Wavelet Analysis And Its Applications

Author : Lakshman Prasad,S. Sitharama Iyengar
Publisher : CRC Press
Page : 300 pages
File Size : 42,6 Mb
Release : 2020-01-29
Category : Mathematics
ISBN : 9781000721980

Get Book

Wavelet Analysis with Applications to Image Processing by Lakshman Prasad,S. Sitharama Iyengar Pdf

Wavelet analysis is among the newest additions to the arsenals of mathematicians, scientists, and engineers, and offers common solutions to diverse problems. However, students and professionals in some areas of engineering and science, intimidated by the mathematical background necessary to explore this subject, have been unable to use this powerful tool. The first book on the topic for readers with minimal mathematical backgrounds, Wavelet Analysis with Applications to Image Processing provides a thorough introduction to wavelets with applications in image processing. Unlike most other works on this subject, which are often collections of papers or research advances, this book offers students and researchers without an extensive math background a step-by-step introduction to the power of wavelet transforms and applications to image processing. The first four chapters introduce the basic topics of analysis that are vital to understanding the mathematics of wavelet transforms. Subsequent chapters build on the information presented earlier to cover the major themes of wavelet analysis and its applications to image processing. This is an ideal introduction to the subject for students, and a valuable reference guide for professionals working in image processing.

Author : Patrick Flandrin
Publisher : Academic Press
Page : 386 pages
File Size : 50,7 Mb
Release : 1998-09-29
Category : Mathematics
ISBN : 0080543030

Get Book

Time-Frequency/Time-Scale Analysis by Patrick Flandrin Pdf

This highly acclaimed work has so far been available only in French. It is a detailed survey of a variety of techniques for time-frequency/time-scale analysis (the essence of "Wavelet Analysis"). This book has broad and comprehensive coverage of a topic of keen interest to a variety of engineers, especially those concerned with signal and image processing. Flandrin provides a discussion of numerous issues and problems that arise from a mixed description in time and frequency, as well as problems in interpretation inherent in signal theory. Detailed coverage of both linear and quadratic solutions Various techniques for both random and deterministic signals

Author : Lokenath Debnath,Firdous Ahmad Shah
Publisher : Springer
Page : 562 pages
File Size : 41,9 Mb
Release : 2014-11-25
Category : Technology & Engineering
ISBN : 9780817684181

Get Book

Wavelet Transforms and Their Applications by Lokenath Debnath,Firdous Ahmad Shah Pdf

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 encountered in various interdisciplinary areas. Topics and Features: * This second edition heavily reworks the chapters on Extensions of Multiresolution Analysis and Newlands’s Harmonic Wavelets and introduces a new chapter containing new applications of wavelet transforms * Uses knowledge of Fourier transforms, some elementary ideas of Hilbert spaces, and orthonormal systems to develop the theory and applications of wavelet analysis * Offers detailed and clear explanations of every concept and method, accompanied by carefully selected worked examples, with special emphasis given to those topics in which students typically experience difficulty * Includes carefully chosen end-of-chapter exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.

Author : Randy K. Young
Publisher : Springer Science & Business Media
Page : 233 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461535843

Get Book

Wavelet Theory and Its Applications by Randy K. Young Pdf

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.

Author : Charles K. Chui
Publisher : Elsevier
Page : 278 pages
File Size : 47,5 Mb
Release : 2016-06-03
Category : Science
ISBN : 9781483282862

Get Book

An Introduction to Wavelets by Charles K. Chui Pdf

Wavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on “wavelet analysis for upper-division undergraduate or beginning graduate mathematics and engineering students.

Author : J.S. Byrnes,Kathryn A. Hargreaves,Karl Berry
Publisher : Springer Science & Business Media
Page : 432 pages
File Size : 53,5 Mb
Release : 1994-08-31
Category : Mathematics
ISBN : 0792330781

Get Book

Wavelets and Their Applications by J.S. Byrnes,Kathryn A. Hargreaves,Karl Berry Pdf

It is probably true quite generally that in the history of human thinking the most fruitful developments frequently take place at those points where two different lines of thought meet. Hence, if they actually meet, that is, if they are at least so much related to each other that a real interaction can take place, then one may hope that new and interesting developments may follow. Werner Heisenberg This volume contains papers presented at the August 1992 NATO Advanced Study Institute on Wavelets and Their Applications. The conference was held at the beautiful Il Ciocco resort near Lucca, in the glorious Tuscany region of northern Italy. Once again we gathered at this idyllic spot to explore and extend the reciprocity between mathematics and engineering. The dynamic interaction between world-renowned scientists from the usu ally disparate communities of pure mathematicians and applied scientists, which occurred at our 1989 and 1991 ASI's, continued at this meeting. Wavelet theory and technology is in an important growth stage at which theoretical and practical results are being compared with existing methods. There have been spectacular wavelet successes and sobering comparisons with traditional ideas-but still there is a wide expanse of scientific problems to explore. Since these problems lie at the forefront of both pure mathematics and applied science, our NATO ASI was especially pertinent at this time.

Author : Don Hong,Jianzhong Wang,Robert Gardner
Publisher : Elsevier
Page : 387 pages
File Size : 48,9 Mb
Release : 2004-12-31
Category : Mathematics
ISBN : 9780080540313

Get Book

Real Analysis with an Introduction to Wavelets and Applications by Don Hong,Jianzhong Wang,Robert Gardner Pdf

Real Analysis with an Introduction to Wavelets and Applications is an in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and wavelet theory with many associated applications. The text is relatively elementary at the start, but the level of difficulty steadily increases The book contains many clear, detailed examples, case studies and exercises Many real world applications relating to measure theory and pure analysis Introduction to wavelet analysis

Author : Efi Foufoula-Georgiou,Praveen Kumar
Publisher : Elsevier
Page : 373 pages
File Size : 48,9 Mb
Release : 2014-06-28
Category : Science
ISBN : 9780080520872

Get Book

Wavelets in Geophysics by Efi Foufoula-Georgiou,Praveen Kumar Pdf

Applications of wavelet analysis to the geophysical sciences grew from Jean Morlet's work on seismic signals in the 1980s. Used to detect signals against noise, wavelet analysis excels for transients or for spatiallylocalized phenomena. In this fourth volume in the renown WAVELET ANALYSIS AND ITS APPLICATIONS Series, Efi Foufoula-Georgiou and Praveen Kumar begin with a self-contained overview of the nature, power, and scope of wavelet transforms. The eleven originalpapers that follow in this edited treatise show how geophysical researchers are using wavelets to analyze such diverse phenomena as intermittent atmospheric turbulence, seafloor bathymetry, marine and other seismic data, and flow in aquifiers. Wavelets in Geophysics will make informative reading for geophysicists seeking an up-to-date account of how these tools are being used as well as for wavelet researchers searching for ideas for applications, or even new points of departure. Includes twelve original papers written by experts in the geophysical sciences Provides a self-contained overview of the nature, power, and scope of wavelet transforms Presents applications of wavelets to geophysical phenomena such as: The sharp events of seismic data, Long memory processes, such as fluctuation in the level of the Nile, A structure preserving decomposition of turbulence signals

Author : Michel Misiti,Yves Misiti,Georges Oppenheim,Jean-Michel Poggi
Publisher : John Wiley & Sons
Page : 270 pages
File Size : 47,6 Mb
Release : 2013-03-01
Category : Technology & Engineering
ISBN : 9781118613597

Get Book

Wavelets and their Applications by Michel Misiti,Yves Misiti,Georges Oppenheim,Jean-Michel Poggi Pdf

The last 15 years have seen an explosion of interest in wavelets with applications in fields such as image compression, turbulence, human vision, radar and earthquake prediction. Wavelets represent an area that combines signal in image processing, mathematics, physics and electrical engineering. As such, this title is intended for the wide audience that is interested in mastering the basic techniques in this subject area, such as decomposition and compression.

Author : John J. Benedetto
Publisher : CRC Press
Page : 590 pages
File Size : 47,6 Mb
Release : 2021-07-29
Category : Mathematics
ISBN : 9781000446395

Get Book

Wavelets by John J. Benedetto Pdf

Wavelets is a carefully organized and edited collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory. The first part of the book is devoted to the fundamentals of wavelet analysis. The construction of wavelet bases and the fast computation of the wavelet transform in both continuous and discrete settings is covered. The theory of frames, dilation equations, and local Fourier bases are also presented. The second part of the book discusses applications in signal analysis, while the third part covers operator analysis and partial differential equations. Each chapter in these sections provides an up-to-date introduction to such topics as sampling theory, probability and statistics, compression, numerical analysis, turbulence, operator theory, and harmonic analysis. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. It will be an especially useful reference for harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, fluids researchers, and applied mathematicians.

Author : Li Jian Ping,Tang Yuan Yan,Wickerhauser Victor
Publisher : World Scientific
Page : 1056 pages
File Size : 53,9 Mb
Release : 2003-04-11
Category : Computers
ISBN : 9789814486200

Get Book

Wavelet Analysis And Its Applications (In 2 Vols), Proceedings Of The Third International Conference On Waa by Li Jian Ping,Tang Yuan Yan,Wickerhauser Victor Pdf

This book captures the essence of the current state of research in wavelet analysis and its applications, and identifies the changes and opportunities - both current and future - in the field. Distinguished researchers such as Prof John Daugman from Cambridge University and Prof Victor Wickerhauser from Washington University present their research papers.

Author : David F. Walnut
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 51,5 Mb
Release : 2013-12-11
Category : Computers
ISBN : 9781461200017

Get Book

An Introduction to Wavelet Analysis by David F. Walnut Pdf

This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases. It motivates the central ideas of wavelet theory by offering a detailed exposition of the Haar series, then shows how a more abstract approach allows readers to generalize and improve upon the Haar series. It then presents a number of variations and extensions of Haar construction.

Author : Marco Gallegati,Willi Semmler
Publisher : Springer
Page : 271 pages
File Size : 45,7 Mb
Release : 2014-08-04
Category : Business & Economics
ISBN : 9783319070612

Get Book

Wavelet Applications in Economics and Finance by Marco Gallegati,Willi Semmler Pdf

This book deals with the application of wavelet and spectral methods for the analysis of nonlinear and dynamic processes in economics and finance. It reflects some of the latest developments in the area of wavelet methods applied to economics and finance. The topics include business cycle analysis, asset prices, financial econometrics, and forecasting. An introductory paper by James Ramsey, providing a personal retrospective of a decade's research on wavelet analysis, offers an excellent overview over the field.

Author : Archit Yajnik
Publisher : Alpha Science International, Limited
Page : 0 pages
File Size : 47,5 Mb
Release : 2013
Category : Mathematics
ISBN : 1842657690

Get Book

Wavelet Analysis and Its Applications by Archit Yajnik Pdf

Demonstrates the consequences of Fourier analysis and introduces the concept of wavelets. While dealing with one dimension signals, sometimes they are required to be oversampled. A novel technique of oversampling the digital signal is introduced along with necessary illustrations.

Author : Charles K. Chui
Publisher : Unknown
Page : 24 pages
File Size : 41,6 Mb
Release : 1992
Category : Wavelets (Mathematics)
ISBN : OCLC:26373078

Get Book

Wavelet Analysis and Its Applications by Charles K. Chui Pdf