Описание: Covers the basic elements of the Gibbs phenomenon as it appears in various applications where functions with jump discontinuities are represented. This book addresses methods of reducing, or filtering out, and such phenomena that cover the above function representations. It also includes a bibliography of some 350 references.
Автор: Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk Название: Wavelet Analysis on the Sphere: Spheroidal Wavelets ISBN: 311048109X ISBN-13(EAN): 9783110481099 Издательство: Walter de Gruyter Рейтинг: Цена: 18586.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph is concerned with wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.
Contents Review of orthogonal polynomials Homogenous polynomials and spherical harmonics Review of special functions Spheroidal-type wavelets Some applications Some applications
Автор: Yuan Y. Tang; Victor Wickerhauser; Pong C. Yuen; C Название: Wavelet Analysis and Its Applications ISBN: 3540430342 ISBN-13(EAN): 9783540430346 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This title contains 24 revised full papers and 27 revised short papers selected from a total of 67 full paper admissions offering topical sections on image compressing and coding, video coding and processing, theory, image processing, signal processing and systems and applications.
"This book is suitable as a textbook for an introductory undergraduate mathematics course on discrete Fourier and wavelet transforms for students with background in calculus and linear algebra. The particular strength of this book is its accessibility to students with no background in analysis. The exercises and computer explorations provide the reader with many opportunities for active learning. Studying from this text will also help students strengthen their background in linear algebra."
Mathematical Association of America
This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.
It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.
Автор: David F. Walnut Название: An Introduction to Wavelet Analysis ISBN: 1461265673 ISBN-13(EAN): 9781461265672 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases.
Автор: Carlos E. D`Attellis; Elena M. Fernandez-Berdaguer Название: Wavelet Theory and Harmonic Analysis in Applied Sciences ISBN: 146127379X ISBN-13(EAN): 9781461273790 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The idea of this book originated in the works presented at the First Latinamerican Conference on Mathematics in Industry and Medicine, held in Buenos Aires, Argentina, from November 27 to December 1, 1995. There are excellent introductions already available, for example, Chapter one in Wavelets in Medicine and Biology, edited by A.
Описание: This book will present functional analysis to the readers who do not know anything about the subject. The prime focus will be parts that are applied in case of FEM and wavelets.
Автор: Andrew Bruce; Hong-Ye Gao Название: Applied Wavelet Analysis with S-PLUS ISBN: 0387947140 ISBN-13(EAN): 9780387947143 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Furthermore, in addition to wavelets, a whole range of related signal processing techniques such as wavelet packets, local cosine analysis, and matching pursuits are covered, and applications of wavelet analysis are illustrated -including nonparametric function estimation, digital image compression, and time-frequency signal analysis.
Автор: Lokenath Debnath Название: Wavelet Transforms and Time-Frequency Signal Analysis ISBN: 1461266297 ISBN-13(EAN): 9781461266297 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering.
Описание: The subject of wavelet analysis has been around for less than 15 years, yet it seems to be popping up everywhere. The major reason for this is its usefulness in applications. Wavelets reduce the data requirements in fields such as signal processing and approximation through their localization property: A function that is zero in an interval has a wavelet expansion whose partial sums are small or even zero. Since most of the information in a signal is in the region where it changes, only the local data corresponding to it needs to be considered. Wavelets do this much better than classical methods because of their “zoom-in” and “zoom-out” capabilities. Hence, wavelets appeal to scientists and engineers in any field that requires analyzing large amounts of data.This is an introductory, self-contained book on wavelet analysis and its applications, focusing on computer graphics and economics. The only prerequisite is a basic knowledge of calculus and linear algebra. For this reason, preliminary material on functional analysis, function theory, and Fourier analysis are covered in Chapter 1. The driving force of the development of wavelet analysis is described in Chapter 2 using step functions and Haar wavelets. Integral wavelet transform, discrete wavelet transform, classification of wavelets, multiresolution analysis, and wavelet algorithms for the decomposition and reconstruction of functions are presented in Chapter 3 of the book. The applications of wavelet transform in computer graphics and in economics are discussed in Chapters 4 and 5, respectively. Finally, Chapter 6 discusses some advanced material such as biorthogonal wavelets, two-dimensional wavelets, nonseparable multidimensional wavelets, and wavelet packets.
Автор: Wickerhauser, Mladen Victor Название: Adapted Wavelet Analysis ISBN: 0367448602 ISBN-13(EAN): 9780367448608 Издательство: Taylor&Francis Рейтинг: Цена: 9492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book addresses the properties of wavelet and related transforms, to establish criteria by which the proper analysis tool may be chosen, and details software implementations to perform the needed computation. It is useful for the pure mathematician who is familiar with parts of wavelet theory.
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