The Wavelet Analysis
Rabindranath Sen · Anthem Press eBooks · 2013
An Introduction to Wavelet Analysis The concept of Wavelet was first introduced around 1980. It came out as a synthesis of ideas borrowed from disciplines including mathematics (Calderáon Zygmund operators and Littlewood-Paley theory), physics (coherent states formalism in quantum mechanism and renormalizing group) and engineering (quadratic mirror filters, sidebend coding in signal processing and pyramidal algorithms in image processing) (Debnath [17]). Wavelet analysis provides a systematic new way to represent and analyze multiscale structures . The special feature of Wavelet analysis is to generalize and expand the representations of functions by orthogonal basis to infinite domains . For this purpose, compactly supported [see 13.5] basis functions are used and this linear combination represents the function. These are the kinds of functions that are realized by physical devices.