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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 10
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Original Articles

A construction of wavelets

Peter Z. Daffer Northrup Grumman Space Technology, 293 Highway 247 South, WRG4, Warner Robins, GA 31088, USA
&
Hideaki Kaneko Department of Mathematics and Statistics, Old Dominion University, Norfolk, Virginia 23529-0077, USACorrespondence[email protected]
Pages 1245-1253 | Received 23 Jul 2005, Accepted 04 Apr 2006, Published online: 04 Jan 2007
 
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Abstract

In this note, given a multiresolution analysis, we construct a class of four-coefficient scaling filters using only elementary algebraic operations. The method of construction also reveals that the sum conditions ∑a even=∑a odd=1 can also be verified without referring to the vanishing moment property.

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