Question

Program in any language. I need help I have no idea how to do this!

(1) Write a program to combine 2 (two) waves with different frequencies (fm and fc) using AM (Amplitude Modulation) technique: y(t) = [1 + m cos(2 π fn t) ] A sin(2 π ) where fm is the modulated frequency, fc is the carrier frequency, A- Amplitude, m- index of modulation, t time and 3.14159265359 (A) Plot y(t) in time domain t = 0 to t = 2 with increment 0.05. Use the following parameters: A-, fc 4Hz, fm-1 Hz, m 0.75 (B) Plot y() in time domain 0 to t-2 with increment 0.05. Use the following parameters: A-, fc-4 Hz, fm 1 Hz, m-0.4 (C) Plot y(t) in time domaint-0 to 2 with increment 0.05. Use the following parameters: A-,fc-4 Hz, f Hz, m 0.1

Answer 1

This problem can be solved in matlab or R. I am prviding solution for Matlab.

Thanks.

A)

Program:

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t = [0 : 0.05: 2];
m=0.75;
fm=1;
A=1;
fc=4;
y=(1+ m .* cos(2 .*pi .*fm .*t)) .* A .* sin(2 .*pi .*fc .*t);

plot(t,y)

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Explaination

1) t = [0 : 0.05: 2]; --->defining time range from 0 to 2 with increment of 0.05

2) below line declare variables

m=0.75;
fm=1;
A=1;

fc=4;

3 )below is your formula here for multiplication we used .* instead of just *

y=(1+ m .* cos(2 .*pi .*fm .*t)) .* A .* sin(2 .*pi .*fc .*t);

4) Plot(t,y) plots y with respect to t

Similar approach is followed for other parts

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A) Output

B)

t = [0 : 0.05: 2];
m=0.4;
fm=1;
A=1;
fc=4;
y=(1+ m .* cos(2 .*pi .*fm .*t)) .* A .* sin(2 .*pi .*fc .*t);

plot(t,y)

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Output B

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C)

t = [0 : 0.05: 2];
m=0.1;
fm=1;
A=1;
fc=4;
y=(1+ m .* cos(2 .*pi .*fm .*t)) .* A .* sin(2 .*pi .*fc .*t);

plot(t,y)

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Output C

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