《音乐应用的音频信号处理》(Audio Signal Processing for Music Applications)，这个课是斯坦福的CCRMA和Universitat Pompeu Fabra of Barcelona合开的，其中斯坦福的那个老师是开源重采样库libresample的作者，一些著名开源DAW都了这个库。
课程链接
目录：
-
Introduction
● Introduction to Audio Signal Processing
● Course outline
● Basic mathematics
- Sinusoidal functions
- Complex numbers
- Euler’s formula
- Complex sinusoids
- Scalar product of sequences
- Even and odd functions
- Convolution -
Discrete Fourier transform
● DFT equation
● Complex exponentials
● Scalar product in the DFT
● DFT of complex sinusoids
● DFT of real sinusoids
● Inverse-DFT -
Fourier transform properties
● Linearity, shift, symmetry, convolution
● Energy conservation and decibels
● Phase unwrapping, zero padding
● Fast Fourier Transform (FFT)
● FFT and zero-phase windowing
● Analysis/synthesis -
Short-time Fourier transform
● STFT equation
● Analysis window
● FFT size and Hop size
● Time-frequency compromise
● Inverse STFT -
Sinusoidal model
● Sinusoidal model equation
● Sinewaves in a spectrum
● Sinewaves as spectral peaks
● Time-varying sinewaves in spectrogram
● Sinusoidal synthesis -
Harmonic model
● Harmonic model equation
● Sinusoids-partials-harmonics
● Monophonic/polyphonic signals
● Harmonic detection
● Fundamental frequency detection -
Sinusoidal plus residual modeling
● Stochastic model
● Stochastic approximation of sounds
● Sinusoidal/harmonic plus residual model
● Residual subtraction
● Sinusoidal/harmonic plus stochastic model
● Stochastic model of residual -
Sound transformations
● Short-time Fourier transform
– Filtering; morphing
● Sinusoidal model
– Time and frequency scaling
● Harmonic plus residual model
– Pitch transposition
● Harmonic plus stochastic model
– Time stretching; morphing -
Sound/music description
● Spectral-based audio features
● Description of sound/music events and collections -
Concluding topics
● Review of class
● Beyond audio signal processing for music applications
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