---
tags: signal processing
---

# Signal Processing

## Signal Processing
- Holton, T., 2021. [Digital Signal Processing - Principles and Applications](https://www.cambridge.org/highereducation/books/digital-signal-processing/CFB036179B9CEDB3CB2E3B7D6E646D72#overview) | [DOI](https://doi.org/10.1017/9781108290050)
- [Systems and Signal Processing *with Matlab*](https://www.routledge.com/Systems-and-Signal-Processing-with-MATLAB-Two-Volume-Set/ElAli/p/book/9780367535568#). Two-volume set, by *ElAli, T.S.*, 2021
- [The Scientist's and Engineer's Guide to Signal Processing](http://www.dspguide.com)

## Multi-taper Spectral Estimation
- https://krischer.github.io/mtspec/
- https://krischer.github.io/mtspec/multitaper_mtspec.html
- https://krischer.github.io/mtspec/multitaper_mtspec.html

## Matlab Signal Processing Notes
- [Sig Proc Toolbox Release Notes 2022a](https://www.mathworks.com/help/signal/release-notes.html)
- [Practical Introduction to Frequency-Domain Analysis](https://www.mathworks.com/help/signal/ug/practical-introduction-to-frequency-domain-analysis.html)

## Kalman Filter
- https://jbconsulting.substack.com/p/is-the-kalman-filter-just-a-low-pass

## FFT Intro
- [A genle Intro to the FFT](https://www.earlevel.com/main/2002/08/31/a-gentle-introduction-to-the-fft/). Also see [HacknerNews Comments](https://news.ycombinator.com/item?id=28926775)
- [Teach (and learn) the Fourier transform geometrically! Understanding the Fourier transform through a visualization of oscillators in the complex plane](https://towardsdatascience.com/teach-and-learn-the-fourier-transform-geometrically-ce320f4200c9)

## Cepstrum
- [Cepstrum, quefrency, and pitch](https://www.johndcook.com/blog/2016/05/18/cepstrum-quefrency-and-pitch/)
-

## Wavelets
- [Convolution Theorem Continuous Wavelet Transform](https://www.sciencedirect.com/science/article/abs/pii/S0165168403002159)
- [Generalized wavelet transform based on the convolution operator in the linear canonical transform domain](https://www.sciencedirect.com/science/article/abs/pii/S0030402614003805) *Time-fractional Frequency Analysis?*

## Fractional Fourier Transform (FrFT)

- [An interactive guide to Fourier series ](https://injuly.in/blog/fourier-series/index.html)
- [HackerNews Comment Thread](https://news.ycombinator.com/item?id=39509414)
- [Fractional Discrete Fourier Transform](https://static.laszlokorte.de/frft-cube/)
- [A novel blind source separation technique using fractional Fourier transform for denoising medical images](https://www.sciencedirect.com/science/article/abs/pii/S0030402611006899?via%3Dihub)
- [Novel convolution and correlation theorems for the fractional Fourier transform](https://www.sciencedirect.com/science/article/abs/pii/S0030402615019786?via%3Dihub)
- [The fractional Fourier transform: theory, implementation and error analysis](https://www.sciencedirect.com/science/article/abs/pii/S0141933103001133?via%3Dihub)
- [A Comprehensive Survey on Fractional Fourier Transform](https://content.iospress.com/articles/fundamenta-informaticae/fi1477)
- [Separation of Overlapping Linear Frequency Modulated (LFM) Signals Using the Fractional Fourier Transform](https://www.researchgate.net/publication/47299958_Separation_of_Overlapping_Linear_Frequency_Modulated_LFM_Signals_Using_the_Fractional_Fourier_Transform)
- [Signal separation using linear canonical and fractional Fourier transforms](https://www.sciencedirect.com/science/article/abs/pii/S003040180600321X)

### Fractional S-Transform
- [Fractional S transform — Part 1: Theory](https://link.springer.com/article/10.1007/s11770-012-0316-6)
- Also search "Fractional S-Transform" at the above site (e.g. https://link.springer.com/search?query=Fractional+S+transform+)

## Miscellaneous
- [Why Can’t You Design Noise in Frequency Space?](https://blog.demofox.org/2021/12/29/why-cant-you-design-noise-in-frequency-space/)
- [HackerNews Comment Thread](https://news.ycombinator.com/item?id=29736208)
- [Electronotes](https://electronotes.netfirms.com/)