Wavelet Theory and Its Applications

Chapter 4 considers general signal processing applications where dyadic grids, real wavelets, and constrained ... An added dimensionality of the wavelet transform over the Fourier transform is the freedom in choosing the kernel of the ...

Wavelet Theory and Its Applications

The continuous wavelet transform has deep mathematical roots in the work of Alberto P. Calderon. His seminal paper on complex method of interpolation and intermediate spaces provided the main tool for describing function spaces and their approximation properties. The Calderon identities allow one to give integral representations of many natural operators by using simple pieces of such operators, which are more suited for analysis. These pieces, which are essentially spectral projections, can be chosen in clever ways and have proved to be of tremendous utility in various problems of numerical analysis, multidimensional signal processing, video data compression, and reconstruction of high resolution images and high quality speech. A proliferation of research papers and a couple of books, written in English (there is an earlier book written in French), have emerged on the subject. These books, so far, are written by specialists for specialists, with a heavy mathematical flavor, which is characteristic of the Calderon-Zygmund theory and related research of Duffin-Schaeffer, Daubechies, Grossman, Meyer, Morlet, Chui, and others. Randy Young's monograph is geared more towards practitioners and even non-specialists, who want and, probably, should be cognizant of the exciting proven as well as potential benefits which have either already emerged or are likely to emerge from wavelet theory.

More Books:

Wavelet Transforms and Their Applications
Language: en
Pages: 553
Authors: Lokenath Debnath, Firdous Ahmad Shah
Categories: Technology & Engineering
Type: BOOK - Published: 2014-11-25 - Publisher: Springer

This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as
Wavelets Theory and Its Applications
Language: en
Pages: 182
Authors: Mani Mehra
Categories: Mathematics
Type: BOOK - Published: 2018-11-03 - Publisher: Springer

This book provides comprehensive information on the conceptual basis of wavelet theory and it applications. Maintaining an essential balance between mathematical rigour and the practical applications of wavelet theory, the book is closely linked to the wavelet MATLAB toolbox, which is accompanied, wherever applicable, by relevant MATLAB codes. The book
Wavelet Theory and Its Applications
Language: en
Pages: 223
Authors: Randy K. Young
Categories: Technology & Engineering
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

The continuous wavelet transform has deep mathematical roots in the work of Alberto P. Calderon. His seminal paper on complex method of interpolation and intermediate spaces provided the main tool for describing function spaces and their approximation properties. The Calderon identities allow one to give integral representations of many natural
Fundamentals of Wavelets
Language: en
Pages: 359
Authors: Jaideva C. Goswami, Andrew K. Chan
Categories: Computers
Type: BOOK - Published: 2011-03-08 - Publisher: John Wiley & Sons

Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition
Wavelets
Language: en
Pages: 224
Authors: Robert X Gao, Ruqiang Yan
Categories: Technology & Engineering
Type: BOOK - Published: 2010-12-07 - Publisher: Springer Science & Business Media

Wavelets: Theory and Applications for Manufacturing presents a systematic description of the fundamentals of wavelet transform and its applications. Given the widespread utilization of rotating machines in modern manufacturing and the increasing need for condition-based, as opposed to fix-interval, intelligent maintenance to minimize machine down time and ensure reliable production,