# Questions tagged [fourier-transform]

The Fourier transform is a mathematical operation that decomposes a function into its constituent frequencies, known as a frequency spectrum.

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### Fourier transform of a delayed LFM chirp

I know that for a given signal $s(t)$ and a given delay $\tau$, by the shift theorem: $$\mathcal{F}\{s(t-\tau)(f) \} = e^{-j 2 \pi f \tau} \mathcal{F}\{s(t)(f) \} \tag{1}$$ However, when I try to ...
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### Derivation of 9 point Laplacian filter

I'm reading a paper on how construct isotropic laplacian filter, and perhaps because it's an old paper, the notation in it really bothers me a lot. So can someone please explain it to me? For example, ...
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### Is the amount of zero valued minors of a size n discrete Fourier transform matrix dependent on the amount of divisors of n?

This is a repost from Mathematics Stack Exchange due to lack of answers. A minor is a determinant of a square matrix formed from a bigger square matrix by removing rows and columns. A minor having ...