2-D Wilson Spectral Factorization

N. K. Bose; Y. Q. Shi

doi:10.1109/29.1499

2-D Wilson Spectral Factorization

N. K. Bose
, Y. Q. Shi

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Wilson’s method of spectral factorization is considered for generalization to the two-dimensional (2-D) case. For practical implementation, finite order approximants to the 2-D spectral factors of infinite order are obtained. Although stability or convergence cannot be guaranteed in general, justifications are made for the simulated success of the proposed generalization. Illustrative examples are given to support the conclusions.

Original language	English (US)
Pages (from-to)	125-128
Number of pages	4
Journal	IEEE Transactions on Acoustics, Speech, and Signal Processing
Volume	36
Issue number	1
DOIs	https://doi.org/10.1109/29.1499
State	Published - Jan 1988

All Science Journal Classification (ASJC) codes

Signal Processing

Access to Document

10.1109/29.1499

Cite this

@article{0d5787506d584e9685575ebced306983,

title = "2-D Wilson Spectral Factorization",

abstract = "Wilson{\textquoteright}s method of spectral factorization is considered for generalization to the two-dimensional (2-D) case. For practical implementation, finite order approximants to the 2-D spectral factors of infinite order are obtained. Although stability or convergence cannot be guaranteed in general, justifications are made for the simulated success of the proposed generalization. Illustrative examples are given to support the conclusions.",

author = "Bose, \{N. K.\} and Shi, \{Y. Q.\}",

note = "Funding Information: In (5), the parameter M2 is a finite nonnegative integer. Other different forms of the approximant are also possible, using additional parameters. The method to be discussed also applies to other Manuscript received August 3, 1986; revised August 14, 1987. This work was supported in part by the National Science Foundation under Grant ECS-8696113, and in part by a grant from the Singer Foundation. N. K. Bose is with the Department of Electrical Engineering, Pennsylvania State University, University Park, PA 16802. Y. Q. Shi is with the Department of Electrical Engineering, New Jersey Institute of Technology, Newark, NJ 07102. IEEE Log Number 8717430.",

year = "1988",

month = jan,

doi = "10.1109/29.1499",

language = "English (US)",

volume = "36",

pages = "125--128",

journal = "IEEE Transactions on Acoustics, Speech, and Signal Processing",

issn = "0096-3518",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "1",

}

TY - JOUR

T1 - 2-D Wilson Spectral Factorization

AU - Bose, N. K.

AU - Shi, Y. Q.

N1 - Funding Information: In (5), the parameter M2 is a finite nonnegative integer. Other different forms of the approximant are also possible, using additional parameters. The method to be discussed also applies to other Manuscript received August 3, 1986; revised August 14, 1987. This work was supported in part by the National Science Foundation under Grant ECS-8696113, and in part by a grant from the Singer Foundation. N. K. Bose is with the Department of Electrical Engineering, Pennsylvania State University, University Park, PA 16802. Y. Q. Shi is with the Department of Electrical Engineering, New Jersey Institute of Technology, Newark, NJ 07102. IEEE Log Number 8717430.

PY - 1988/1

Y1 - 1988/1

N2 - Wilson’s method of spectral factorization is considered for generalization to the two-dimensional (2-D) case. For practical implementation, finite order approximants to the 2-D spectral factors of infinite order are obtained. Although stability or convergence cannot be guaranteed in general, justifications are made for the simulated success of the proposed generalization. Illustrative examples are given to support the conclusions.

AB - Wilson’s method of spectral factorization is considered for generalization to the two-dimensional (2-D) case. For practical implementation, finite order approximants to the 2-D spectral factors of infinite order are obtained. Although stability or convergence cannot be guaranteed in general, justifications are made for the simulated success of the proposed generalization. Illustrative examples are given to support the conclusions.

UR - https://www.scopus.com/pages/publications/0023844607

UR - https://www.scopus.com/pages/publications/0023844607#tab=citedBy

U2 - 10.1109/29.1499

DO - 10.1109/29.1499

M3 - Article

AN - SCOPUS:0023844607

SN - 0096-3518

VL - 36

SP - 125

EP - 128

JO - IEEE Transactions on Acoustics, Speech, and Signal Processing

JF - IEEE Transactions on Acoustics, Speech, and Signal Processing

IS - 1

ER -

2-D Wilson Spectral Factorization

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this