Affiliation:
1. Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460-8093, USA
Abstract
A constructive method of proof is presented for the minimum-phase property of two important linear prediction models, i.e., the bandlimited and bandpass linear prediction models. A generic functional symmetric matrix is first constructed. It is shown that the matrix is positive definite under a mild condition. The result is used, along with a special eigen-structure of the associated companion matrix, to establish the stability of the two linear prediction models.
Publisher
World Scientific Pub Co Pte Lt
Subject
Electrical and Electronic Engineering,Hardware and Architecture,Electrical and Electronic Engineering,Hardware and Architecture
Reference10 articles.
1. A. I. Saichev and W. A. Woyczyñski, Distributional and Fractal Calculus, Integral Transforms, and Wavelets (Birkhäuser, 1997) pp. 276–281.
2. Robust prediction of band-limited signals from past samples (Corresp.)
3. Linear prediction: A tutorial review
4. Pitch prediction filters in speech coding