Square wave exponential fourier series

Funnynick · Mar 19, 2013

Plot of a square wave x(t) against t, alternating between levels A and -A, with period marked as T, half-period T/2 and labels -T, -T/2, T/2, T and 0 on the time axis, followed by a numbered problem list parts a to d.

Handwritten solution to a Fourier series problem: part a notes x(t) has symmetry about the vertical axis, and part b gives the piecewise definition x(t) = A on (-T/4, T/4), x(t) = -A on (T/4, 3T/4), the coefficient integral c_n, and the resulting series with c_0 = 1/2.

This is A and B my friend is telling me that Co is actually 0 and I am getting 1/2 and i don't see exactly what I am doing wrong if i indeed am doing something wrong hopefully someone here can check this out and let me know exactly where i went wrong..
Thanks

DrClaude · Mar 20, 2013

You wrote yourself that [itex]c_n = 0[/itex] when [itex]n[/itex] is even.

rude man · Mar 20, 2013

I can't get the second image to open.

Funnynick · Mar 20, 2013

Thanks for the reply, i figured out my mistake and redid the problem completely and found the correct answer.

Thanks

Square wave exponential fourier series

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