,1)
+freqz(b1,a1)
+title('FIR Frequency Response')
+
+figure
+
+subplot(2,1,2)
+freqz(b2,a2)
+title('IIR Frequency Response')

Assignment5_211/assignment5.4.m

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+clear; close all; clc;
+% Define filter coefficients
+b0 = 1;
+
+b = b0 * [1 1 1 1];
+a = [1 -1.5 0.625];
+
+% Frequency response
+[H,w] = freqz(b,a,1024);
+
+% Magnitude and phase plots
+figure;
+
+subplot(2,1,1);
+plot(w/pi, 20*log10(abs(H)), 'LineWidth', 1.5);
+grid on;
+xlabel('Normalized Frequency (\times\pi rad/sample)');
+ylabel('Magnitude (dB)');
+title('Magnitude Response');
+
+subplot(2,1,2);
+plot(w/pi, unwrap(angle(H)), 'LineWidth', 1.5);
+grid on;
+xlabel('Normalized Frequency (\times\pi rad/sample)');
+ylabel('Phase (rad)');
+title('Phase Response');
+
+% Define filter coefficients
+b0 = 1;
+
+b = b0 * [1 1 1 1];
+a = [1 -1.5 0.625];
+
+% Generate impulse signal
+n = 0:50;
+x = [1 zeros(1,50)];
+
+% Compute impulse response
+h = filter(b,a,x);
+
+% Plot impulse response
+figure;
+stem(n,h,'filled');
+grid on;
+xlabel('n');
+ylabel('h[n]');
+title('Impulse Response (0 \leq n \leq 50)');