Question

1. Create the following signals, f1, f2 in time domain.
t = 0 to 1 second.
f1(t) = 8 sin (2 *pi*80*t);
f2(t) = 4 cos (2*pi*240*t)
Define any assumptions you make to generate the signals.

2. Plot the two graphs as sub plots with appropriate lables in x axis (time), y
axis, title etc.
3. Generate the following signal
f3 = f1 + f2;
4. Plot as sub plot in (2).

5. Compute the fourier transform of this signal, cannot use the built-in
MATLAB function. Implement your own FT function. (You will have to refer to FT theory)

6. Plot the magnitude and phase response. (Again read up the formula to compute this).

Answer 1

`Hey,

Note: Brother if you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

clc
clear all
close all
format long
t=0:0.01:1;
y1=8*sin (2 *pi*80*t);
y2=4*cos (2*pi*240*t);
subplot(3,1,1)
plot(t,y1);
xlabel('Time');
ylabel('f1(t)');
title('Plot of f1(t)');
subplot(3,1,2)
plot(t,y2);
xlabel('Time');
ylabel('f2(t)');
title('Plot of f2(t)');
y3=y1+y2;
subplot(3,1,3)
plot(t,y3);
xlabel('Time');
ylabel('f3(t)');
title('Plot of f3(t)');

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