Wavelets with scale dependent properties

Authors:
Peter Paule;Otmar Scherzer;Armin Schoisswohl
Affiliations:
Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria;Applied Mathematics, Department of Computer Science, University Innsbruck, Innsbruck, Austria;GE Medical Systems Kretz Ultrasound, Zipf, Austria
Venue:
SNSC'01 Proceedings of the 2nd international conference on Symbolic and numerical scientific computation
Year:
2001

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Abstract

In this paper we revisite the constitutive equations for coefficients of orthonormal wavelets. We construct wavelets that satisfy alternatives to the vanishing moments conditions, giving orthonormal basis functions with scale dependent properties. Wavelets with scale dependent properties are applied for the compression of an oscillatory one-dimensional signal.