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* [https://ccrma.stanford.edu/~jos/filters/ Julius O. Smith III: Introduction to Digital Filters] - general mathematical theory about filters | * [https://ccrma.stanford.edu/~jos/filters/ Julius O. Smith III: Introduction to Digital Filters] - general mathematical theory about filters | ||

* [https://ccrma.stanford.edu/~jos/filters/ Julius O. Smith III: Mathematics of the Discrete Fourier Transform] - mathematical theory about spectral analysis | * [https://ccrma.stanford.edu/~jos/filters/ Julius O. Smith III: Mathematics of the Discrete Fourier Transform] - mathematical theory about spectral analysis | ||

− | * [http://msp.ucsd.edu/techniques/latest/book-html/ Miller Puckette: Theory and Techniques of Electronic Music] | + | * [http://msp.ucsd.edu/techniques/latest/book-html/ Miller Puckette: Theory and Techniques of Electronic Music] - concrete examples of audio synthesis and filters in PureData (graphical programming language) |

* [http://www.ece.rutgers.edu/~orfanidi/intro2sp/ Sophocles J. Orfanidis: Introduction to Signal Processing] | * [http://www.ece.rutgers.edu/~orfanidi/intro2sp/ Sophocles J. Orfanidis: Introduction to Signal Processing] | ||

## Revision as of 16:45, 28 March 2018

## Prerequisite Topics

Suggested languages:

- C / C++

Fourier transforms:

- Linear algebra
- Complex numbers and Eulers theorem

## Books

These books are available for free online and can also be purchased as physical books:

- Julius O. Smith III: Introduction to Digital Filters - general mathematical theory about filters
- Julius O. Smith III: Mathematics of the Discrete Fourier Transform - mathematical theory about spectral analysis
- Miller Puckette: Theory and Techniques of Electronic Music - concrete examples of audio synthesis and filters in PureData (graphical programming language)
- Sophocles J. Orfanidis: Introduction to Signal Processing