Design of Robust D-Stable IIR Filters Using Genetic Algorithms With Embedded Stability Criterion
This paper proposes a novel evolution strategy for a genetic algorithm (GA). This new algorithm is then applied to design robust D (alpha, r )-stable infinite-impulse-response (IIR) filters. Unlike existing research on designing IIR filters by using GA, in which the stability of IIR filters is teste...
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| Veröffentlicht in: | IEEE transactions on signal processing 2009-08, Vol.57 (8), p.3008-3016 |
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| creator | PAN, Shing-Tai |
| description | This paper proposes a novel evolution strategy for a genetic algorithm (GA). This new algorithm is then applied to design robust D (alpha, r )-stable infinite-impulse-response (IIR) filters. Unlike existing research on designing IIR filters by using GA, in which the stability of IIR filters is tested by trial and error after the evolution of each generation of a GA, the stability criterion in this paper is embedded within the evolution of each generation. Consequently, the stability of this system can be guaranteed without the need for any other checks of the stability criterion in the evolution of each generation. Numerical experimental results are discussed to illustrate the soundness of the proposed evolution strategy. The robustness of the IIR filters is achieved by ensuring that all poles of the filters are located inside a disk D (alpha, r ) contained in the unit circle, in which alpha is the center, r is the radius of the disk and IalphaI +r < 1 . So, in this paper, a D (alpha, r )-stability criterion will be first derived and then embedded in the GA for the design of robust IIR filters. Finally, two examples will be presented to show that the designed filters remain D (alpha, r )-stable during the evolution of the GA and will provide satisfactory results. |
| doi_str_mv | 10.1109/TSP.2009.2017003 |
| format | Article |
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This new algorithm is then applied to design robust D (alpha, r )-stable infinite-impulse-response (IIR) filters. Unlike existing research on designing IIR filters by using GA, in which the stability of IIR filters is tested by trial and error after the evolution of each generation of a GA, the stability criterion in this paper is embedded within the evolution of each generation. Consequently, the stability of this system can be guaranteed without the need for any other checks of the stability criterion in the evolution of each generation. Numerical experimental results are discussed to illustrate the soundness of the proposed evolution strategy. The robustness of the IIR filters is achieved by ensuring that all poles of the filters are located inside a disk D (alpha, r ) contained in the unit circle, in which alpha is the center, r is the radius of the disk and IalphaI +r < 1 . So, in this paper, a D (alpha, r )-stability criterion will be first derived and then embedded in the GA for the design of robust IIR filters. Finally, two examples will be presented to show that the designed filters remain D (alpha, r )-stable during the evolution of the GA and will provide satisfactory results.</description><identifier>ISSN: 1053-587X</identifier><identifier>EISSN: 1941-0476</identifier><identifier>DOI: 10.1109/TSP.2009.2017003</identifier><identifier>CODEN: ITPRED</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Adaptive filters ; Algorithm design and analysis ; Applied sciences ; Atmosphere ; Criteria ; D(\alpha ; Design engineering ; Detection, estimation, filtering, equalization, prediction ; Digital signal processing ; Disk filters ; Evolution ; Exact sciences and technology ; genetic algorithm ; Genetic algorithms ; IIR filters ; infinite-impulse-response (IIR) filter ; Information, signal and communications theory ; Miscellaneous ; Quadratic programming ; r) -stability criterion ; Robust stability ; Robustness ; Signal and communications theory ; Signal processing ; Signal processing algorithms ; Signal, noise ; Stability ; Stability criteria ; Strategy ; Studies ; Telecommunications and information theory</subject><ispartof>IEEE transactions on signal processing, 2009-08, Vol.57 (8), p.3008-3016</ispartof><rights>2009 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c353t-df10fcc8ce6351bea16e09fd0227731fe6367c225c96ef39c9d7bc90e0fb50653</citedby><cites>FETCH-LOGICAL-c353t-df10fcc8ce6351bea16e09fd0227731fe6367c225c96ef39c9d7bc90e0fb50653</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4799141$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4799141$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21766396$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>PAN, Shing-Tai</creatorcontrib><title>Design of Robust D-Stable IIR Filters Using Genetic Algorithms With Embedded Stability Criterion</title><title>IEEE transactions on signal processing</title><addtitle>TSP</addtitle><description>This paper proposes a novel evolution strategy for a genetic algorithm (GA). This new algorithm is then applied to design robust D (alpha, r )-stable infinite-impulse-response (IIR) filters. Unlike existing research on designing IIR filters by using GA, in which the stability of IIR filters is tested by trial and error after the evolution of each generation of a GA, the stability criterion in this paper is embedded within the evolution of each generation. Consequently, the stability of this system can be guaranteed without the need for any other checks of the stability criterion in the evolution of each generation. Numerical experimental results are discussed to illustrate the soundness of the proposed evolution strategy. The robustness of the IIR filters is achieved by ensuring that all poles of the filters are located inside a disk D (alpha, r ) contained in the unit circle, in which alpha is the center, r is the radius of the disk and IalphaI +r < 1 . So, in this paper, a D (alpha, r )-stability criterion will be first derived and then embedded in the GA for the design of robust IIR filters. Finally, two examples will be presented to show that the designed filters remain D (alpha, r )-stable during the evolution of the GA and will provide satisfactory results.</description><subject>Adaptive filters</subject><subject>Algorithm design and analysis</subject><subject>Applied sciences</subject><subject>Atmosphere</subject><subject>Criteria</subject><subject>D(\alpha</subject><subject>Design engineering</subject><subject>Detection, estimation, filtering, equalization, prediction</subject><subject>Digital signal processing</subject><subject>Disk filters</subject><subject>Evolution</subject><subject>Exact sciences and technology</subject><subject>genetic algorithm</subject><subject>Genetic algorithms</subject><subject>IIR filters</subject><subject>infinite-impulse-response (IIR) filter</subject><subject>Information, signal and communications theory</subject><subject>Miscellaneous</subject><subject>Quadratic programming</subject><subject>r) -stability criterion</subject><subject>Robust stability</subject><subject>Robustness</subject><subject>Signal and communications theory</subject><subject>Signal processing</subject><subject>Signal processing algorithms</subject><subject>Signal, noise</subject><subject>Stability</subject><subject>Stability criteria</subject><subject>Strategy</subject><subject>Studies</subject><subject>Telecommunications and information theory</subject><issn>1053-587X</issn><issn>1941-0476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkM1Lw0AQxYMoWKt3wcsiCF5SZ7LJbvco9atQUFpFb2uyma0raaK76cH_3i0tHrzMDDO_9xhekpwijBBBXT0vnkYZgIoFJQDfSwaockwhl2I_zlDwtBjLt8PkKIRPAMxzJQbJ-w0Ft2xZZ9m8q9ahZzfpoi-rhth0Omd3runJB_YSXLtk99RS7wy7bpadd_3HKrDX2NjtqqK6ppptlK5x_Q-bxDt517XHyYEtm0Anuz5MXu5unycP6ezxfjq5nqWGF7xPa4tgjRkbErzAikoUBMrWkGVScrRxLaTJssIoQZYro2pZGQUEtipAFHyYXG59v3z3vabQ65ULhpqmbKlbB41CYpZLzDfo-T_0s1v7Nn6nxwKRc-QyQrCFjO9C8GT1l3er0v9oBL1JXMfE9SZxvUs8Si52vmUwZWN92RoX_nQZSiG4EpE723KOiP7OuVQKc-S_oOyIew</recordid><startdate>20090801</startdate><enddate>20090801</enddate><creator>PAN, Shing-Tai</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>20090801</creationdate><title>Design of Robust D-Stable IIR Filters Using Genetic Algorithms With Embedded Stability Criterion</title><author>PAN, Shing-Tai</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c353t-df10fcc8ce6351bea16e09fd0227731fe6367c225c96ef39c9d7bc90e0fb50653</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Adaptive filters</topic><topic>Algorithm design and analysis</topic><topic>Applied sciences</topic><topic>Atmosphere</topic><topic>Criteria</topic><topic>D(\alpha</topic><topic>Design engineering</topic><topic>Detection, estimation, filtering, equalization, prediction</topic><topic>Digital signal processing</topic><topic>Disk filters</topic><topic>Evolution</topic><topic>Exact sciences and technology</topic><topic>genetic algorithm</topic><topic>Genetic algorithms</topic><topic>IIR filters</topic><topic>infinite-impulse-response (IIR) filter</topic><topic>Information, signal and communications theory</topic><topic>Miscellaneous</topic><topic>Quadratic programming</topic><topic>r) -stability criterion</topic><topic>Robust stability</topic><topic>Robustness</topic><topic>Signal and communications theory</topic><topic>Signal processing</topic><topic>Signal processing algorithms</topic><topic>Signal, noise</topic><topic>Stability</topic><topic>Stability criteria</topic><topic>Strategy</topic><topic>Studies</topic><topic>Telecommunications and information theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>PAN, Shing-Tai</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>IEEE transactions on signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>PAN, Shing-Tai</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Design of Robust D-Stable IIR Filters Using Genetic Algorithms With Embedded Stability Criterion</atitle><jtitle>IEEE transactions on signal processing</jtitle><stitle>TSP</stitle><date>2009-08-01</date><risdate>2009</risdate><volume>57</volume><issue>8</issue><spage>3008</spage><epage>3016</epage><pages>3008-3016</pages><issn>1053-587X</issn><eissn>1941-0476</eissn><coden>ITPRED</coden><abstract>This paper proposes a novel evolution strategy for a genetic algorithm (GA). This new algorithm is then applied to design robust D (alpha, r )-stable infinite-impulse-response (IIR) filters. Unlike existing research on designing IIR filters by using GA, in which the stability of IIR filters is tested by trial and error after the evolution of each generation of a GA, the stability criterion in this paper is embedded within the evolution of each generation. Consequently, the stability of this system can be guaranteed without the need for any other checks of the stability criterion in the evolution of each generation. Numerical experimental results are discussed to illustrate the soundness of the proposed evolution strategy. The robustness of the IIR filters is achieved by ensuring that all poles of the filters are located inside a disk D (alpha, r ) contained in the unit circle, in which alpha is the center, r is the radius of the disk and IalphaI +r < 1 . So, in this paper, a D (alpha, r )-stability criterion will be first derived and then embedded in the GA for the design of robust IIR filters. Finally, two examples will be presented to show that the designed filters remain D (alpha, r )-stable during the evolution of the GA and will provide satisfactory results.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TSP.2009.2017003</doi><tpages>9</tpages></addata></record> |
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| subjects | Adaptive filters Algorithm design and analysis Applied sciences Atmosphere Criteria D(\alpha Design engineering Detection, estimation, filtering, equalization, prediction Digital signal processing Disk filters Evolution Exact sciences and technology genetic algorithm Genetic algorithms IIR filters infinite-impulse-response (IIR) filter Information, signal and communications theory Miscellaneous Quadratic programming r) -stability criterion Robust stability Robustness Signal and communications theory Signal processing Signal processing algorithms Signal, noise Stability Stability criteria Strategy Studies Telecommunications and information theory |
| title | Design of Robust D-Stable IIR Filters Using Genetic Algorithms With Embedded Stability Criterion |
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