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Semi-orthogonal frame wavelets and frame multi-resolution analyses

Published online by Cambridge University Press:  17 April 2009

Hong Oh Kim ,
Rae Young Kim  and
Jae Kun Lim
Hong Oh Kim
Affiliation:
Division of Applied Mathematics, Kaist, 373–1 Kusong-Dong Yusong-Gu, Taejon 305–701, Korea e-mail: hkim@ftn.kaist.ac.krrykim@ftn.kaist.ac.kr
Rae Young Kim
Affiliation:
Division of Applied Mathematics, Kaist, 373–1 Kusong-Dong Yusong-Gu, Taejon 305–701, Korea e-mail: hkim@ftn.kaist.ac.krrykim@ftn.kaist.ac.kr
Jae Kun Lim
Affiliation:
CHiPS, Kaist, 373–1 Kusong-Dong Yusong-Gu, Taejon 305–701, Korea e-mail: jaekun@ftn.kaist.ac.kr
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Abstract

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We first characterise semi-orthogonal frame wavelets by generalising the characterisation of orthonormal wavelets. We then characterise those semi-orthogonal frame wavelets that are associated with frame multi-resolution analyses. This is a generalisation of a result of Wang and another result of Papadakis. Finally, we illustrate our results by an example.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 1 , February 2002 , pp. 35 - 44
Copyright
Copyright © Australian Mathematical Society 2002

References

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