A Gentle Introduction to Wavelets

E. Rehmi Post

University of Massachusetts, Amherst

Abstract:

After a brief review of the fundamentals of Hilbert space theory, the rudiments of wavelet analysis are illustrated by the application of a very simple family of compactly supported, orthonormal functions known as the Haar basis. This family is generated directly from a ``mother'' function, and is shown to constitute an orthonormal basis of .

• Introduction
• Review of Hilbert space analysis
• Wavelet analysis techniques
• A sample application
• Conclusions
• References
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