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Conference Paper: The design of a class of prefect reconstruction two-channel FIR and wavelets filterbanks using constrained least squares method and semidefinite programming

TitleThe design of a class of prefect reconstruction two-channel FIR and wavelets filterbanks using constrained least squares method and semidefinite programming
Authors
Issue Date2002
PublisherIEEE.
Citation
The 14th International Conference on Digital Signal Processing, Santorini, Greece, 1-3 July 2002, v. 2, p. 497-500 How to Cite?
AbstractThis paper proposes two new methods for designing a class of 2-channel PR FIR filterbanks and wavelets with K-regularity of high order. The K-regularity constraints are expressed as a set of linear constraints in the design variables. The first method formulates the design problem as a quadratic programming problem with linear equality constraints (QPLC), which can be solved using the method of Lagrange multiplier. The second design method employs the minimax error criteria and solves the design problem as a semidefinite programming problem (SDP). By removing the redundant variables, the equality constraints are automatically imposed into the design problem. The optimization problem is then formulated as a linear convex objective function subject to a union of affine set which can be represented by a set of linear matrix inequalities. Hence they can be solved using existing SDP solver. Design examples are given to demonstrate the effectiveness of the proposed methods.
Persistent Identifierhttp://hdl.handle.net/10722/46389

 

DC FieldValueLanguage
dc.contributor.authorChan, SCen_HK
dc.contributor.authorPun, CKSen_HK
dc.contributor.authorHo, KLen_HK
dc.date.accessioned2007-10-30T06:48:50Z-
dc.date.available2007-10-30T06:48:50Z-
dc.date.issued2002en_HK
dc.identifier.citationThe 14th International Conference on Digital Signal Processing, Santorini, Greece, 1-3 July 2002, v. 2, p. 497-500en_HK
dc.identifier.urihttp://hdl.handle.net/10722/46389-
dc.description.abstractThis paper proposes two new methods for designing a class of 2-channel PR FIR filterbanks and wavelets with K-regularity of high order. The K-regularity constraints are expressed as a set of linear constraints in the design variables. The first method formulates the design problem as a quadratic programming problem with linear equality constraints (QPLC), which can be solved using the method of Lagrange multiplier. The second design method employs the minimax error criteria and solves the design problem as a semidefinite programming problem (SDP). By removing the redundant variables, the equality constraints are automatically imposed into the design problem. The optimization problem is then formulated as a linear convex objective function subject to a union of affine set which can be represented by a set of linear matrix inequalities. Hence they can be solved using existing SDP solver. Design examples are given to demonstrate the effectiveness of the proposed methods.en_HK
dc.format.extent330735 bytes-
dc.format.extent8028 bytes-
dc.format.extent27162 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofInternational Conference on Digital Signal Processing-
dc.rights©2002 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.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleThe design of a class of prefect reconstruction two-channel FIR and wavelets filterbanks using constrained least squares method and semidefinite programmingen_HK
dc.typeConference_Paperen_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.hkuros82310-

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