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Proceedings Paper

Stability analysis of multichannel linear-predictive systems
Author(s): Yusuf Ozturk; Huseyin Abut
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Paper Abstract

In this study we have attempted to investigate the stability problems observed in multichannel multidimensional linear predictive modeling of images. Morf et al.[3] have shown that based on a positive definite autocorrelation matrix, singular values of the matrix H ? ?q + 1.HERM(?q + 1) must lie inside the unit circle for a stable solution, where ?q + 1 is the normalized partial correlation matrix and HERM(.) denotes the Hermitian operator. We have employed this stability method to modify the multichannel Levinson algorithm [1,2] for obtaining stable linear prediction coefficients. Since the procedure involved block-by-block processing of image intensity values, blocks of 32x32 pixels were defined as analysis windows. A two-step stabilization method has been developed for these windows and it is applied to the multichannel multidimensional linear prediction of monochromatic imagery. The first step is based on heuristic notions and employed for obtaining strictly positive definite multichannel autocorrelation matrices R[q]. The second step is based on forcing singular values of H to reside inside the unit circle for satisfying the stability criterion reported in [3].

Paper Details

Date Published: 1 September 1990
PDF: 12 pages
Proc. SPIE 1360, Visual Communications and Image Processing '90: Fifth in a Series, (1 September 1990); doi: 10.1117/12.24158
Show Author Affiliations
Yusuf Ozturk, Ege Univ. Izmir (Turkey) and San Diego State Univ. (United States)
Huseyin Abut, San Diego State Univ. (United States)

Published in SPIE Proceedings Vol. 1360:
Visual Communications and Image Processing '90: Fifth in a Series
Murat Kunt, Editor(s)

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