Questions on the discrete and continuous Fourier analysis functions of Mathematica, as well as the FourierSeries` package.
17
votes
3answers
1k views
Can one find the beat of a tune with Fourier analysis?
I'm trying to find out if it's possible to find the beat of a tune by Fourier analysis with Mathematica. I'm taking a 44.1 kHz sample sound and hoping that I might get a nice peak for a frequency ...
7
votes
2answers
235 views
How to approximate a given WAV file with trigonometric series?
I'd like (together with a few people) to prepare a presentation about Fourier series for middle/high school students. I thought it might be quite cool to play a violin sound from, say, a WAV file, ...
12
votes
4answers
1k views
Numerical Fourier transform of a complicated function
Say I have a function $f(x)$ that is given explicitly in its functional form, and I want to find its Fourier transform[1]. If $f$ is too complicated to have an analytic expression for $\hat f(k)$, how ...
12
votes
2answers
783 views
How to make Fourier behave like FourierTransform?
I'm not very experienced with Fourier Transforms, so there may be something inherently wrong with attempting to do this, but how can I make the discrete Fourier behave like the continuous ...
7
votes
0answers
141 views
Proving (self) similarity with Mathematica - Reccurrence Plots, Similarity Plots etc
I posted this question in math.se but given the sheer tumultous number of questions that keep appearing on math.se and also given that I am trying to accomplish this in Mathematica, I thought I'd post ...
12
votes
2answers
232 views
Parallelization of distinct array write access from subkernels
I'm working on an implementation of a multivariate FFT, which is (or at least should be) highly parallelizable due to the row-column-algorithm. However, i can't figure out how to implement that. The ...
2
votes
0answers
279 views
Fourier Coefficients in Mathematica [duplicate]
I'm calculating Fourier Coefficients by hand and trying to verify them in Mathematica.
However, in Mathematica I get them wrong by a factor of 2. Is there some part of the Mathematica functions I'm ...
0
votes
1answer
408 views
discrete Fourier transform
As an answer to my code I will get a periodic discrete time dependent function called "data" which I want to get a Discrete Fourier transform of it using just one period of it,but I think some thing ...
