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   -> Volume 3, Issue 19


Preprint: On Discrete Multiwavelet Transforms
 
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xxia@afit.af.mil (Xianggen Xia)
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PostPosted: Mon Dec 02, 2002 1:31 pm    
Subject: Preprint: On Discrete Multiwavelet Transforms
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Preprint: On Discrete Multiwavelet Transforms

Authors: Xiang-Gen Xia, Jeffrey S. Geronimo, Douglas P. Hardin,
and Bruce W. Suter

Correspondence: Xiang-Gen Xia
Dept. of Electrical and Computer Engineering
Air Force Institute of Technology
Wright-Patterson AFB, OH 45433-7765

E-mail: xxia@afit.af.mil
Phone: (513)255-6565 ext. 4413
Fax: (513)476-4055

Abstract:

The pyramid algorithm for computing single wavelet transform coefficients
is well-known. The pyramid algorithm can be implemented by using tree-
structured multirate filter banks. In this paper, we propose a general
algorithm to compute multiwavelet transform coefficients, by adding proper
pre multirate filter banks before the vector filter banks that generate
multiwavelets. The proposed algorithm can be thought of as a discrete
vector-valued wavelet transform for certain discrete-time vector-valued
signals. The proposed algorithm can also be thought of as a discrete
multiwavelet transform for discrete-time signals. We then present some
numerical experiments to illustrate the performance of the algorithm,
which indicates that the energy compaction for discrete multiwavelet
transforms may be better than the one for the conventional discrete
wavelet transforms.
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