Optimal design of 2-D IIR filters - Strictly proper case

Arnab K. Shaw; Pradeep Misra

doi:10.1109/ICASSP.1992.226368

Optimal design of 2-D IIR filters - Strictly proper case

Arnab K. Shaw, Pradeep Misra

Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

© 1992 IEEE. The problem of optimal design of a class of two-dimensional (2-D) digital infinite impulse response (IIR) filters from spatial impulse response data is addressed. The denominator of the desired strictly proper 2-D filter is assumed to be separable. The filter coefficients are iteratively estimated by maintaining the t2-norm of the error between the prescribed and the estimated spatial domain responses. The complete subspace orthogonal to the 2-D model fitting error is identified. It is shown that by appropriate choice of the orthogonal subspace, the exact fitting error criterion can be simultaneously optimized with respect to the coefficients in both dimensions. If the desired response is known to be symmetric, the proposed algorithm will produce optimal denominators which are identical in both domains. The performance of the algorithm is demonstrated with some simulation studies.

Original language	English
Title of host publication	ICASSP 1992
Subtitle of host publication	1992 International Conference on Acoustics, Speech, and Signal Processing
Publisher	IEEE
Pages	333-336
Number of pages	4
ISBN (Print)	0-7803-0532-9
DOIs	https://doi.org/10.1109/ICASSP.1992.226368
State	Published - Aug 6 2002
Event	1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 - San Francisco, United States Duration: Mar 23 1992 → Mar 26 1992

Conference

Conference	1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992
Country/Territory	United States
City	San Francisco
Period	3/23/92 → 3/26/92

ASJC Scopus Subject Areas

Software
Signal Processing
Electrical and Electronic Engineering

Keywords

IIR filters
Computer aided software engineering
Iterative algorithms
Digital filters
Algorithm design and analysis
Frequency estimation
Filtering
Optimization methods
Iterative methods
Vectors

Disciplines

Electrical and Computer Engineering

Access to Document

10.1109/ICASSP.1992.226368License: Unspecified

Cite this

Shaw, AK & Misra, P 2002, Optimal design of 2-D IIR filters - Strictly proper case. in ICASSP 1992: 1992 International Conference on Acoustics, Speech, and Signal Processing., 226368, IEEE, pp. 333-336, 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992, San Francisco, United States, 3/23/92. https://doi.org/10.1109/ICASSP.1992.226368

@inproceedings{cb3160078d58482685776f96f99df8b7,

title = "Optimal design of 2-D IIR filters - Strictly proper case",

abstract = " {\textcopyright} 1992 IEEE. The problem of optimal design of a class of two-dimensional (2-D) digital infinite impulse response (IIR) filters from spatial impulse response data is addressed. The denominator of the desired strictly proper 2-D filter is assumed to be separable. The filter coefficients are iteratively estimated by maintaining the t2-norm of the error between the prescribed and the estimated spatial domain responses. The complete subspace orthogonal to the 2-D model fitting error is identified. It is shown that by appropriate choice of the orthogonal subspace, the exact fitting error criterion can be simultaneously optimized with respect to the coefficients in both dimensions. If the desired response is known to be symmetric, the proposed algorithm will produce optimal denominators which are identical in both domains. The performance of the algorithm is demonstrated with some simulation studies.",

keywords = "IIR filters, Computer aided software engineering, Iterative algorithms, Digital filters, Algorithm design and analysis, Frequency estimation, Filtering, Optimization methods, Iterative methods, Vectors",

author = "Shaw, {Arnab K.} and Pradeep Misra",

note = "Publisher Copyright: {\textcopyright} 1992 IEEE.; 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 ; Conference date: 23-03-1992 Through 26-03-1992",

year = "2002",

month = aug,

day = "6",

doi = "10.1109/ICASSP.1992.226368",

language = "English",

isbn = "0-7803-0532-9",

pages = "333--336",

booktitle = "ICASSP 1992",

publisher = "IEEE",

}

TY - GEN

T1 - Optimal design of 2-D IIR filters - Strictly proper case

AU - Shaw, Arnab K.

AU - Misra, Pradeep

PY - 2002/8/6

Y1 - 2002/8/6

N2 - © 1992 IEEE. The problem of optimal design of a class of two-dimensional (2-D) digital infinite impulse response (IIR) filters from spatial impulse response data is addressed. The denominator of the desired strictly proper 2-D filter is assumed to be separable. The filter coefficients are iteratively estimated by maintaining the t2-norm of the error between the prescribed and the estimated spatial domain responses. The complete subspace orthogonal to the 2-D model fitting error is identified. It is shown that by appropriate choice of the orthogonal subspace, the exact fitting error criterion can be simultaneously optimized with respect to the coefficients in both dimensions. If the desired response is known to be symmetric, the proposed algorithm will produce optimal denominators which are identical in both domains. The performance of the algorithm is demonstrated with some simulation studies.

AB - © 1992 IEEE. The problem of optimal design of a class of two-dimensional (2-D) digital infinite impulse response (IIR) filters from spatial impulse response data is addressed. The denominator of the desired strictly proper 2-D filter is assumed to be separable. The filter coefficients are iteratively estimated by maintaining the t2-norm of the error between the prescribed and the estimated spatial domain responses. The complete subspace orthogonal to the 2-D model fitting error is identified. It is shown that by appropriate choice of the orthogonal subspace, the exact fitting error criterion can be simultaneously optimized with respect to the coefficients in both dimensions. If the desired response is known to be symmetric, the proposed algorithm will produce optimal denominators which are identical in both domains. The performance of the algorithm is demonstrated with some simulation studies.

KW - IIR filters

KW - Computer aided software engineering

KW - Iterative algorithms

KW - Digital filters

KW - Algorithm design and analysis

KW - Frequency estimation

KW - Filtering

KW - Optimization methods

KW - Iterative methods

KW - Vectors

UR - http://www.scopus.com/inward/record.url?scp=85019553423&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019553423&partnerID=8YFLogxK

UR - https://corescholar.libraries.wright.edu/ee/32

U2 - 10.1109/ICASSP.1992.226368

DO - 10.1109/ICASSP.1992.226368

M3 - Conference contribution

SN - 0-7803-0532-9

SP - 333

EP - 336

BT - ICASSP 1992

PB - IEEE

T2 - 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992

Y2 - 23 March 1992 through 26 March 1992

ER -

Optimal design of 2-D IIR filters - Strictly proper case

Abstract

Conference

ASJC Scopus Subject Areas

Keywords

Disciplines

Access to Document

Other files and links

Cite this