Task 1
Complex Numbers in matlab
%Lab 5 Task 1 close all clear clc j=sqrt(-1); x=5+3j; y=6-2j; z=x+2*y; %Decomposing the real and imaginary part of a complex number disp(real(z)); disp(imag(z)); %Finding polar form of a complex number.\ disp(abs(z)); disp(angle(z));
Task 2
Real and Imaginary Components of complex numbers.
%Lab 5 Task 2
close all
clear
clc
j=sqrt(-1);
theta=-2*pi:0.1:2*pi;
x=exp(j*theta);
figure
plot(theta,real(x))
xlabel('theta')
ylabel('Real part of e^i ^t^h^e^t^a')
figure
plot(theta,imag(x))
xlabel('theta')
ylabel('Imaginary part of e^i ^t^h^e^t^a')
Task 3
Convolution Using Built-in function
%Lab 5 Task 2
close all
clear
clc
h=[0 0 1 1 1 0 0];
x=[0 0 0.5 2 0 0 0 ];
y=conv(x,h);
figure
subplot 311
stem(x)
ylabel('x')
subplot 312
stem(h)
ylabel('h')
subplot 313
stem(y)
ylabel('x*h')
Task 4
Convolution without built-in function
To be done by students
Task 5
Fourier series: Lathi Example 3.3
To be done by students
Task 6
Fourier Series of a square pulse
To be done by students