Title :
A time-domain interpretation for the LSP decomposition
Author :
Bäckström, Tom ; Alku, Paavo ; Paatero, Tuomas ; Kleijn, Bastiaan
Author_Institution :
Lab. of Acoust. & Audio Signal Process., Helsinki Univ. of Technol., Finland
Abstract :
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.
Keywords :
linear predictive coding; polynomials; speech coding; transfer functions; LSP decomposition; line spectrum pair decomposition; linear prediction; speech coding; symmetric polynomials; time-domain interpretation; transfer functions; Acoustic reflection; Frequency; Impedance; Lattices; Nonlinear filters; Poles and zeros; Polynomials; Signal processing algorithms; Speech coding; Time domain analysis; LSP; Linear prediction; line spectrum pairs; symmetric polynomials;
Journal_Title :
Speech and Audio Processing, IEEE Transactions on
DOI :
10.1109/TSA.2004.834470
