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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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### How to deal with highly oscillatory integrand when using “NIntegrate” and have a precise result

FTw][n_][w_]:=NIntegrate[ax[n][1][t]/.sol2]Exp[i w1 t],{t,0,600}] Plot[Abs[FTw[1][w1]],{w,1,3}] Here I'd like to calculate the Fourier transform of a complicated ...
217 views

### Discrete fourier transform vs analytical fourier transform [duplicate]

I have a function (myfun): scale = 3; fun[x_] := E^(-(x^2/2))/\[Pi]^(1/4) myfun[x_] := fun[x/scale]/Sqrt[scale] that is normalized: ...
155 views

### Numerical Integration With Many Singularities

Is possible a solution to this Numerical Integration? The constant values are as follows: ...
1k views

### How do I perform an FFT on a .wav file?

I've been trying all day to figure out how to do this. I have been able to import the data without any problem and have been able to also plot just the data. However, I keep getting error messages ...
150 views

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### FourierTransform a differental-equations [duplicate]

I want to use the command FourierTransform to transform a differential equations from time - domain to complex frequency domain but it don't works. My code is ...
310 views

### Engineering spectral densities using filtered white noise

My goal is to create time-spectrum noise signals with spectral densities $S_{xx}(f)$ for pretty much arbitrary spectral densities (think white noise, lorentzian, $1/f$). In finding advice on how to do ...