Linear Prediction analysis

Linear prediction analysis of speech is historically one of the most important speech analysis techniques. The basis is the source-filter model where the filter is constrained to be an all-pole linear filter. This amounts to performing a linear prediction of the next sample as a weighted sum of past samples:

This linear filter has the transfer function:

A good introductory article is [8], and this subject is also covered well in [1, 2, 3].

 
• Motivation from lossless tubes
• Parameter estimation
• The autocorrelation method
• The covariance method
• Pre-emphasis
• The LP spectrum
• Gain computation
• The lattice filter implementation
• The Itakura distance measure
• The LP cepstrum
• Log area ratios
• The roots of the predictor polynomial
• Line spectral pairs