This function approximates a square wave by swimming a series of sinusoidal func

Question

This function approximates a square wave by swimming a series of sinusoidal functions of various frequencies and amplitudes. X_square (t) = sigma^infinity_k=1 sin(omega t(2k - 1))/2k - 1 In MATLAB write a function that allows the user to choose the number of terms used to approximate the square wave, i.e. input the value of k. Your function should plot the resulting square wave, show the value used for k in the title (dynamic), and plot the FFT all on the same page. Label the square wave and FFT plots. SET omega = 1 in the equation for this exercise. Additional low level plot commands you may need: xlabel('Time period') % label the x-axis with "Time period" ylabel('Amplitude') % label the y-axis with "Amplitude" title ('sine wave') %title the plot with "sine wave"

Explanation / Answer

Matlab codes

Clc;

Clear all;

w=1;

t=linspace(0,1,10000);

k=('input value of k':);

sum=0;

For i=1:k

x=sum+sum(sin(w*t*(2*i-1))/(2*i-1));

i=i+1;

sum=x;

End

plot(t,x);

xlabel('Time Period');

ylabel('Amplitude');

title('Sine Wave');

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