Linked Questions

14 votes
7 answers

The difference between DFT and DFS

In the literature, I've found that DFS and DFT are one and the same. If they are one and the same why to use two different names for them? If there is really a difference what is it and what is the ...
phanitej's user avatar
  • 450
9 votes
5 answers

Is a Fourier transform a sound way to analyse a transient signal?

I am currently working on a project that involves analysing transient signals from sensors. While not actually part of the analysis itself, I discussed it with the team, and they are using an fft to ...
Sclrx's user avatar
  • 271
5 votes
5 answers

About Discrete Fourier Transform vs. Discrete Fourier Series

I am new to the field of signal processing. I am wondering what is the difference between DFS(Fourier Series) vs. DFT(Fourier Transform). For common applications, usually we get a segment(length <...
aha's user avatar
  • 161
4 votes
2 answers

Difference between CTFT and DTFT?

I have tried to read different articles but still confused in difference between continuous time Fourier transform and discrete time Fourier transform?
DSP_CS's user avatar
  • 1,850
0 votes
2 answers

derivation of discrete Fourier Transform

I'm learning DSP on my own. Found a free online book. Currently reading a chapter on Discrete Fourier Transform. Right out of the gate I can't understand several things. I'm pretty good with math and ...
flashburn's user avatar
  • 195
2 votes
5 answers

How is the DTFT of a periodic, sampled signal linked to the DFT?

I am trying to understand the connection between FT, DTFT and ultimately the DFT. But I am failing to link the DTFT to the DFT. This is how far I am getting: Say I have a function $f(t)$, and its ...
geo's user avatar
  • 184
1 vote
3 answers

Discrete Fourier Series - Time Index

I have been trying to understand Discrete Fourier Time Series (NOT Transform). It is defined as $$a_k = \sum_{n=0}^{N-1} x[n]e^{jk\frac{2\pi}{N}n}$$ where N is the Time period and an integer (by ...
user3001408's user avatar
1 vote
1 answer

What is a periodic signal in image processing?

In the context of image processing (and computer vision), the concept of convolution comes up a lot. Convolution is quite related to the concept of Fourier transform and DFT. In the context of image ...
user avatar
2 votes
2 answers

Significance of modular arithmetic in DFT?

In what ways does modular arithmetic plays a part in DFT? Why is it a so integral part of DFT?
Paran's user avatar
  • 167
2 votes
1 answer

Circular vs Linear Convolution

When deriving DFT from DTFT,we sample the frequency domain with uniformly spaced samples,hence adding periodicity to time domain. But DFT requires a limited support: we take only 1 period. Does that ...
Mateus R.'s user avatar
0 votes
2 answers

FFT of complex signal (I/Q), what do the bins N/2..N-1 represent?

I know it's a very basic question, but I've spent almost a full work day researching and still can't find a clear (or even just usable) answer. For the DFT of a real-valued signal the second half of ...
Violet Giraffe's user avatar