File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Conference Paper: The design of two-channel prefect reconstruction FIR triplet wavelet filter banks using semidefinite programming

TitleThe design of two-channel prefect reconstruction FIR triplet wavelet filter banks using semidefinite programming
Authors
Issue Date2003
Citation
Proceedings - Ieee International Symposium On Circuits And Systems, 2003, v. 4, p. IV253-IV256 How to Cite?
AbstractThis paper proposes a new method for designing 2-channel PR linear-phase/low-delay FIR triplet wavelet filterbanks with user-defined cutoff frequency and prescribed number of K-regularity. The magnitudes of the analysis/synthesis filters pair at ω = π / 2 can be set to any desired value controlled by a certain number of parameters using the triplet structure. The K-regularity conditions are expressed as a set of linear equality constraints in the variables to be optimized. The design method employs the minimax error criteria and solves the design problem as a semidefinite programming (SDP) optimization. By removing the redundant variables, the linear 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 (LMI). Hence they can be solved using existing SDP solver. Design examples are given to demonstrate the effectiveness of the proposed method.
Persistent Identifierhttp://hdl.handle.net/10722/158407
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorYeung, KSen_US
dc.contributor.authorChan, SCen_US
dc.date.accessioned2012-08-08T08:59:29Z-
dc.date.available2012-08-08T08:59:29Z-
dc.date.issued2003en_US
dc.identifier.citationProceedings - Ieee International Symposium On Circuits And Systems, 2003, v. 4, p. IV253-IV256en_US
dc.identifier.issn0271-4310en_US
dc.identifier.urihttp://hdl.handle.net/10722/158407-
dc.description.abstractThis paper proposes a new method for designing 2-channel PR linear-phase/low-delay FIR triplet wavelet filterbanks with user-defined cutoff frequency and prescribed number of K-regularity. The magnitudes of the analysis/synthesis filters pair at ω = π / 2 can be set to any desired value controlled by a certain number of parameters using the triplet structure. The K-regularity conditions are expressed as a set of linear equality constraints in the variables to be optimized. The design method employs the minimax error criteria and solves the design problem as a semidefinite programming (SDP) optimization. By removing the redundant variables, the linear 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 (LMI). Hence they can be solved using existing SDP solver. Design examples are given to demonstrate the effectiveness of the proposed method.en_US
dc.languageengen_US
dc.relation.ispartofProceedings - IEEE International Symposium on Circuits and Systemsen_US
dc.titleThe design of two-channel prefect reconstruction FIR triplet wavelet filter banks using semidefinite programmingen_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-s2.0-17944391627en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-17944391627&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume4en_US
dc.identifier.spageIV253en_US
dc.identifier.epageIV256en_US
dc.identifier.scopusauthoridYeung, KS=7202425050en_US
dc.identifier.scopusauthoridChan, SC=13310287100en_US

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats