Chapter 15

Wavelets

Abstract

In this chapter, we introduce the concept of wavelets and describe how to use wavelet-based decompositions in compression schemes. We begin with an introduction to wavelets and multiresolution analysis and then describe how we can implement a wavelet decomposition using filters. We then examine the implementations of several wavelet-based compression schemes.

Keywords

Wavelets; Multiresolution analysis; Scaling; Mother wavelet; Biorthogonal wavelets; Lifting; Filters

15.1 Overview

We have looked at compression schemes that make use of temporal and spatial correlation, and we have looked at compression schemes that use spectral structure in the signal. Implicit in these techniques is an underlying assumption ...

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