A simple proof of stability for all-pole linear prediction models

1 May 1979

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE

Vol. 67 (5) , 860-861
https://doi.org/10.1109/PROC.1979.11332

Abstract

A simple method of proof is presented for the minimum-phase property of the all-pole model obtained in the autocorrelation method of linear prediction. The proof does not require knowledge of Levinson's recursion and extends easily to some special cases of the covariance method of linear prediction.

Keywords

STABILITY
PREDICTIVE MODELS
AUTOCORRELATION
FINITE IMPULSE RESPONSE FILTER
EQUATIONS
POLYNOMIALS
COMPUTER SCIENCE
LYAPUNOV METHOD

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