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   -> Volume 2, Issue 14


Preprint available: Wavelet Function, Scaling function and DWT
 
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Qu Jin, McMaster University, Canada.
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PostPosted: Fri Nov 29, 2002 3:36 pm    
Subject: Preprint available: Wavelet Function, Scaling function and DWT
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Preprint available: Wavelet Function, Scaling function and DWT

WAVELET FUNCTION, SCALING FUNCTION AND DISCRETE WAVELET TRANSFORM

Q.Jin, Z.Q.Luo and K.M.Wong
Department of Electrical and Computer Engineering
McMaster University, Hamilton, Ont. Canada L8S 4L7


ABSTRACT:

In this paper, we discuss the very general condition for a function to be a
scaling function and a wavelet function. The necessary and sufficient condition
for the functions to form a multiresolution wavelet decomposition and
reconstruction is presented. Through the investigation of
multiresolution analysis and filter bank theory, the interrelationship between
continuous wavelet transform and discrete wavelet transform is established.

A copy of this paper is available by send your address to
Jin@CRlvax.Eng.Mcmaster.ca
or write to Dr. Qu Jin of the address above.
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