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# Questions tagged [fourier-analysis]

Questions on the discrete and continuous Fourier analysis functions of Mathematica, as well as the FourierSeries` package.

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### Prevent running out of memory when doing SpectrogramArray?

I was using SpectrogramArray[Import@"myFile", 22050, 22050]to transfrom a piano mp3 file so that I can (probably?) generate a midi file from that mp3. The step size ...
479 views

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### Fourier-style solutions to differential equations, not piecewise polynomials

NDSolve returns piecewise polynomials. Is there any way I can get a single (non piecewise) function consisting of sines and cosines instead? Sort of a "Fourier approximation" to the solution of my ...
36 views

### Why I am not getting the same frequency when sampling a waveform? [duplicate]

I am trying to simulate the sampling of a waveform to then apply FFT Analysis to it. Here is the sample code I have now using a square wave: ...
30 views

### Result from FourierCosCoefficents does not appear to be linear [closed]

f3 and f4 below produce the same output (more or less) but the coefficient in f3 does not appear to be the sum of f2 and f1 (which it should, uiam).' ...
123 views

### Unable to get the correct Dirac delta Fourier transform [closed]

I wrote ω = 2 πf; τ = 1/f; FourierTransform[β*Cos[ωt], t, ω] I expected constant x DiracDelta(-omega1+omega)+constant x DiracDelta(omega1+omega) the answer ...