plot a complex sinusoidal function consisting of the sum of 5 sine waves with equal amplitudes

Compute and plot a complex sinusoidal function consisting of the sum of 5 sine waves with equal amplitudes but whose frequencies are 1,3,5,10, and 20, again for t varying from 0 to 2π.

[KSSV]

What have you attempted for your homework?

[Sahil Kolambkar]

Im not able to sum the sine waves.

[KSSV]

Show us your code.

Answer 1

[Prasanna Konyala]

Hi Sahil

From my understanding, you want to plot the sum of all 5 sinewaves with different frequencies.

Considering amplitude as 1, 100 time samples between 1 and 2*pi. Please go through the below code for a workaround.

[t,totalSum] = s_wave();
plot(t,totalSum);


% function to compute the sum
function [t,totalSum] = s_wave()
% 100 values between 1 and 2*pi
t = linspace(0, 2*pi);
totalSum=zeros(100);
frequency=[1,3,5,10,20];
for index = 1 : length(t)
    time = t(index);
    sineValues= sin(frequency*time);
    totalSum(index) = sum(sineValues);
end
end

Hope this helps.