Chapter 8: Harmonic Analysis
Jeffrey Humpherys, Tyler J. Jarvis · Society for Industrial and Applied Mathematics eBooks · 2020
The field of harmonic analysis is concerned with both the representation and the approximation of functions, including signals36 and images, as linear combinations of basic waves. In this chapter we consider two branches of harmonic analysis corresponding to two different classes of “basic waves.” The first comes from the class of trigonometric functions (sines and cosines) and is called Fourier analysis. The second deals with self-similar waves and is called wavelet analysis.