Add Fast Fourier Transform (FFT) in R#242
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Pull Request Overview
Adds a recursive Cooley–Tukey FFT implementation in R with zero-padding to next power-of-two and accompanying documentation.
- Introduces fft_recursive with power-of-two padding and complex output
- Adds documentation and usage examples
- Includes an interactive example block in the R script
Reviewed Changes
Copilot reviewed 2 out of 2 changed files in this pull request and generated 8 comments.
| File | Description |
|---|---|
| mathematics/fast_fourier_transform.r | Adds the recursive FFT implementation, zero-padding helper, and an interactive example block |
| documentation/fast_fourier_transform.md | Documents the FFT function, usage, and complexity notes |
siriak
reviewed
Oct 23, 2025
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| # Fast Fourier Transform (FFT) | |||
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| This file documents the recursive Cooley-Tukey FFT implementation added to `R/mathematics/fast_fourier_transform.r`. | |||
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Please remove this file, we don't add documentation separately from the source code
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This PR is stale because it has been open 30 days with no activity. Remove stale label or comment or this will be closed in 7 days. |
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This PR was closed because it has been stalled for 7 days with no activity. |
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Overview
The
fft_recursivefunction decomposes a DFT of size N into smaller DFTs of even and odd indexed elements, recursively combining their results.If the input vector’s length is not a power of two, it is zero-padded to the next power of two for optimal performance.
This implementation serves as a clear, educational example of FFT internals while maintaining compatibility with complex input data.
Features
Complexity