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Algorithms for Audio Analysis

A selection of DSP topics related to signal decomposition

Below are some more general and much more comprehensive resources
The Short Time Fourier Transform
Nonnegative Matrix Factorisation
Harmonic Percussive Source Separation
Sinusoidal Modelling
Transient Modelling
Time-Frequency Masks for Reconstruction
Median Filters
Estimating Novelty

Online Resources

Introduction to Audio Content Analysis

Full online course from Alexander Lerch, as an accompniment to his book, Audio Content Analysis. A great introduction to a range of engineering concepts in audio analysis.

Notes on Music Information Retrieval

Worked through Python examples of a range of analysis techniques

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