finished exercise except for some parts of number 1

Assignment2_211/assignment2_1.m

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+clear
+close all
+clc
+
+% x1[n], -5 <= n <= 10
+n1 = -5:10;
+x1 = -4*(n1 == -3) + 4*(n1 == 0) - (n1 == 3) + 2*(n1 == 7);
+
+% x2[n], -5 <= n <= 10
+n2 = -5:10;
+x2 = exp(-0.31*n2);
+
+% x3[n], 0 <= n <= 256
+n3 = 0:256;
+x3 = 3*sin(2*pi*(3.5/64)*n3);
+
+% x4[n], 0 <= n <= 256
+n4 = 0:256;
+x4 = -cos((9/64)*n4);
+
+
+% Visualization
+figure;
+subplot(121); hold on; grid on;
+stem(n1, x1);
+stem(n2, x2);
+xlabel('n');
+ylabel('x[n]');
+legend('x_1[n]', 'x_2[n]');
+
+subplot(122); hold on; grid on;
+plot(n3, x3);
+plot(n4, x4);
+xlabel('n');
+ylabel('x[n]');
+legend('x_3[n]', 'x_4[n]');
+
+% Custom power function
+function [ P ] = custom_power( x )
+    P = (1/length(x)) * sum(abs(x).^2);
+end
+
+% Calculate and display the power
+P3 = custom_power(x3);
+% Display the calculated powers
+disp(['Power of x_3[n]: ', num2str(P3)]);
+
+% Energy function
+function [ W ] = energy( x )
+    W = sum(abs(x).^2);
+end
+
+% Calculate and display the energy of each signal
+P1 = energy(x1);
+P2 = energy(x2);
+P3 = energy(x3);
+P4 = energy(x4);
+% Display the calculated powers
+disp(['Energy of x_1[n]: ', num2str(P1)]);
+disp(['Energy of x_2[n]: ', num2str(P2)]);
+disp(['Energy of x_3[n]: ', num2str(P3)]);
+disp(['Energy of x_4[n]: ', num2str(P4)]);