Stability analysis of multichannel, linear predictive systems

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Tarih

1990

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Publ by Int Soc for Optical Engineering, Bellingham, WA, United States

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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 32×32 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].

Açıklama

SPIE;Swiss Federal Inst of Technology
Visual Communications and Image Processing '90 -- 1 October 1990 through 4 October 1990 -- Lausanne, Switz -- 13910

Anahtar Kelimeler

Kaynak

Proceedings of SPIE - The International Society for Optical Engineering

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

1360 pt 3

Sayı

Künye