Derivative-controlled design of linear-phase FIR filters via waveform moments
A new method for designing linear-phase finite impulse response (FIR) filters is proposed by using the blockwise waveform moments. The proposed method yields linear-phase FIR filters whose magnitude response and its derivatives to a certain order take the prescribed values at equally spaced frequenc...
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| Veröffentlicht in: | IEEE transactions on signal processing 2003-10, Vol.51 (10), p.2559-2567 |
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| container_title | IEEE transactions on signal processing |
| container_volume | 51 |
| creator | Takei, Y. Nagato, K. Yoshikawa, T. Xi Zhang |
| description | A new method for designing linear-phase finite impulse response (FIR) filters is proposed by using the blockwise waveform moments. The proposed method yields linear-phase FIR filters whose magnitude response and its derivatives to a certain order take the prescribed values at equally spaced frequency points. The design procedure only needs to solve a system of linear equations, whose size is slightly smaller than the degree of the resulting filter. In addition, the inversion of the linear equations can be essentially precomputed. Therefore, the proposed design method is computationally efficient. In particular, for some important cases, i.e., the maximally flat R-regular L/sup th/-band FIR filters, a closed-form formula can be obtained. It is also shown that the resulting R-regular L/sup th/-band FIR filters have the zero intersymbol interference property. |
| doi_str_mv | 10.1109/TSP.2003.816862 |
| format | Article |
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The proposed method yields linear-phase FIR filters whose magnitude response and its derivatives to a certain order take the prescribed values at equally spaced frequency points. The design procedure only needs to solve a system of linear equations, whose size is slightly smaller than the degree of the resulting filter. In addition, the inversion of the linear equations can be essentially precomputed. Therefore, the proposed design method is computationally efficient. In particular, for some important cases, i.e., the maximally flat R-regular L/sup th/-band FIR filters, a closed-form formula can be obtained. It is also shown that the resulting R-regular L/sup th/-band FIR filters have the zero intersymbol interference property.</description><identifier>ISSN: 1053-587X</identifier><identifier>EISSN: 1941-0476</identifier><identifier>DOI: 10.1109/TSP.2003.816862</identifier><identifier>CODEN: ITPRED</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Cepstral analysis ; Computational efficiency ; Deconvolution ; Derivatives ; Design engineering ; Design methodology ; Detection, estimation, filtering, equalization, prediction ; Digital filters ; Equations ; Exact sciences and technology ; Finite impulse response filter ; FIR filters ; Frequency response ; Impulse response ; Information, signal and communications theory ; Intersymbol interference ; Linear equations ; Mathematical analysis ; Nonlinear filters ; Sensitivity analysis ; Signal and communications theory ; Signal, noise ; Telecommunications and information theory ; Waveforms</subject><ispartof>IEEE transactions on signal processing, 2003-10, Vol.51 (10), p.2559-2567</ispartof><rights>2003 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2003</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c379t-b3fa74333531ca4eac14184922ae1afb26330b7797ad1f60a160ce3ba2a741893</citedby><cites>FETCH-LOGICAL-c379t-b3fa74333531ca4eac14184922ae1afb26330b7797ad1f60a160ce3ba2a741893</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1232323$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,777,781,793,27905,27906,54739</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1232323$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=15123247$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Takei, Y.</creatorcontrib><creatorcontrib>Nagato, K.</creatorcontrib><creatorcontrib>Yoshikawa, T.</creatorcontrib><creatorcontrib>Xi Zhang</creatorcontrib><title>Derivative-controlled design of linear-phase FIR filters via waveform moments</title><title>IEEE transactions on signal processing</title><addtitle>TSP</addtitle><description>A new method for designing linear-phase finite impulse response (FIR) filters is proposed by using the blockwise waveform moments. The proposed method yields linear-phase FIR filters whose magnitude response and its derivatives to a certain order take the prescribed values at equally spaced frequency points. The design procedure only needs to solve a system of linear equations, whose size is slightly smaller than the degree of the resulting filter. In addition, the inversion of the linear equations can be essentially precomputed. Therefore, the proposed design method is computationally efficient. In particular, for some important cases, i.e., the maximally flat R-regular L/sup th/-band FIR filters, a closed-form formula can be obtained. It is also shown that the resulting R-regular L/sup th/-band FIR filters have the zero intersymbol interference property.</description><subject>Applied sciences</subject><subject>Cepstral analysis</subject><subject>Computational efficiency</subject><subject>Deconvolution</subject><subject>Derivatives</subject><subject>Design engineering</subject><subject>Design methodology</subject><subject>Detection, estimation, filtering, equalization, prediction</subject><subject>Digital filters</subject><subject>Equations</subject><subject>Exact sciences and technology</subject><subject>Finite impulse response filter</subject><subject>FIR filters</subject><subject>Frequency response</subject><subject>Impulse response</subject><subject>Information, signal and communications theory</subject><subject>Intersymbol interference</subject><subject>Linear equations</subject><subject>Mathematical analysis</subject><subject>Nonlinear filters</subject><subject>Sensitivity analysis</subject><subject>Signal and communications theory</subject><subject>Signal, noise</subject><subject>Telecommunications and information theory</subject><subject>Waveforms</subject><issn>1053-587X</issn><issn>1941-0476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kc9LHTEQx5eiUH-de-hlKVhP-8wk2U1yFKutoFiqQm9hXt6kjexunsm-J_735vEEoYcyhxmYz_cLM9-q-gRsBsDM6f3dzxlnTMw0dLrjH6o9MBIaJlW3U2bWiqbV6vfHaj_nR8ZAStPtVTffKIU1TmFNjYvjlGLf06JeUA5_xjr6ug8jYWqWfzFTfXn1q_ahnyjleh2wfsY1-ZiGeogDjVM-rHY99pmO3vpB9XB5cX_-o7m-_X51fnbdOKHM1MyFRyWFEK0Ah5LQgQQtDedIgH7OOyHYXCmjcAG-YwgdcyTmyIsMtBEH1cnWd5ni04ryZIeQHfU9jhRX2RoGndLA20J-_S_JNS_fankBv_wDPsZVGssVVmsJBpTYuJ1uIZdizom8XaYwYHqxwOwmBVtSsJsU7DaFojh-s8XssPcJRxfyu6wFLrhUhfu85QIRva_LspR4BYN6jt4</recordid><startdate>20031001</startdate><enddate>20031001</enddate><creator>Takei, Y.</creator><creator>Nagato, K.</creator><creator>Yoshikawa, T.</creator><creator>Xi Zhang</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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The proposed method yields linear-phase FIR filters whose magnitude response and its derivatives to a certain order take the prescribed values at equally spaced frequency points. The design procedure only needs to solve a system of linear equations, whose size is slightly smaller than the degree of the resulting filter. In addition, the inversion of the linear equations can be essentially precomputed. Therefore, the proposed design method is computationally efficient. In particular, for some important cases, i.e., the maximally flat R-regular L/sup th/-band FIR filters, a closed-form formula can be obtained. It is also shown that the resulting R-regular L/sup th/-band FIR filters have the zero intersymbol interference property.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TSP.2003.816862</doi><tpages>9</tpages></addata></record> |
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| subjects | Applied sciences Cepstral analysis Computational efficiency Deconvolution Derivatives Design engineering Design methodology Detection, estimation, filtering, equalization, prediction Digital filters Equations Exact sciences and technology Finite impulse response filter FIR filters Frequency response Impulse response Information, signal and communications theory Intersymbol interference Linear equations Mathematical analysis Nonlinear filters Sensitivity analysis Signal and communications theory Signal, noise Telecommunications and information theory Waveforms |
| title | Derivative-controlled design of linear-phase FIR filters via waveform moments |
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