Design of high-order Chebyshev FIR filters in the complex domain under magnitude constraints

This article discusses the design of FIR filters that approximate a complex-valued target frequency response in a Chebyshev sense. Additionally, the required stopband attenuation can be specified. Solving the dual of a semi-infinite linear program is currently the most efficient way to design such f...

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Veröffentlicht in:	IEEE transactions on signal processing 1998-06, Vol.46 (6), p.1676-1681
1. Verfasser:	Vuerinckx, R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Attenuation Chebyshev approximation Detection, estimation, filtering, equalization, prediction Digital filters Equalizers Exact sciences and technology Finite impulse response filter Frequency response Information, signal and communications theory Minimax techniques Nonlinear filters Numerical stability Signal and communications theory Signal processing algorithms Signal, noise Telecommunications and information theory
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container_title	IEEE transactions on signal processing
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description	This article discusses the design of FIR filters that approximate a complex-valued target frequency response in a Chebyshev sense. Additionally, the required stopband attenuation can be specified. Solving the dual of a semi-infinite linear program is currently the most efficient way to design such filters, but numerical problems prevent the design of high-order FIR filters. Modifications are proposed to overcome this limitation. Furthermore, an efficient method is presented for generating starting values that are close to the optimal solution such that the number of iterations is considerably reduced. Examples of filters with a length up to 250 taps are included.
doi_str_mv	10.1109/78.678488
format	Article
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Examples of filters with a length up to 250 taps are included.</description><subject>Applied sciences</subject><subject>Attenuation</subject><subject>Chebyshev approximation</subject><subject>Detection, estimation, filtering, equalization, prediction</subject><subject>Digital filters</subject><subject>Equalizers</subject><subject>Exact sciences and technology</subject><subject>Finite impulse response filter</subject><subject>Frequency response</subject><subject>Information, signal and communications theory</subject><subject>Minimax techniques</subject><subject>Nonlinear filters</subject><subject>Numerical stability</subject><subject>Signal and communications theory</subject><subject>Signal processing algorithms</subject><subject>Signal, noise</subject><subject>Telecommunications and information theory</subject><issn>1053-587X</issn><issn>1941-0476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kE1LAzEQhoMoWKsHr55yEMHD1iSb3aRHqVYLBUEUPAhLNpl0I_tRk12x_96ULZ5mmPeZ9_AgdEnJjFIyvxNylgvJpTxCEzrnNCFc5MdxJ1maZFJ8nKKzEL4IoZzP8wn6fIDgNi3uLK7cpko6b8DjRQXlLlTwg5erV2xd3YMP2LW4rwDrrtnW8ItN16h4Gtr9R6M2resHs4_b0PuY9OEcnVhVB7g4zCl6Xz6-LZ6T9cvTanG_TnRK8j4RxBiuM6YtMVIYU1rQEjIyZ1SRUmQkF5YZQXIQIDJNjc0t1Sm1vGRKSptO0c3Yu_Xd9wChLxoXNNS1aqEbQsEk41EGj-DtCGrfheDBFlvvGuV3BSXF3l8hZDH6i-z1oVQFrWrrVatd-H9gaTQrWcSuRswBwH966PgDC8R4sQ</recordid><startdate>19980601</startdate><enddate>19980601</enddate><creator>Vuerinckx, R.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>RIA</scope><scope>RIE</scope><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>19980601</creationdate><title>Design of high-order Chebyshev FIR filters in the complex domain under magnitude constraints</title><author>Vuerinckx, R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c306t-70dd4c52cf0d87ddbfec8e50921a0b75067f2d706e7e75c1df6f1c31f4b2a88f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Applied sciences</topic><topic>Attenuation</topic><topic>Chebyshev approximation</topic><topic>Detection, estimation, filtering, equalization, prediction</topic><topic>Digital filters</topic><topic>Equalizers</topic><topic>Exact sciences and technology</topic><topic>Finite impulse response filter</topic><topic>Frequency response</topic><topic>Information, signal and communications theory</topic><topic>Minimax techniques</topic><topic>Nonlinear filters</topic><topic>Numerical stability</topic><topic>Signal and communications theory</topic><topic>Signal processing algorithms</topic><topic>Signal, noise</topic><topic>Telecommunications and information theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vuerinckx, R.</creatorcontrib><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>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>Vuerinckx, R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Design of high-order Chebyshev FIR filters in the complex domain under magnitude constraints</atitle><jtitle>IEEE transactions on signal processing</jtitle><stitle>TSP</stitle><date>1998-06-01</date><risdate>1998</risdate><volume>46</volume><issue>6</issue><spage>1676</spage><epage>1681</epage><pages>1676-1681</pages><issn>1053-587X</issn><eissn>1941-0476</eissn><coden>ITPRED</coden><abstract>This article discusses the design of FIR filters that approximate a complex-valued target frequency response in a Chebyshev sense. 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subjects	Applied sciences Attenuation Chebyshev approximation Detection, estimation, filtering, equalization, prediction Digital filters Equalizers Exact sciences and technology Finite impulse response filter Frequency response Information, signal and communications theory Minimax techniques Nonlinear filters Numerical stability Signal and communications theory Signal processing algorithms Signal, noise Telecommunications and information theory
title	Design of high-order Chebyshev FIR filters in the complex domain under magnitude constraints
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