Questions tagged [fourier-analysis]
Questions on the discrete and continuous Fourier analysis functions of Mathematica, as well as the FourierSeries` package.
727 questions
1 vote
0 answers
127 views
What are possible ways to avoid DiracDelta[ω] in Fourier transforms? [closed]
I found one related question here, but I am looking for other possible solutions for this DiracDelta function in the Fourier transform. ...
1 vote
0 answers
83 views
Numerical inverse Fourier Transform of a singular function
I'm working on computing the inverse Fourier transform of a function derived from a matrix construction involving a Poisson-weighted system. Here's the relevant setup.The main object is a matrix-...
2 votes
1 answer
183 views
How can I get the power spectrum and mean power of my signal?
I have measured this signal over time (where x is time in seconds and y is AC in D): ...
0 votes
0 answers
105 views
Why Periodogram overestimates the spectral power?
Why does Periodogram overestimate the spectral power by a fraction of the sampling frequency? ...
3 votes
1 answer
305 views
Difficult inverse Fourier transform computation
I need the expression of the function $G(x)$ for which I have only the Fourier transform: \begin{equation} G(x)= \int_{-\infty}^{\infty} \frac{ dp}{2 \pi}e^{i p x} \frac { \sinh\left( \frac{ \pi p(1-\...
3 votes
2 answers
310 views
Can I make double discrete Fourier transform produce the reverse of data?
Fourier[Fourier[{1,2,3,4}]] gives {1,4,3,2} instead of a mirror image {4,3,2,1}. Is there a ...
2 votes
2 answers
233 views
When trying to graph a 2D Fourier transform - cannot evaluate numerically
I am trying to graph the 2D Fourier transform of the function: (x + I y) BesselJ[1, Sqrt[x^2 + y^2]]. However, I noticed that upon trying to evaluate this function, ...
0 votes
1 answer
98 views
How can I find fourier series of periodic function without replacing A, T with numbers?
How can I find fourier series? A = 1, T = $\pi$ If we substitute A, T with numbers (A = 1, T = $\pi$), this code works perfectly. ...