Wireless and cellular telecommunications

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Wireless and cellular telecommunications

1. Unit Ramp Signal: r(t) = t·u(t)

clc;

clear all;

close all;

t = -2:0.01:3;          % Time vector

u = t >= 0;             % Unit step signal

r = t .* u;             % Unit ramp signal

subplot(2,1,1);

plot(t, r, 'b', 'LineWidth', 2);

title('Unit Ramp Signal - Plot');

xlabel('Time (t)');

ylabel('r(t)');

grid on;

subplot(2,1,2);

stem(t, r, 'r', 'filled');

title('Unit Ramp Signal - Stem');

xlabel('Time (t)');

ylabel('r(t)');

grid on;

2. Shifted Ramp Signal: r(t − 2) = (t − 2)·u(t − 2)

clc;

clear all;

close all;

t = -2:0.01:6;

r = (t - 2) .* (t >= 2);   % Shifted unit ramp

plot(t, r, 'm', 'LineWidth', 2);

title('Shifted Ramp Signal: r(t - 2)');

xlabel('Time (t)');

ylabel('r(t - 2)');

grid on;

3. Custom Signal: r(t) = u(t) − 2·u(t + 1)

clc;

clear all;

close all;

t = -5:0.01:5;

u1 = heaviside(t);         % u(t)

u2 = 2 * heaviside(t + 1); % 2·u(t+1)

r = u1 - u2;               % Resulting signal

plot(t, r, 'k', 'LineWidth', 2);

title('r(t) = u(t) - 2·u(t + 1)');

xlabel('Time (t)');

ylabel('Amplitude');

grid on;

4. Constant Signal: x(t) = 1 for t ≤ 2

clc;

clear all;

close all;

t = -1:0.01:4;

x = t <= 2;

plot(t, x, 'g', 'LineWidth', 2);

title('Signal x(t) = 1 for t ≤ 2');

xlabel('Time (t)');

ylabel('x(t)');

axis([-1 4 -0.2 1.2]);

grid on;