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Conference Paper: Family of arbitrary length modulated orthonormal wavelets
| Title | Family of arbitrary length modulated orthonormal wavelets |
|---|---|
| Authors | |
| Issue Date | 1993 |
| Citation | Proceedings - Ieee International Symposium On Circuits And Systems, 1993, v. 1, p. 515-518 How to Cite? |
| Abstract | In a previous work, the author has established the conditions on the modulation for the modulated filter bank to be PR when the linear phase prototype filter is of length 2 mM and satisfies the power complementary condition. It was found that the modulation is generated by the class of unitary matrices. In this paper, we shown that similar unitary class of solutions also exist for the case N = 2 mM+β. This greatly increases the possible choices of modulation and filter length in the design of FIR PR QMF banks. Moreover, additional regularity conditions are imposed on the filter banks to obtain a unitary class of modulated orthonormal compactly supported wavelets. |
| Persistent Identifier | http://hdl.handle.net/10722/158110 |
| ISSN | 2023 SCImago Journal Rankings: 0.307 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chan, SC | en_US |
| dc.date.accessioned | 2012-08-08T08:58:06Z | - |
| dc.date.available | 2012-08-08T08:58:06Z | - |
| dc.date.issued | 1993 | en_US |
| dc.identifier.citation | Proceedings - Ieee International Symposium On Circuits And Systems, 1993, v. 1, p. 515-518 | en_US |
| dc.identifier.issn | 0271-4310 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10722/158110 | - |
| dc.description.abstract | In a previous work, the author has established the conditions on the modulation for the modulated filter bank to be PR when the linear phase prototype filter is of length 2 mM and satisfies the power complementary condition. It was found that the modulation is generated by the class of unitary matrices. In this paper, we shown that similar unitary class of solutions also exist for the case N = 2 mM+β. This greatly increases the possible choices of modulation and filter length in the design of FIR PR QMF banks. Moreover, additional regularity conditions are imposed on the filter banks to obtain a unitary class of modulated orthonormal compactly supported wavelets. | en_US |
| dc.language | eng | en_US |
| dc.relation.ispartof | Proceedings - IEEE International Symposium on Circuits and Systems | en_US |
| dc.title | Family of arbitrary length modulated orthonormal wavelets | en_US |
| dc.type | Conference_Paper | en_US |
| dc.identifier.email | Chan, SC:scchan@eee.hku.hk | en_US |
| dc.identifier.authority | Chan, SC=rp00094 | en_US |
| dc.description.nature | link_to_subscribed_fulltext | en_US |
| dc.identifier.scopus | eid_2-s2.0-0027151677 | en_US |
| dc.identifier.volume | 1 | en_US |
| dc.identifier.spage | 515 | en_US |
| dc.identifier.epage | 518 | en_US |
| dc.identifier.scopusauthorid | Chan, SC=13310287100 | en_US |
| dc.identifier.issnl | 0271-4310 | - |