Spectral Envelope Extraction

There are many definitions of *spectral envelope*.
Piecewise-linear (or polynomial spline) spectral envelopes (applied to
the spectral magnitude of an STFT frame), have been used successfully
in sines+noise modeling of audio signals (introduced in §10.4).
Here we will consider spectral envelopes defined by the following two
methods for computing them:

*cepstral windowing*to lowpass-filter the log-magnitude spectrum (a ``nonparametric method'')- using
*linear prediction*(a ``parametric method'') to capture spectral shape in the amplitude-response of an all-pole filter in a*source-filter decomposition*of the signal (where the source signal is defined to be spectrally flat)

In the following, denotes the th spectral frame of the STFT (§7.1), and denotes the spectral envelope of .

- Cepstral Windowing
- Linear Prediction Spectral Envelope
- Linear Prediction is Peak Sensitive
- Linear Prediction Methods
- Computation of Linear Prediction Coefficients
- Linear Prediction Order Selection
- Summary of LP Spectral Envelopes

- Spectral Envelope Examples

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University