A Not-Too-Short Summary of Signal Processing#
Author: Igor L.R. Azevedo - The University of Tokyo & University of Brasilia
Email: igorlima1740@gmail.com
GitHub: igor17400/n2s-dsp
Acronym: N2S (Not-Too-Short)
WHAT TO EXPECT:
This work aims to provide a summary of signal processing that achieves a balance, as indicated by the title—not overly concise yet not as exhaustive as a comprehensive textbook. My intention was to explore essential content with more depth than a typical summary offers, yet not as extensively as a canonical textbook. At the same time, the idea is to combine several high-quality tutorials available online, which might be helpful in understanding and gaining a clear vision of signal processing. While this isn’t just a collection of equations, it also isn’t a book or paper that aims to make a significant contribution. Ultimately, my goal is to present a practical approach to signal processing that may be useful for those trying to better understand this subject. In any case, I hope this proves helpful to someone beyond myself. If you’ve read this far, thank you, and stay safe!
COLOR GUIDE:
This document uses four colors to convey specific types of information:
Color 1 - Indicates super important information, memorize it!
Color 2 - Used exclusively for arrows, which signify important details, curiosities, or useful symbols and information.
Color 3 - Marks important information designed to catch your attention.
Color 4 - Reserved for citations, links, lines, and other objects.
Table of Contents#
- Introduction to Signal Processing
- Discrete and Continuous Signal Processing
- Signals
- Analog and Digital Domains
- Transformation of signals
- Even and Odd Signals
- Common Signals in Engineering
- Singularity Functions
- Convolution
- Fourier Series
- Fourier Transform
- Common Fourier Transform Properties
- Fourier Transform Pairs and Its Applications
- Filtering a Signal Using Fourier Transform
- Fourier Transform of Periodic Functions
- Impulse Sampling and Its Fourier Transform
- Filters
- Laplace Transform
- Z-Transform