Low-order IIR filter bank design
The advantage of infinite-impulse response (IIR) filters over finite-impulse response (FIR) ones is that the former require a much lower order (much fewer multipliers and adders) to obtain the desired response specifications. However, in contrast with well-developed FIR filter bank design theory, th...
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| Veröffentlicht in: | IEEE transactions on circuits and systems. 1, Fundamental theory and applications Fundamental theory and applications, 2005-08, Vol.52 (8), p.1673-1683 |
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| container_title | IEEE transactions on circuits and systems. 1, Fundamental theory and applications |
| container_volume | 52 |
| creator | Hoang Duong Tuan Son, T.T. Apkarian, P. Nguyen, T.Q. |
| description | The advantage of infinite-impulse response (IIR) filters over finite-impulse response (FIR) ones is that the former require a much lower order (much fewer multipliers and adders) to obtain the desired response specifications. However, in contrast with well-developed FIR filter bank design theory, there is no satisfactory methodology for IIR filter bank design. The well-known IIR filters are mostly derived by rather heuristic techniques, which work in only narrow design classes. The existing deterministic techniques usually lead to too high order IIR filters and thus cannot be practically used. In this paper, we propose a new method to solve the low-order IIR filter bank design, which is based on tractable linear-matrix inequality (LMI) optimization. Our focus is the quadrature mirror filter bank design, although other IIR filter related problems can be treated and solved in a similar way. The viability of our theoretical development is confirmed by extensive simulation. |
| doi_str_mv | 10.1109/TCSI.2005.851673 |
| format | Article |
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However, in contrast with well-developed FIR filter bank design theory, there is no satisfactory methodology for IIR filter bank design. The well-known IIR filters are mostly derived by rather heuristic techniques, which work in only narrow design classes. The existing deterministic techniques usually lead to too high order IIR filters and thus cannot be practically used. In this paper, we propose a new method to solve the low-order IIR filter bank design, which is based on tractable linear-matrix inequality (LMI) optimization. Our focus is the quadrature mirror filter bank design, although other IIR filter related problems can be treated and solved in a similar way. 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(IEEE) 2005</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c321t-4cc7e94256e0e266ed7bd9669fc01bd268bc1fbe4478039d2cb970c25c013e793</citedby><cites>FETCH-LOGICAL-c321t-4cc7e94256e0e266ed7bd9669fc01bd268bc1fbe4478039d2cb970c25c013e793</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1495733$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27922,27923,54756</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1495733$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Hoang Duong Tuan</creatorcontrib><creatorcontrib>Son, T.T.</creatorcontrib><creatorcontrib>Apkarian, P.</creatorcontrib><creatorcontrib>Nguyen, T.Q.</creatorcontrib><title>Low-order IIR filter bank design</title><title>IEEE transactions on circuits and systems. 1, Fundamental theory and applications</title><addtitle>TCSI</addtitle><description>The advantage of infinite-impulse response (IIR) filters over finite-impulse response (FIR) ones is that the former require a much lower order (much fewer multipliers and adders) to obtain the desired response specifications. 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The viability of our theoretical development is confirmed by extensive simulation.</description><subject>Adders</subject><subject>Design optimization</subject><subject>Filter bank</subject><subject>Finite impulse response filter</subject><subject>Focusing</subject><subject>IIR filters</subject><subject>Image reconstruction</subject><subject>Infinite-impulse response (IIR) filter bank</subject><subject>linear-matrix inequality (LMI)</subject><subject>Mirrors</subject><subject>Riccati equations</subject><issn>1549-8328</issn><issn>1057-7122</issn><issn>1558-0806</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkE1LxDAQhoMouK7eBS_Fg7fWyWeToxQ_CguCrufQplPp2m3XZBfx35tSQfA0L8zzDsNDyCWFjFIwt-vitcwYgMy0pCrnR2RBpdQpaFDHUxYm1ZzpU3IWwgaAGeB0QZLV-JWOvkGflOVL0nb9Psa6Gj6SBkP3PpyTk7bqA178ziV5e7hfF0_p6vmxLO5WqeOM7lPhXI5GMKkQkCmFTV43RinTOqB1w5SuHW1rFCLXwE3DXG1ycEzGNcfc8CW5me_u_Ph5wLC32y447PtqwPEQLIs1JQyN4PU_cDMe_BB_s1pzAYrDBMEMOT-G4LG1O99tK_9tKdjJl5182cmXnX3FytVc6RDxDxdGxiX_AS0pY54</recordid><startdate>20050801</startdate><enddate>20050801</enddate><creator>Hoang Duong Tuan</creator><creator>Son, T.T.</creator><creator>Apkarian, P.</creator><creator>Nguyen, T.Q.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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However, in contrast with well-developed FIR filter bank design theory, there is no satisfactory methodology for IIR filter bank design. The well-known IIR filters are mostly derived by rather heuristic techniques, which work in only narrow design classes. The existing deterministic techniques usually lead to too high order IIR filters and thus cannot be practically used. In this paper, we propose a new method to solve the low-order IIR filter bank design, which is based on tractable linear-matrix inequality (LMI) optimization. Our focus is the quadrature mirror filter bank design, although other IIR filter related problems can be treated and solved in a similar way. The viability of our theoretical development is confirmed by extensive simulation.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TCSI.2005.851673</doi><tpages>11</tpages></addata></record> |
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| subjects | Adders Design optimization Filter bank Finite impulse response filter Focusing IIR filters Image reconstruction Infinite-impulse response (IIR) filter bank linear-matrix inequality (LMI) Mirrors Riccati equations |
| title | Low-order IIR filter bank design |
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