# 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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### Figuring out the frequency components using FFT

The function defined below has three frequencies 2, 4 and 10. How to use the Fourier transform (FFT) to show these frequencies? ...
60 views

### Identifying the three frequencies using fourier transform

The following simple function has clearly three frequency components: ...
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### FourierTransform frequency

In wikipedia's Fourier Transform site there are tables of important FTs, the thing is that Mathematica always considers angular frequency. Is there a way to get what is in the second column labeled ...
18 views

### Plotting DiracDelta series

I'm dealing with the Fourier Transform of the following signal: ...
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### How to set up a Fourier transform?

I am having trouble figuring out how to set up the Fourier transform to: ...
2k views

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### Fourier on chosen dimensions

I have a data set DATA in 4 dimensions $A \times B \times C \times D$ and I want to use the Fourier function net only on the 2 ...
34 views

### Evaluating Fourier coefficients when Exponential terms are present

I am trying an analytical solution for a 3D Laplace equaition, and just wanted to know if I could use the symbolic calculation capabilities of Mathematica to calculate the Fourier coefficients ...
187 views

### Fourier series of an arbitrary periodic piecewise function

Let's take a switch function as an example: $u(t)= \begin{cases} 1, & \text{$0<t<dT_s$} \\ 0, & \text{$dT_s<t<T_s$} \end{cases}$ How can I get Fourier series of it in ...
186 views

### Which FFT algorithm does Fourier[…]` use?

Does anyone know which Fast Fourier Transform algorithm Mathematica uses to compute a Discrete Fourier Transform using Fourier[...], and is there any option to ...
125 views

### Why does Fourier give me a different picture than ImagePeriodogram?

I want to take a 2D fourier transform of some data, but when I try this I get unexpected results. When I use ImagePeriodogram I get something that looks like I ...
195 views

### Fourier Transform to help guess with NonLinearModelFit

I imported some data in Mathematica which I cleaned a bit. This process went well. I also managed to plot it, and tried to take the Fourier transform of the data and plot it again. I'm not sure if I ...
54 views

### Fourier parametric plot running into “Iteration limit of 4096 exceeded.”

I am trying to create a fourier drawing tool like this but am running into an iteration limit on larger images. Being quite new to mathematica, how could I go about fixing this / making the program ...
67 views

### DFT and continuous Fourier transform gives different result? [closed]

I am working on the inverse Fourier transform of $\frac{\sqrt{|k|}}{i(|k|-\omega)-\Gamma}$ with $\omega=100, \Gamma=1$. For continuous Fourier transform, I get the following result: ...
89 views

### applying a fourier sin series fit and then doing a fourier transform

I tried to fit a fourier sin series onto this data with the two different following codes. ...
96 views

### Polynomial fit and Fourier transform plot

I'm pretty new to Mathematica so excuse me for obvious questions. I have a dataset, second column contains invoice amount and the first column contains days passed between each invoice date starting ...
83 views

### Plot beat waves spectrum

I have a signal composed of 3 waves oscillating at a high frequency (~10^15 Hz) separated in frequency by 10MHz. I want to simulate the resulting beat wave spectrum. I am expecting a two-peak spectrum,...
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### How do I find the n-th Fourier coefficient of a function?

I have to define the function f: π for x ∈ (-1,1) 0 for all the others. How do I find the n-th coefficient of this function in the Fourier series expansion for (-...
I'm trying to compute the analytical FT of a bidimensional exponential decay as follows: $f_E(\vec{x}) = \exp \left( - \sqrt{ (\vec{x} - \vec{\mu})^T \Sigma^{-1} (\vec{x} - \vec{\mu}) } \right)$ ...