Truncated Fourier series analysis in Matlab

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SUMMARY

The forum discussion focuses on creating a Matlab function for reconstructing signals using truncated Fourier series analysis. The function accepts Fourier series coefficients, a fundamental period T, and a time vector t, producing an output vector x of reconstructed signal values. The provided code snippet demonstrates the implementation but highlights potential issues with the imaginary unit 'i' and the constant 'pi' if not recognized by the language. Proper syntax and understanding of complex numbers in Matlab are essential for successful execution.

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d2009
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a) Write a Matlab function, which accepts the following inputs

-a finite set of Fourier series coefficients

-the fundamental period T of the signal to be reconstructed

-a vector t representing the times for which the signal will be reconstructed.

This function should produce an output x[t][/n]( should be a vector x with length equal to the length of t containing values of xn at the times indicated by t.

this is the code i have come up with so far.

function fourier1=f(a,T,t)
fourier1=zeros(length(a),1);
for n=1:length(a)
fourier1(n)=(a(n)*exp((i*(2*pi/T)*n*t)));
end;
 
Last edited:
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What language is that? Unless the language recognizes i as the imaginary operator, and "pi" as 3.14159, it won't work.
 

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