# Questions tagged [fourier-analysis]

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

447 questions
Filter by
Sorted by
Tagged with
963 views

### How fast is my fidget spinner spinning? A sound experiment!

I would like to measure how fast my 6-bladed fidget spinner spins. To do so, after giving it a hard spin, I gently touch the spinner with a wooden stirring stick to create a buzzing sound which ...
568 views

### Fourier Transform plot of a piecewise function

I'm working with financial data. I used "Find Formula" to find an approximate function and then I applied FourierTransform to it. Here are the function and the Fourier Transform: ...
213 views

### How to realize the contribution of each row in the Fourier Transform of an image?

Let me first show you what I have done so far. ...
104 views

### Fourier transform of $1/\sin(\pi x)$ - a quest to find the sign function!

While performing the following (presumably) correct manipulations in Mathematica, I obtain a result that is missing a sign function. Is there a mistake in my code, or is there some bug in Mathematica? ...
54 views

### Integrating problem using interface

lately I tried to develop an interface that will plot the furier sum of a given function up to a given number of terms. The code is here: ...
2k views

### Circular Aperture Diffraction Pattern

I am unsure if this is even possible in Mathematica, but my optics professor assigned a project to me on circular apertures and Fourier transforms. I have found plenty on the Airy function, but I am ...
223 views

### Ideal/Brick wall Low/High-pass filters: Fourier approach not working

I am trying to take a signal (as a list) and separate it into the low frequency and high frequency parts around some split frequency f. Given that what little signal processing I ever studied is now ...
293 views

### 2D Fourier transform of annulus

I have an annulus and I'd like to the take the 2D Fourier transform of it, my code: ...
512 views

### FFT of data to obtain resonance frequencies and correct amplitudes

I have often to do with experimental data (with a certain length and given sampling frequency) where I obtain trajetories of moving objects in 2d. Then I am interested to find out what the ...
95 views

### TrigReduce applied to certain terms? Finding coefficients of trig terms

I have an expression that involves trig functions of t and y. I would like to find the coefficients of ...
60 views

### 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 ...
141 views

### FourierParameters causing function not to simplify

When evaluating this expression, Mathematica simplifies the result: FourierTransform[FourierTransform[u[t], t, s], s, t] This simplifies to ...
93 views

### Minimum Sampling Frequency for a 20-term expression [closed]

How can I determined what the minimum sampling frequency should be for the 20-term expression for the function ...
1k views

### How do I plot the Fourier series for a square wave? [closed]

f (t) = (4/pi) Sum[(1/n) sin (2 pi (f (t))), {n, 1, Infinity}]
668 views

### Discrepancy between Matlab and Mathematica Fourier parameters [duplicate]

MATLAB and Mathematica have different FFT normalization parameters. This is easy to change in Mathematica with the FourierParameters -> argument, but anything ...
86 views

### Weird plot for the discrete Fourier transform of a normal distribution compared to Matlab

In mathematica, why does Print[ListPlot[Fourier[RandomReal[NormalDistribution[], {100000}]],PlotRange -> All]]; return an empty plot, sometimes with a random ...