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Wavelet Methods in Mathematical Analysis and Engineering

Wavelet Methods in Mathematical Analysis and Engineering PDF Author: Alain Damlamian
Publisher:
ISBN: 9787040292121
Category : Mathematical analysis
Languages : en
Pages : 178

Book Description


Wavelet Methods in Mathematical Analysis and Engineering

Wavelet Methods in Mathematical Analysis and Engineering PDF Author: Alain Damlamian
Publisher:
ISBN: 9787040292121
Category : Mathematical analysis
Languages : en
Pages : 178

Book Description


Wavelet Methods in Mathematical Analysis and Engineering

Wavelet Methods in Mathematical Analysis and Engineering PDF Author:
Publisher:
ISBN: 9814464058
Category :
Languages : en
Pages :

Book Description


Wavelet Methods in Mathematical Analysis and Engineering

Wavelet Methods in Mathematical Analysis and Engineering PDF Author: Alain Damlamian; Stephane Jaffard
Publisher:
ISBN: 9787894236296
Category :
Languages : en
Pages :

Book Description


Numerical Analysis of Wavelet Methods

Numerical Analysis of Wavelet Methods PDF Author: A. Cohen
Publisher: Elsevier
ISBN: 9780080537856
Category : Mathematics
Languages : en
Pages : 354

Book Description
Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and function spaces, and plays a pivotal role in the analysis of wavelet-based numerical methods. This book offers a self-contained treatment of wavelets, which includes this theoretical pillar and it applications to the numerical treatment of partial differential equations. Its key features are: 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions. 2. Full treatment of the theoretical foundations that are crucial for the analysis of wavelets and other related multiscale methods : function spaces, linear and nonlinear approximation, interpolation theory. 3. Applications of these concepts to the numerical treatment of partial differential equations : multilevel preconditioning, sparse approximations of differential and integral operators, adaptive discretization strategies.

Wavelet Methods for Time Series Analysis

Wavelet Methods for Time Series Analysis PDF Author: Donald B. Percival
Publisher: Cambridge University Press
ISBN: 1107717396
Category : Mathematics
Languages : en
Pages : 620

Book Description
This introduction to wavelet analysis 'from the ground level and up', and to wavelet-based statistical analysis of time series focuses on practical discrete time techniques, with detailed descriptions of the theory and algorithms needed to understand and implement the discrete wavelet transforms. Numerous examples illustrate the techniques on actual time series. The many embedded exercises - with complete solutions provided in the Appendix - allow readers to use the book for self-guided study. Additional exercises can be used in a classroom setting. A Web site offers access to the time series and wavelets used in the book, as well as information on accessing software in S-Plus and other languages. Students and researchers wishing to use wavelet methods to analyze time series will find this book essential.

Wavelets

Wavelets PDF Author: Charles K. Chui
Publisher: SIAM
ISBN: 9780898719727
Category : Mathematics
Languages : en
Pages : 228

Book Description
Wavelets continue to be powerful mathematical tools that can be used to solve problems for which the Fourier (spectral) method does not perform well or cannot handle. This book is for engineers, applied mathematicians, and other scientists who want to learn about using wavelets to analyze, process, and synthesize images and signals. Applications are described in detail and there are step-by-step instructions about how to construct and apply wavelets. The only mathematically rigorous monograph written by a mathematician specifically for nonspecialists, it describes the basic concepts of these mathematical techniques, outlines the procedures for using them, compares the performance of various approaches, and provides information for problem solving, putting the reader at the forefront of current research.

Wavelets and Multiscale Analysis

Wavelets and Multiscale Analysis PDF Author: Jonathan Cohen
Publisher: Springer Science & Business Media
ISBN: 0817680950
Category : Mathematics
Languages : en
Pages : 338

Book Description
Since its emergence as an important research area in the early 1980s, the topic of wavelets has undergone tremendous development on both theoretical and applied fronts. Myriad research and survey papers and monographs have been published on the subject, documenting different areas of applications such as sound and image processing, denoising, data compression, tomography, and medical imaging. The study of wavelets remains a very active field of research, and many of its central techniques and ideas have evolved into new and promising research areas. This volume, a collection of invited contributions developed from talks at an international conference on wavelets, is divided into three parts: Part I is devoted to the mathematical theory of wavelets and features several papers on wavelet sets and the construction of wavelet bases in different settings. Part II looks at the use of multiscale harmonic analysis for understanding the geometry of large data sets and extracting information from them. Part III focuses on applications of wavelet theory to the study of several real-world problems. Overall, the book is an excellent reference for graduate students, researchers, and practitioners in theoretical and applied mathematics, or in engineering.

Wavelets Theory and Its Applications

Wavelets Theory and Its Applications PDF Author: Mani Mehra
Publisher: Springer
ISBN: 9811325952
Category : Mathematics
Languages : en
Pages : 182

Book Description
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 is divided into four parts, the first of which is devoted to the mathematical foundations. The second part offers a basic introduction to wavelets. The third part discusses wavelet-based numerical methods for differential equations, while the last part highlights applications of wavelets in other fields. The book is ideally suited as a text for undergraduate and graduate students of mathematics and engineering.

Wavelet Analysis

Wavelet Analysis PDF Author: Howard L. Resnikoff
Publisher: Springer Science & Business Media
ISBN: 146120593X
Category : Mathematics
Languages : en
Pages : 446

Book Description
This text gives a clear introduction to the ideas and methods of wavelet analysis, making concepts understandable by relating them to methods in mathematics and engineering. It shows how to apply wavelet analysis to digital signal processing and presents a wide variety of applications.

Computational Signal Processing with Wavelets

Computational Signal Processing with Wavelets PDF Author: Anthony Teolis
Publisher: Birkhäuser
ISBN: 331965747X
Category : Mathematics
Languages : en
Pages : 324

Book Description
This unique resource examines the conceptual, computational, and practical aspects of applied signal processing using wavelets. With this book, readers will understand and be able to use the power and utility of new wavelet methods in science and engineering problems and analysis. The text is written in a clear, accessible style avoiding unnecessary abstractions and details. From a computational perspective, wavelet signal processing algorithms are presented and applied to signal compression, noise suppression, and signal identification. Numerical illustrations of these computational techniques are further provided with interactive software (MATLAB code) that is available on the World Wide Web. Topics and Features Continuous wavelet and Gabor transforms Frame-based theory of discretization and reconstruction of analog signals is developed New and efficient "overcomplete" wavelet transform is introduced and applied Numerical illustrations with an object-oriented computational perspective using the Wavelet Signal Processing Workstation (MATLAB code) available This book is an excellent resource for information and computational tools needed to use wavelets in many types of signal processing problems. Graduates, professionals, and practitioners in engineering, computer science, geophysics, and applied mathematics will benefit from using the book and software tools. The present, softcover reprint is designed to make this classic textbook available to a wider audience. A self-contained text that is theoretically rigorous while maintaining contact with interesting applications. A particularly noteworthy topic...is a class of ‘overcomplete wavelets’. These functions are not orthonormal and they lead to many useful results. —Journal of Mathematical Psychology