A design method for separable-denominator 2D IIR filters using a stability criterion based on the system matrix

In this paper, we propose designing method for separable-denominator two-dimensional Infinite Impulse Response (IIR) filters (separable 2D IIR filters) by Successive Projection (SP) methods using a stability criterion based on the system matrix. It is generally known that separable 2D IIR filters ar...

Full description

Saved in:
Bibliographic Details
Main Authors: Miyata, T., Aikawa, N., Sugita, Y., Yoshikawa, T.
Format: Conference Proceeding
Language:English
Subjects:
Design methodology
IIR filters
Stability criteria
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 829
container_issue
container_start_page 826
container_title
container_volume
creator Miyata, T.
Aikawa, N.
Sugita, Y.
Yoshikawa, T.
description In this paper, we propose designing method for separable-denominator two-dimensional Infinite Impulse Response (IIR) filters (separable 2D IIR filters) by Successive Projection (SP) methods using a stability criterion based on the system matrix. It is generally known that separable 2D IIR filters are stable if and only if each of the denominators is stable. Therefore, the stability criteria of 1D IIR filters can be used for separable 2D IIR filters. A stability criterion based on the system matrix is a necessary and sufficient condition to guarantee stability in 1D IIR filters. Therefore, separable 2D IIR filters obtained by the proposed method have a smaller error ripple than those obtained by the conventional method.
doi_str_mv 10.1109/ICECS.2008.4674981
format conference_proceeding
fullrecord <record><control><sourceid>ieee_6IE</sourceid><recordid>TN_cdi_ieee_primary_4674981</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>4674981</ieee_id><sourcerecordid>4674981</sourcerecordid><originalsourceid>FETCH-LOGICAL-i90t-17417a066134a5145bb1d01d5f29dab359dcc1ce8ba83ea2cc753e79a49b90d73</originalsourceid><addsrcrecordid>eNpFUF1LwzAUjchAN_cH9CV_oDM3TZvmcdSphYGgex83ze0W6cdoIrh_b8WB5-V83Mt5OIzdg1gBCPNYlZvyYyWFKFYq18oUcMXmoKRSEgpprv8NiBmb_z4aAaDFDVuG8CkmqCzVeXHLhjV3FPyh5x3F4-B4M4w80AlHtC0ljvqh8z3GKZVPvKreeePbSGPgX8H3B448RLS-9fHM69FPFz_03GIgxycRj8TDOUTqeIdx9N93bNZgG2h54QXbPW925WuyfXupyvU28UbEBLQCjSLPIVWYgcqsBSfAZY00Dm2aGVfXUFNhsUgJZV3rLCVtUBlrhNPpgj381Xoi2p9G3-F43l_GSn8AxRFc3w</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>A design method for separable-denominator 2D IIR filters using a stability criterion based on the system matrix</title><source>IEEE Electronic Library (IEL) Conference Proceedings</source><creator>Miyata, T. ; Aikawa, N. ; Sugita, Y. ; Yoshikawa, T.</creator><creatorcontrib>Miyata, T. ; Aikawa, N. ; Sugita, Y. ; Yoshikawa, T.</creatorcontrib><description>In this paper, we propose designing method for separable-denominator two-dimensional Infinite Impulse Response (IIR) filters (separable 2D IIR filters) by Successive Projection (SP) methods using a stability criterion based on the system matrix. It is generally known that separable 2D IIR filters are stable if and only if each of the denominators is stable. Therefore, the stability criteria of 1D IIR filters can be used for separable 2D IIR filters. A stability criterion based on the system matrix is a necessary and sufficient condition to guarantee stability in 1D IIR filters. Therefore, separable 2D IIR filters obtained by the proposed method have a smaller error ripple than those obtained by the conventional method.</description><identifier>ISBN: 1424421810</identifier><identifier>ISBN: 9781424421817</identifier><identifier>EISBN: 1424421829</identifier><identifier>EISBN: 9781424421824</identifier><identifier>DOI: 10.1109/ICECS.2008.4674981</identifier><identifier>LCCN: 2008901170</identifier><language>eng</language><publisher>IEEE</publisher><subject>Design methodology ; IIR filters ; Stability criteria</subject><ispartof>2008 15th IEEE International Conference on Electronics, Circuits and Systems, 2008, p.826-829</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4674981$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,777,781,786,787,2052,27906,54901</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4674981$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Miyata, T.</creatorcontrib><creatorcontrib>Aikawa, N.</creatorcontrib><creatorcontrib>Sugita, Y.</creatorcontrib><creatorcontrib>Yoshikawa, T.</creatorcontrib><title>A design method for separable-denominator 2D IIR filters using a stability criterion based on the system matrix</title><title>2008 15th IEEE International Conference on Electronics, Circuits and Systems</title><addtitle>ICECS</addtitle><description>In this paper, we propose designing method for separable-denominator two-dimensional Infinite Impulse Response (IIR) filters (separable 2D IIR filters) by Successive Projection (SP) methods using a stability criterion based on the system matrix. It is generally known that separable 2D IIR filters are stable if and only if each of the denominators is stable. Therefore, the stability criteria of 1D IIR filters can be used for separable 2D IIR filters. A stability criterion based on the system matrix is a necessary and sufficient condition to guarantee stability in 1D IIR filters. Therefore, separable 2D IIR filters obtained by the proposed method have a smaller error ripple than those obtained by the conventional method.</description><subject>Design methodology</subject><subject>IIR filters</subject><subject>Stability criteria</subject><isbn>1424421810</isbn><isbn>9781424421817</isbn><isbn>1424421829</isbn><isbn>9781424421824</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2008</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><recordid>eNpFUF1LwzAUjchAN_cH9CV_oDM3TZvmcdSphYGgex83ze0W6cdoIrh_b8WB5-V83Mt5OIzdg1gBCPNYlZvyYyWFKFYq18oUcMXmoKRSEgpprv8NiBmb_z4aAaDFDVuG8CkmqCzVeXHLhjV3FPyh5x3F4-B4M4w80AlHtC0ljvqh8z3GKZVPvKreeePbSGPgX8H3B448RLS-9fHM69FPFz_03GIgxycRj8TDOUTqeIdx9N93bNZgG2h54QXbPW925WuyfXupyvU28UbEBLQCjSLPIVWYgcqsBSfAZY00Dm2aGVfXUFNhsUgJZV3rLCVtUBlrhNPpgj381Xoi2p9G3-F43l_GSn8AxRFc3w</recordid><startdate>200808</startdate><enddate>200808</enddate><creator>Miyata, T.</creator><creator>Aikawa, N.</creator><creator>Sugita, Y.</creator><creator>Yoshikawa, T.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200808</creationdate><title>A design method for separable-denominator 2D IIR filters using a stability criterion based on the system matrix</title><author>Miyata, T. ; Aikawa, N. ; Sugita, Y. ; Yoshikawa, T.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-17417a066134a5145bb1d01d5f29dab359dcc1ce8ba83ea2cc753e79a49b90d73</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Design methodology</topic><topic>IIR filters</topic><topic>Stability criteria</topic><toplevel>online_resources</toplevel><creatorcontrib>Miyata, T.</creatorcontrib><creatorcontrib>Aikawa, N.</creatorcontrib><creatorcontrib>Sugita, Y.</creatorcontrib><creatorcontrib>Yoshikawa, T.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE/IET Electronic Library</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Miyata, T.</au><au>Aikawa, N.</au><au>Sugita, Y.</au><au>Yoshikawa, T.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>A design method for separable-denominator 2D IIR filters using a stability criterion based on the system matrix</atitle><btitle>2008 15th IEEE International Conference on Electronics, Circuits and Systems</btitle><stitle>ICECS</stitle><date>2008-08</date><risdate>2008</risdate><spage>826</spage><epage>829</epage><pages>826-829</pages><isbn>1424421810</isbn><isbn>9781424421817</isbn><eisbn>1424421829</eisbn><eisbn>9781424421824</eisbn><abstract>In this paper, we propose designing method for separable-denominator two-dimensional Infinite Impulse Response (IIR) filters (separable 2D IIR filters) by Successive Projection (SP) methods using a stability criterion based on the system matrix. It is generally known that separable 2D IIR filters are stable if and only if each of the denominators is stable. Therefore, the stability criteria of 1D IIR filters can be used for separable 2D IIR filters. A stability criterion based on the system matrix is a necessary and sufficient condition to guarantee stability in 1D IIR filters. Therefore, separable 2D IIR filters obtained by the proposed method have a smaller error ripple than those obtained by the conventional method.</abstract><pub>IEEE</pub><doi>10.1109/ICECS.2008.4674981</doi><tpages>4</tpages></addata></record>
fulltext fulltext_linktorsrc
identifier ISBN: 1424421810
ispartof 2008 15th IEEE International Conference on Electronics, Circuits and Systems, 2008, p.826-829
issn
language eng
recordid cdi_ieee_primary_4674981
source IEEE Electronic Library (IEL) Conference Proceedings
subjects Design methodology
IIR filters
Stability criteria
title A design method for separable-denominator 2D IIR filters using a stability criterion based on the system matrix
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-19T15%3A20%3A22IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ieee_6IE&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=A%20design%20method%20for%20separable-denominator%202D%20IIR%20filters%20using%20a%20stability%20criterion%20based%20on%20the%20system%20matrix&rft.btitle=2008%2015th%20IEEE%20International%20Conference%20on%20Electronics,%20Circuits%20and%20Systems&rft.au=Miyata,%20T.&rft.date=2008-08&rft.spage=826&rft.epage=829&rft.pages=826-829&rft.isbn=1424421810&rft.isbn_list=9781424421817&rft_id=info:doi/10.1109/ICECS.2008.4674981&rft.eisbn=1424421829&rft.eisbn_list=9781424421824&rft_dat=%3Cieee_6IE%3E4674981%3C/ieee_6IE%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-i90t-17417a066134a5145bb1d01d5f29dab359dcc1ce8ba83ea2cc753e79a49b90d73%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_ieee_id=4674981&rfr_iscdi=true