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Article: The design of digital all-pass filters using second-order cone programming (SOCP)
Title | The design of digital all-pass filters using second-order cone programming (SOCP) |
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Authors | |
Keywords | All-pass digital filter Bisection Rouche's theorem Second-order cone programming (SOCP) |
Issue Date | 2005 |
Publisher | IEEE. |
Citation | Ieee Transactions On Circuits And Systems Ii: Express Briefs, 2005, v. 52 n. 2, p. 66-70 How to Cite? |
Abstract | This brief proposes a new method for designing digital all-pass filters with a minimax design criterion using second-order cone programming (SOCP). Unlike other all-pass filter design methods, additional linear constraints can be readily incorporated. The overall design problem can be solved through a series of linear programming subproblems and the bisection search algorithm. The convergence of the algorithm is guaranteed. Nonlinear constraints such as the pole radius constraint of the filters can be formulated as additional SOCP constraints using Rouche's theorem. It was found that the pole radius constraint allows an additional tradeoff between the approximation error and the stability margin. The effectiveness of the proposed method is demonstrated by several design examples and comparison with conventional methods. © 2005 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/44720 |
ISSN | |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Chan, SC | en_HK |
dc.contributor.author | Chen, HH | en_HK |
dc.contributor.author | Pun, CKS | en_HK |
dc.date.accessioned | 2007-10-30T06:08:42Z | - |
dc.date.available | 2007-10-30T06:08:42Z | - |
dc.date.issued | 2005 | en_HK |
dc.identifier.citation | Ieee Transactions On Circuits And Systems Ii: Express Briefs, 2005, v. 52 n. 2, p. 66-70 | en_HK |
dc.identifier.issn | 1057-7130 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/44720 | - |
dc.description.abstract | This brief proposes a new method for designing digital all-pass filters with a minimax design criterion using second-order cone programming (SOCP). Unlike other all-pass filter design methods, additional linear constraints can be readily incorporated. The overall design problem can be solved through a series of linear programming subproblems and the bisection search algorithm. The convergence of the algorithm is guaranteed. Nonlinear constraints such as the pole radius constraint of the filters can be formulated as additional SOCP constraints using Rouche's theorem. It was found that the pole radius constraint allows an additional tradeoff between the approximation error and the stability margin. The effectiveness of the proposed method is demonstrated by several design examples and comparison with conventional methods. © 2005 IEEE. | en_HK |
dc.format.extent | 306321 bytes | - |
dc.format.extent | 27162 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | text/plain | - |
dc.language | eng | en_HK |
dc.publisher | IEEE. | en_HK |
dc.relation.ispartof | IEEE Transactions on Circuits and Systems II: Express Briefs | en_HK |
dc.rights | ©2005 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. | - |
dc.subject | All-pass digital filter | en_HK |
dc.subject | Bisection | en_HK |
dc.subject | Rouche's theorem | en_HK |
dc.subject | Second-order cone programming (SOCP) | en_HK |
dc.title | The design of digital all-pass filters using second-order cone programming (SOCP) | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1549-7747&volume=52&issue=2&spage=66&epage=70&date=2005&atitle=The+design+of+digital+all-pass+filters+using+second-order+cone+programming+(SOCP) | en_HK |
dc.identifier.email | Chan, SC:scchan@eee.hku.hk | en_HK |
dc.identifier.authority | Chan, SC=rp00094 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1109/TCSII.2004.840285 | en_HK |
dc.identifier.scopus | eid_2-s2.0-14744274474 | en_HK |
dc.identifier.hkuros | 102826 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-14744274474&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 52 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 66 | en_HK |
dc.identifier.epage | 70 | en_HK |
dc.identifier.isi | WOS:000226942700002 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Chan, SC=13310287100 | en_HK |
dc.identifier.scopusauthorid | Chen, HH=35188516400 | en_HK |
dc.identifier.scopusauthorid | Pun, CKS=7003931849 | en_HK |
dc.identifier.issnl | 1057-7130 | - |