# Questions tagged [fourier]

The tag has no usage guidance.

297 questions
Filter by
Sorted by
Tagged with
1 vote
41 views

### A different FFT algorithm that achieves the result of zero-padding?

I have been figuring out how the Cooley-Tukey FFT algorithm works out of curiosity. After succesfully (re)creating the algorithm in python I started wondering if I could add another 'stage' to the ...
• 33
43 views

### Trying to find the Fourier Series Representation of a sum of Sinusoids

Given a signal: $$x(t) = -5\cos{(93.6\sqrt{2}\pi t - 2\pi/3)} + 3 \cos{(135.2\sqrt{2}\pi t + \pi/13)}$$ I am confused about the right process to take or if there is an easier way than following all ...
35 views

### Problem with transforming a tophat to obtain a sinc?

I have observed that the Fourier transform of a tophat function is a Sinc-like function with higher peak sidelobes than an actual Sinc. However, the Fourier transform of a Sinc is a tophat-like ...
1 vote
152 views

### Sample Frequency does not matter if it is sufficiently large

I'm not able to convince a colleague on the following topic. Statement: If, and only if, the sample frequency is sufficiently large and above the Nyquist frequency it does not matter what fs is as ...
27 views

• 197
1 vote
126 views

### what does frequencies in non periodic signals mean?

What do the frequencies in the a Fourier transform of a non-periodic signal mean physically? Are there another definition of frequency that doesn't include the FT?
201 views

### DFT Signal DFT Length N , FFT

If we sample a signal let say sine(2 * pi * f) with f=1Hz and a sampling Frequency of Fs = 8Hz, is it right that the length of the data should be N = Fs/f or multiple of Fs/f like N= d*(Fs/f) with d=...