2-D ARP's spectral factorization

Y. Q. Shi

2-D ARP's spectral factorization

Y. Q. Shi

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

Arp's method of spectral factorization (Arch. Elek. Ubertragung Electron. Commun., vol. 39, no. 4, pp. 251-258, 1985) is considered for generalization to the two-dimensional (2-D) case. Although convergence and stability cannot be theoretically guaranteed due to the inevitable finite-order approximants to the 2-D spectral factors of infinite order, the algorithm is expected to be convergent and stable if certain truncation parameters are large enough. Illustrative examples are given to support the conclusions.

Original language	English (US)
Pages (from-to)	1487-1490
Number of pages	4
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	2
State	Published - 1989
Event	IEEE International Symposium on Circuits and Systems 1989, the 22nd ISCAS. Part 1 - Portland, OR, USA Duration: May 8 1989 → May 11 1989

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Cite this

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abstract = "Arp's method of spectral factorization (Arch. Elek. Ubertragung Electron. Commun., vol. 39, no. 4, pp. 251-258, 1985) is considered for generalization to the two-dimensional (2-D) case. Although convergence and stability cannot be theoretically guaranteed due to the inevitable finite-order approximants to the 2-D spectral factors of infinite order, the algorithm is expected to be convergent and stable if certain truncation parameters are large enough. Illustrative examples are given to support the conclusions.",

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year = "1989",

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note = "IEEE International Symposium on Circuits and Systems 1989, the 22nd ISCAS. Part 1 ; Conference date: 08-05-1989 Through 11-05-1989",

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AU - Shi, Y. Q.

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AB - Arp's method of spectral factorization (Arch. Elek. Ubertragung Electron. Commun., vol. 39, no. 4, pp. 251-258, 1985) is considered for generalization to the two-dimensional (2-D) case. Although convergence and stability cannot be theoretically guaranteed due to the inevitable finite-order approximants to the 2-D spectral factors of infinite order, the algorithm is expected to be convergent and stable if certain truncation parameters are large enough. Illustrative examples are given to support the conclusions.

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VL - 2

SP - 1487

EP - 1490

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

T2 - IEEE International Symposium on Circuits and Systems 1989, the 22nd ISCAS. Part 1

Y2 - 8 May 1989 through 11 May 1989

ER -

2-D ARP's spectral factorization

Abstract

All Science Journal Classification (ASJC) codes

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