Mathematical Preliminaries for Transforms, Subbands, and Wavelets
Abstract
In this chapter, we will review some of the mathematical background necessary for the study of transforms, subbands, and wavelets. The topics include Fourier series, Fourier transforms, and their discrete counterparts. We will also look at sampling and briefly review some linear system concepts.
Keywords
Vector spaces; Inner product; Fourier series; Fourier transform; Linear systems; Filters; Impulse response; Sampling; Z-transform
12.1 Overview
The first step in the design of any data compression scheme is modeling the source process. Developing a good model for a process or signal requires comprehension and understanding of the process. And in ...
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