A Time-Domain Interpretation for the LSP Decomposition

Tom Bäckström, Paavo Alku, Tuomas Paatero, Willem Bastiaan Kleijn · IEEE Transactions on Speech and Audio Processing · 2004

The line spectrum pair (LSP) decomposition is a widely used method in speech coding. In this article, we will show that the LSP polynomials, whose trivial zeros have been removed, are equivalent to two optimal (in the mean square sense) predictors in which a sample is predicted from linear combinations of its previous averaged and differentiated values.

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