Over the past 25 years, much research has been devoted to the development of Health and
Usage Monitoring (HUM) systems for rotorcraft gearbox and drivetrain components. The …

Over the last decade several constructions of compactly supported wavelets originated both
from mathematical analysis and the signat processing community. The roots of critically …

Wavelets are a relatively recent development in applied mathematics. Their name itself was
coined approximately a decade ago (Morlet, Arens, Fourgeau, and Giard (1982), Morlet …

A simple, nonrigorous, synthetic view of wavelet theory is presented for both review and
tutorial purposes. The discussion includes nonstationary signal analysis, scale versus …

First published in 1995, Wavelets and Subband Coding offered a unified view of the exciting
field of wavelets and their discrete-time cousins, filter banks, or subband coding. The book …

This article is essentially tutorial in nature. We show how any discrete wavelet transform or
two band subband filtering with finite filters can be decomposed into a finite sequence of …

We present the lifting scheme, a new idea for constructing compactly supported wavelets
with compactly supported duals. The lifting scheme uses a simple relationship between all …

The wavelet transform is compared with the more classical short-time Fourier transform
approach to signal analysis. Then the relations between wavelets, filter banks, and …

The word 'multiscale'can mean many things. However, in this book we are generally
concerned with the representation of objects at a set of scales and then manipulating these …

Data compression is one of the main contributing factors in the explosive growth in
information technology. Without it, a number of consumer and commercial products, such as …