Converting f(x) to MATLAB Code for Fourier Series with n=500

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SUMMARY

The discussion focuses on converting the piecewise function f(x) defined for specific intervals into MATLAB code to compute its Fourier series representation with n=500 terms. The function is defined as f(x) = { x for 0 < x < π/2; x/2 for π/2 < x < π; π - (x/2) for π < x < 2π }. The user has successfully computed the Fourier series for n=2 but seeks assistance in extending this to n=500. The periodicity of the function is assumed to be π.

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  • Understanding of piecewise functions in mathematics
  • Familiarity with Fourier series concepts
  • Proficiency in MATLAB programming
  • Knowledge of MATLAB plotting functions
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This discussion is beneficial for mathematicians, engineers, and students who are working with Fourier series in MATLAB, particularly those looking to implement complex piecewise functions in their analyses.

zuelhuzz
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The problem are as below :-

f(x) = {
x, for 0 < x < pi/2;
x/2, for pi/2 < x < pi;
pi-(x/2), for pi < x < 2*pi;

how do I convert it to Matlab code and produce a graph of Fourier series with n=500?

I have done analytically by hand for n=2, but the question ask to produce n=500, can anybody help?
 
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I don't see any reason why that can't be integrated, "by hand", for any n. It doesn't look like the general n would be any harder than n= 1 or 2. Are we to assume this is periodic with period pi?
 

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