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Question: Fourier series representation of discontinuities

Question:Fourier series representation of discontinuities

tsunamiBTP 292 Maple
fitting convergence fourier triangle
December 01 2017
0

I have experimental data that in some respect can be modelled by an asymmetric triangle function.  In the link below is my worsheet examining the effect of making the asymmetric triangle symmetric.  The frequency content, 2*pi*k/T, for both triangles is still the same.  Of course the Fourier coefficients will be different, but it appears the convergence is superior for the symmetric triangle.

I could do this with my experimental data by mirroring it about t=0.  Is this a mistake?  If I can do the symmetric case I think I can fit the data with much fewer terms.  If anyone has experience on these matters I would appreciated your comments.

discontinuty_Fourier_representation.mw
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