# Questions tagged [fourier-transform]

The Fourier transform decomposes a signal (a function of time) into frequencies, giving the energy at each frequency.

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### Inverse Fourier transforms [migrated]

Find the inverse Fourier transform of: $F_1 = -i\omega e^{-|2\omega|}$ I understand using the formula book to find that the IFT of the $e^{-|2\omega|}$ is equal to $\frac{4}{\pi} \frac{1}{(4+t^2)}$ ...
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### Can you use fourier analysis to identify recurring transactions?

My banking app provides some predictive analysis on what upcoming bills I have. This got me thinking on how the bank does this analysis. Is it possible to use fourier analysis with my transaction ...
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### Why can weekends cause harmony?

The following plot shows power spectra (periodograms) of a sample from $X_t \sim \operatorname{Poisson}(1)$ along with that same sample where: Weekends were set to zero Sundays were set to zero ...
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### Non-stationary Random Fourier Features

Random Fourier Features (RFFs) were introduced by A. Rahimi and B. Recht in their 2007 publication Random Features for Large-Scale Kernel Machines. RFFs are based on Bochner's theorem, which applies ...
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### Is it possible to have seasonality at 24, 12, 8 periods in hourly based wind power data?

I have taken hourly-based wind power data, by taking its periodogram after making it stationary in R. It gives me four seasonal patterns at periods of 24, 12, 08, and 06, as shown in the figure below. ...
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