A new generalized energy criterion for the passivity of digital networks
A general passivity criterion for digital networks is introduced. Digital networks that meet this criterion form a stable and useful class of networks. The networks in this class have properties similar to passive analog networks. These networks are all stable, and some networks, including all linea...
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Veröffentlicht in: | IEEE transactions on signal processing 1997-08, Vol.45 (8), p.1909-1918 |
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container_title | IEEE transactions on signal processing |
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creator | Bush, J.A. Basu, S. Chirlian, P.M. |
description | A general passivity criterion for digital networks is introduced. Digital networks that meet this criterion form a stable and useful class of networks. The networks in this class have properties similar to passive analog networks. These networks are all stable, and some networks, including all linear networks, are shown to have restricted gain. The gain restriction can be used to design filters that are insensitive to changes in multiplier values at frequencies of maximum gain. Emerging directly from this criterion is a procedure for interconnecting simple networks to form a complex passive network. These networks remain stable after the introduction of rounding following multiplications so that these networks do not exhibit limit cycle oscillations. |
doi_str_mv | 10.1109/78.611183 |
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Digital networks that meet this criterion form a stable and useful class of networks. The networks in this class have properties similar to passive analog networks. These networks are all stable, and some networks, including all linear networks, are shown to have restricted gain. The gain restriction can be used to design filters that are insensitive to changes in multiplier values at frequencies of maximum gain. Emerging directly from this criterion is a procedure for interconnecting simple networks to form a complex passive network. These networks remain stable after the introduction of rounding following multiplications so that these networks do not exhibit limit cycle oscillations.</description><identifier>ISSN: 1053-587X</identifier><identifier>EISSN: 1941-0476</identifier><identifier>DOI: 10.1109/78.611183</identifier><identifier>CODEN: ITPRED</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Digital filters ; Electric, optical and optoelectronic circuits ; Electronics ; Exact sciences and technology ; Frequency ; Limit-cycles ; Network synthesis ; Network topology ; Passive filters ; Passive networks ; Stability ; Steady-state ; Theoretical study. Circuits analysis and design</subject><ispartof>IEEE transactions on signal processing, 1997-08, Vol.45 (8), p.1909-1918</ispartof><rights>1997 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c306t-fedc29c44fc9a24d11e145996f9f1e677fe92aa1be50fa9b39066a5980d0b9363</citedby><cites>FETCH-LOGICAL-c306t-fedc29c44fc9a24d11e145996f9f1e677fe92aa1be50fa9b39066a5980d0b9363</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/611183$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/611183$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=2788584$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Bush, J.A.</creatorcontrib><creatorcontrib>Basu, S.</creatorcontrib><creatorcontrib>Chirlian, P.M.</creatorcontrib><title>A new generalized energy criterion for the passivity of digital networks</title><title>IEEE transactions on signal processing</title><addtitle>TSP</addtitle><description>A general passivity criterion for digital networks is introduced. Digital networks that meet this criterion form a stable and useful class of networks. The networks in this class have properties similar to passive analog networks. These networks are all stable, and some networks, including all linear networks, are shown to have restricted gain. The gain restriction can be used to design filters that are insensitive to changes in multiplier values at frequencies of maximum gain. Emerging directly from this criterion is a procedure for interconnecting simple networks to form a complex passive network. These networks remain stable after the introduction of rounding following multiplications so that these networks do not exhibit limit cycle oscillations.</description><subject>Applied sciences</subject><subject>Digital filters</subject><subject>Electric, optical and optoelectronic circuits</subject><subject>Electronics</subject><subject>Exact sciences and technology</subject><subject>Frequency</subject><subject>Limit-cycles</subject><subject>Network synthesis</subject><subject>Network topology</subject><subject>Passive filters</subject><subject>Passive networks</subject><subject>Stability</subject><subject>Steady-state</subject><subject>Theoretical study. Circuits analysis and design</subject><issn>1053-587X</issn><issn>1941-0476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><recordid>eNo9kD1PwzAURS0EEqUwsDJ5QEgMKX6J44-xqoAiVWIBiS1ynediSJNip1Th15MqVad3pXfuGS4h18AmAEw_SDURAKCyEzICzSFhXIrTPrM8S3IlP87JRYxfjAHnWozIfEpr3NEV1hhM5f-wpPu46qgNvsXgm5q6JtD2E-nGxOh_fdvRxtHSr3xrqr7d7prwHS_JmTNVxKvDHZP3p8e32TxZvD6_zKaLxGZMtInD0qbacu6sNikvARB4rrVw2gEKKR3q1BhYYs6c0ctMMyFMrhUr2VJnIhuTu8G7Cc3PFmNbrH20WFWmxmYbi1TlIIXYg_cDaEMTY0BXbIJfm9AVwIr9VoVUxbBVz94epCZaU7lgauvjsZBKpXLFe-xmwDwiHr8Hxz-VanEb</recordid><startdate>19970801</startdate><enddate>19970801</enddate><creator>Bush, J.A.</creator><creator>Basu, S.</creator><creator>Chirlian, P.M.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>19970801</creationdate><title>A new generalized energy criterion for the passivity of digital networks</title><author>Bush, J.A. ; Basu, S. ; Chirlian, P.M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c306t-fedc29c44fc9a24d11e145996f9f1e677fe92aa1be50fa9b39066a5980d0b9363</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>Applied sciences</topic><topic>Digital filters</topic><topic>Electric, optical and optoelectronic circuits</topic><topic>Electronics</topic><topic>Exact sciences and technology</topic><topic>Frequency</topic><topic>Limit-cycles</topic><topic>Network synthesis</topic><topic>Network topology</topic><topic>Passive filters</topic><topic>Passive networks</topic><topic>Stability</topic><topic>Steady-state</topic><topic>Theoretical study. Circuits analysis and design</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bush, J.A.</creatorcontrib><creatorcontrib>Basu, S.</creatorcontrib><creatorcontrib>Chirlian, P.M.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems 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><jtitle>IEEE transactions on signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bush, J.A.</au><au>Basu, S.</au><au>Chirlian, P.M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A new generalized energy criterion for the passivity of digital networks</atitle><jtitle>IEEE transactions on signal processing</jtitle><stitle>TSP</stitle><date>1997-08-01</date><risdate>1997</risdate><volume>45</volume><issue>8</issue><spage>1909</spage><epage>1918</epage><pages>1909-1918</pages><issn>1053-587X</issn><eissn>1941-0476</eissn><coden>ITPRED</coden><abstract>A general passivity criterion for digital networks is introduced. Digital networks that meet this criterion form a stable and useful class of networks. The networks in this class have properties similar to passive analog networks. These networks are all stable, and some networks, including all linear networks, are shown to have restricted gain. The gain restriction can be used to design filters that are insensitive to changes in multiplier values at frequencies of maximum gain. Emerging directly from this criterion is a procedure for interconnecting simple networks to form a complex passive network. These networks remain stable after the introduction of rounding following multiplications so that these networks do not exhibit limit cycle oscillations.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/78.611183</doi><tpages>10</tpages></addata></record> |
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issn | 1053-587X 1941-0476 |
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subjects | Applied sciences Digital filters Electric, optical and optoelectronic circuits Electronics Exact sciences and technology Frequency Limit-cycles Network synthesis Network topology Passive filters Passive networks Stability Steady-state Theoretical study. Circuits analysis and design |
title | A new generalized energy criterion for the passivity of digital networks |
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