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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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### Partial sums and Fourier series approach

I am trying to plot the partial sums for $N=5,10,15,20$ of the Fourier series of $f(x)=(1-x^2)^2$ and $-1<x<1.$ I have: ...
54 views

### Complex Fourier method for a function

I am trying to calculate the complex fourier series of $f(x)=\cosh x$ for $-\pi<x<\pi$ . I tried ...
54 views

### Fourier series for a function

I am trying to calculate the fourier series of $f(x)=\sin x$ for $0<x<\pi$ and $f(x)=0$ for $-\pi<x<0$ and make the plots. I tried ...
73 views

83 views

### How to implement a Fourier series?

I've got a Fourier series (amplitude An and phase Phi, see below) 12 terms which I would like to implement in Mathematica. The ...
158 views

### Decomposition of a time series into sinusoids

I've noticed this interesting study on metatrader 4; see the picture below: Where the financial timeseries is "decomposed" (deconvolved?) into a series of periodic sinusoidal functions. In the ...
116 views

### Convolution in Fourier domain

I am computing the convolution of a disk Img in 2D numerical matrix form with a kernel Ker in the Fourier domain but the output ...
29 views

### Using Integrate and or FourierTransform`

I have some general questions about Integrate and FourierTransform. Firstly with ...