Chebychev polynomials in a speech recognition model

Advanced speech information processing systems require further research on speaker-dependent information. Recently, a specific system of discrete orth ogonal polynomials {phi (L)(r)(l); l = 1, 2,..., L} (R)(r=o) has been encou ntered to play a dominant role in a segmental probability model recently pr oposed in tile speaker-dependent feature extraction from speech waves and a pplied to text-independent speaker verification. Here, these speech polynom ials are shown to be the shifted Chebyshev polynomials on a discrete variab le t(r)(l-1,L), whose structural and spectral properties are discussed and reviewed in light of the recent discoveries in the field of discrete orthog onal polynomials. (C) 2001 Elsevier Science Ltd. All rights reserved.