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Conference Paper: Perfect reconstruction modulated filter banks without cosine constraints

TitlePerfect reconstruction modulated filter banks without cosine constraints
Authors
Issue Date1993
Citation
Proceedings - Icassp, Ieee International Conference On Acoustics, Speech And Signal Processing, 1993, v. 3, p. 111.189-192 How to Cite?
AbstractIn this paper, we use the theory of perfect reconstruction QMF banks to analyze the general class of modulated filter banks. It is found that there is an inherent tradeoffs between the constraints imposed on the prototype and the modulation matrix to achieve PR. We then proposed a set of constraints on the modulation to achieve PR while retaining the desirable power complementary conditions on the polyphase components. The prototype filter can then be designed using the two-channel lossless lattice. It is surprising to know that the complete solution to this set of constraints is generated by the set of unitary matrices. In other words, the PR property of the modulated filter banks is not due to the use of the cosine modulation but the unitariness of an underlying unitary matrix. This greatly increases the possible choices of modulation in the design of FIR PR QMF banks. We demonstrate the usefulness of our approach by deriving several existing MFB, such as the Extended Lapped Transform (ELT) as special cases of our unitary class of solutions.
Persistent Identifierhttp://hdl.handle.net/10722/158116
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChan, SCen_US
dc.contributor.authorKok, CWen_US
dc.date.accessioned2012-08-08T08:58:08Z-
dc.date.available2012-08-08T08:58:08Z-
dc.date.issued1993en_US
dc.identifier.citationProceedings - Icassp, Ieee International Conference On Acoustics, Speech And Signal Processing, 1993, v. 3, p. 111.189-192en_US
dc.identifier.issn0736-7791en_US
dc.identifier.urihttp://hdl.handle.net/10722/158116-
dc.description.abstractIn this paper, we use the theory of perfect reconstruction QMF banks to analyze the general class of modulated filter banks. It is found that there is an inherent tradeoffs between the constraints imposed on the prototype and the modulation matrix to achieve PR. We then proposed a set of constraints on the modulation to achieve PR while retaining the desirable power complementary conditions on the polyphase components. The prototype filter can then be designed using the two-channel lossless lattice. It is surprising to know that the complete solution to this set of constraints is generated by the set of unitary matrices. In other words, the PR property of the modulated filter banks is not due to the use of the cosine modulation but the unitariness of an underlying unitary matrix. This greatly increases the possible choices of modulation in the design of FIR PR QMF banks. We demonstrate the usefulness of our approach by deriving several existing MFB, such as the Extended Lapped Transform (ELT) as special cases of our unitary class of solutions.en_US
dc.languageengen_US
dc.relation.ispartofProceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processingen_US
dc.titlePerfect reconstruction modulated filter banks without cosine constraintsen_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-s2.0-0027252237en_US
dc.identifier.volume3en_US
dc.identifier.spage111.189en_US
dc.identifier.epage192en_US
dc.identifier.scopusauthoridChan, SC=13310287100en_US
dc.identifier.scopusauthoridKok, CW=7006132434en_US

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