Generation of Continuous time signals
% Continuous time Unit step signal
t=-6:0.1:6;x1=1;x2=0;
u=x1.*(t>=0)+x2.*(t~=0);
subplot(2,2,1);
plot(t,u);
xlabel('t');
ylabel('u(t)');
title('Unit Step Signal')
% Continuous time Unit ramp signal
x1=t;
r=x1.*(t>=0)+x2.*(t~=0);
subplot(2,2,2);
plot(t,r);
xlabel('t');
ylabel('r(t)');
title('Unit ramp Signal');
% Continuous time Cosine signal
F=0.5;
c=cos(2*pi*F*t);
subplot(2,2,3);
plot(t,c);
xlabel('t');
ylabel('c(t)');
title('Cosine Signal');
Generation of discrete time signals
% Discrete time Unit step signal
t=-5:0.5:5;
x1=1;
x2=0;
u=x1.*(t>=0)+x2.*(t~=0);
subplot(2,2,1);
stem(t,u);
xlabel('t');
ylabel('u(t)');
title('Unit Step Signal');
% Discrete time Unit ramp signal
x1=t;
r=x1.*(t>=0)+x2.*(t~=0);
subplot(2,2,2);
stem(t,r);
xlabel('t');
ylabel('r(t)');
title('Unit ramp Signal');
% Discrete time Cosine signal
F=0.5
t=-2:0.1:2;
c=cos(2*pi*F*t);
subplot(2,2,3);
stem(t,c);
xlabel('t');
ylabel('c(t)');
title('Cosine Signal');
Basic operations on signals
% Time shifting operation
clc
clear all
close all
t=-20:0.001:20;
x1=1;
x2=0;
u=x1.*(t>=0&t<2)+x2.*(t<0&t>2);
subplot(3,1,1)
% Plot of Input Signal;
plot(t,u,'Linewidth',3);
axis([-20 20 0 2])
xlabel('t');
ylabel('u(t)');
title('input signal u(t)');
subplot(3,1,2)
% Plot of delayed Signal;
title('u(t-5)');
plot(t-5,u,'Linewidth',3);
axis([-20 20 0 2])
xlabel('t');
ylabel('u(t-5)');
title('time delayed signal u(t-5)');
subplot(3,1,3)
% Plot of advanced Signal;
title('u(t+5)');
plot(t+5,u,'Linewidth',3);
axis([-20 20 0 2])
xlabel('t');
ylabel('u(t+5)');
title('time advanced signal u(t+5)');
% Amplitude scaling operation
clc
clear all
close all
t=-20:0.001:20;
x1=1;
x2=0;
u=x1.*(t>=0&t<2)+x2.*(t<0&t>2); % Plot of Input Signal;
subplot(2,1,1)
plot(t,u,'Linewidth',3);
axis([-10 10 0 5])
xlabel('t');
ylabel('Amplitude');
title('input signal u(t)');
subplot(2,1,2)
% Plot of Amplitude shifted Signal;
plot(t,u+2,'Linewidth',3);
axis([-10 10 0 5])
xlabel('t');
ylabel('Amplitude');
title('Amplitude shifted signal');
%Time Reversal operation
clc
clear all
close all
t=-20:0.001:20;
x1=1;
x2=0;
u=x1.*(t>=0&t<4)+x2.*(t<0&t>4); % Plot of Input Signal;
subplot(2,1,1)
plot(t,u,'Linewidth',3);
axis([-10 10 0 5])
xlabel('t');
ylabel('Amplitude');
title('input signal u(t)');
subplot(2,1,2) % Plot of time reversed Signal;
plot(-t,u,'Linewidth',3);
axis([-10 10 0 5])
xlabel('t');
ylabel('Amplitude');
title('Time folded signal u(-t)');
