Questions tagged [sparse-fourier-transform]
The sparse-fourier-transform tag has no usage guidance.
5
questions
0
votes
1
answer
52
views
Discrete Fourier Transform with known periodic sparsity pattern or constraints
Consider a discrete signal $x$ of size $n$, and write $c$ its discrete Fourier transform. Unless I'm mistaken, the relations between the two look something like:
\begin{split}c_k = \sum_{j=0}^{n-1} ...
- 117
2
votes
0
answers
89
views
Lomb-Scargle or Periodogram for non-uniformly sampled data
I have non-uniformly sampled data and I'm trying to look at its Power Spectral Density (PSD).
For that, I looked at the Periodogram PSD estimate of an interpolated (with uniform sampling period) ...
- 153
3
votes
1
answer
290
views
Sparse signal FFT
Say I had a time domain signal $x[k]$ wich is sparse: $\log(N)^2$ nonzero samples and the fourier transform has only a very (very!) small number of high frequency components. Are there any techniques ...
- 33
1
vote
0
answers
54
views
Sparse Fourier Transform for Sparse Pulse Trains
So I have signals for the form:
$$x_{k}(t) = \sum_{n=0}^{N} a_{k,n} \cdot \delta(t - nT_k)$$
that I receive as a superposition:
$$x(t) = \sum_{k=0}^{K} \sum_{n=0}^{N} a_{k,n} \cdot \delta(t - nT_k)$$
...
- 632
55
votes
4
answers
22k
views
What is the sparse Fourier transform?
MIT has been making a bit of noise lately about a new algorithm that is touted as a faster Fourier transform that works on particular kinds of signals, for instance: "Faster Fourier transform ...
- 3,773