A. Write a matlab code to perform Fourier Series analysis of a given periodic ti

Question

A. Write a matlab code to perform Fourier Series analysis of a given periodic time domain signal. The inputs for the matlab function are: 1. time domain signal, 2. signal periodicity 3. number of freq domain harmonics considered. Apply your code to analyse sinusoidal a sinusoidal signal of your choice,present the graphs of the input and the frequency domain output (magnitude and present the graphs of the input and the frequency domain output ( magnitude and phase) B. Using g the applet in the website Chttp:/falstad.com/fourier) identify the gibbs phenomenon for atleast 2 type of input signals. Show atleast 3 cases of modifying the Fourier coefficients and explain how that effects the gibbs phenomenon.

Explanation / Answer

hello mate

there are multiple ways to answer this question . One simple way i'm suggesting here. You can try other methods also. (I'm considering that you already know the fouries series expansion and fouuries series coefficients formulas (an , bn , a0))

Matlab Code;

syms t n

T =4 ; %T = time period

w = 2*pi/T; % w = frequency

n = 1:7 % no. of harmonics

a0 = (1/T)*int (1,t,0,2)

an = (2/T)*int(1*cos(n*w*t),t,0,2)

bn = (2/T)*int(1*sin(n*w*t),t,0,2) ;

end

its only calculating the fourier series coefficients. Please let me know if any further clarification is required

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