The Line Spectral Frequency Model of a Finite-Length Sequence

Yedlapalli, Satya Sudhakar and Hari, KVS (2010) The Line Spectral Frequency Model of a Finite-Length Sequence. In: Selected Topics in Signal Processing, IEEE Journal of, 4 (3). pp. 646-658.

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Abstract

The line spectral frequency (LSF) of a causal finite length sequence is a frequency at which the spectrum of the sequence annihilates or the magnitude spectrum has a spectral null. A causal finite-length sequencewith (L + 1) samples having exactly L-LSFs, is referred as an Annihilating (AH) sequence. Using some spectral properties of finite-length sequences, and some model parameters, we develop spectral decomposition structures, which are used to translate any finite-length sequence to an equivalent set of AH-sequences defined by LSFs and some complex constants. This alternate representation format of any finite-length sequence is referred as its LSF-Model. For a finite-length sequence, one can obtain multiple LSF-Models by varying the model parameters. The LSF-Model, in time domain can be used to synthesize any arbitrary causal finite-length sequence in terms of its characteristic AH-sequences. In the frequency domain, the LSF-Model can be used to obtain the spectral samples of the sequence as a linear combination of spectra of its characteristic AH-sequences. We also summarize the utility of the LSF-Model in practical discrete signal processing systems.

Item Type:	Journal Article
Publication:	Selected Topics in Signal Processing, IEEE Journal of
Publisher:	IEEE
Additional Information:	Copyright 2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords:	Annihilating (AH) sequence;antisymmetric;fixed-point approximation;Levinson-Durbin; line spectral frequency (LSF);line spectral pair (LSP);linear prediction;linear phase;minimum phase;normalized phase;roots of a polynomial;spectral decomposition;symmetric
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	23 Jun 2010 10:42
Last Modified:	19 Sep 2010 06:08
URI:	http://eprints.iisc.ac.in/id/eprint/28294

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