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Conference Paper: The minimax design of digital all-pass filters with prescribed pole radius constraint using semidefinite programming (SDP)

TitleThe minimax design of digital all-pass filters with prescribed pole radius constraint using semidefinite programming (SDP)
Authors
Issue Date2003
Citation
Icassp, Ieee International Conference On Acoustics, Speech And Signal Processing - Proceedings, 2003, v. 6, p. 413-416 How to Cite?
AbstractThis paper proposes a new method for designing digital all-pass filters with a minimax design criterion using semidefinite programming (SDP). The frequency specification is first formulated as a set of linear matrix inequalities (LMI), which is a bilinear function of the filter coefficients and the ripple to be minimized. Unlike other all-pass filter design methods, additional linear constraints can be readily incorporated. The overall design problem turns out to be a quasi-convex constrained optimization problem (solved using the SDP) and it can be solved through a series of convex optimization sub-problems and the bisection search algorithm. The convergence of the algorithm is guaranteed. Nonlinear constraints such as the pole radius constraint of the filters can also formulated as LMIs using the Rouche's theorem. It was found that the pole radius constraint allows an additional tradeoff between the approximation error and the stability margin in finite wordlength implementation. The effectiveness of the proposed method is demonstrated by several design examples.
Persistent Identifierhttp://hdl.handle.net/10722/158368
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorPun, CKSen_US
dc.contributor.authorChan, SCen_US
dc.date.accessioned2012-08-08T08:59:17Z-
dc.date.available2012-08-08T08:59:17Z-
dc.date.issued2003en_US
dc.identifier.citationIcassp, Ieee International Conference On Acoustics, Speech And Signal Processing - Proceedings, 2003, v. 6, p. 413-416en_US
dc.identifier.issn0736-7791en_US
dc.identifier.urihttp://hdl.handle.net/10722/158368-
dc.description.abstractThis paper proposes a new method for designing digital all-pass filters with a minimax design criterion using semidefinite programming (SDP). The frequency specification is first formulated as a set of linear matrix inequalities (LMI), which is a bilinear function of the filter coefficients and the ripple to be minimized. Unlike other all-pass filter design methods, additional linear constraints can be readily incorporated. The overall design problem turns out to be a quasi-convex constrained optimization problem (solved using the SDP) and it can be solved through a series of convex optimization sub-problems and the bisection search algorithm. The convergence of the algorithm is guaranteed. Nonlinear constraints such as the pole radius constraint of the filters can also formulated as LMIs using the Rouche's theorem. It was found that the pole radius constraint allows an additional tradeoff between the approximation error and the stability margin in finite wordlength implementation. The effectiveness of the proposed method is demonstrated by several design examples.en_US
dc.languageengen_US
dc.relation.ispartofICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedingsen_US
dc.titleThe minimax design of digital all-pass filters with prescribed pole radius constraint using semidefinite programming (SDP)en_US
dc.typeConference_Paperen_US
dc.identifier.emailChan, SC:scchan@eee.hku.hken_US
dc.identifier.authorityChan, SC=rp00094en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0141854158en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0141854158&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume6en_US
dc.identifier.spage413en_US
dc.identifier.epage416en_US
dc.identifier.scopusauthoridPun, CKS=7003931849en_US
dc.identifier.scopusauthoridChan, SC=13310287100en_US

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