Mathematica Issues with Direct Fourier Transform in Mathematica

AI Thread Summary
The discussion centers on challenges faced when using the Discrete Fourier Transform (DFT) in Mathematica to analyze a sampled Gaussian pulse. The user successfully extracts the amplitude distribution by taking the absolute value of the complex numbers resulting from the DFT, which yields a Gaussian shape. However, they encounter difficulties in obtaining the frequency distribution from the phase information of the Fourier-transformed data. The user seeks guidance on effectively extracting the frequency distribution to achieve a Gaussian shape, and they reference a resource found online for additional context.
MaratasS
Messages
2
Reaction score
0
Issues with Discrete Fourier Transform in Mathematica

Maybe someone else had this problem.
Lets say we have a sampled Gaussian pulse in time domain and transform it into frequency domain. For that I use the discrete Fourier transform. Now the resulting set of transformed values is made up of complex numbers. I want to extract two things from that set: Amplitude distribution and frequency distribution.
The first one is straight forward - I just take the absolute value of the complex numbers an the resulting set of values has a Gaussian shape.
However I have problems getting the frequencies. I don't know how to extract them by having the phase of the Fourier set. And no matter what I do I can't get the Gaussian frequency distribution.
All ideas will be greatly appreciated.
 
Last edited:
Physics news on Phys.org

Similar threads

Replies
2
Views
2K
Replies
1
Views
3K
Replies
47
Views
3K
Replies
10
Views
3K
Replies
9
Views
9K
Replies
5
Views
1K
Replies
4
Views
2K
Replies
5
Views
5K
Back
Top