"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.
"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: Carlos A. Berenstein; Enrico Casadio Tarabusi; Mas Название: Integral Geometry, Radon Transforms and Complex Analysis ISBN: 3540642072 ISBN-13(EAN): 9783540642077 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a collection of essays taken from a conference: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share stress on CR manifolds and related problems.
Описание: The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. The code is placed in front of the already built-in code of Laplace and z-transformations of Mathematica so that built-in functions not covered by the Package remain available.
Автор: M.-W. Wong Название: Wavelet Transforms and Localization Operators ISBN: 3034894783 ISBN-13(EAN): 9783034894784 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is based on lectures given at the Global Analysis Research Center (GARC) of Seoul National University in 1999and at Peking University in 1999and 2000. This book is a natural sequel to the book on pseudo-differential operators [103] and the book on Weyl transforms [102] by the author.
Автор: Xiao Jun Yang Название: Local Fractional Integral Transforms and Their Applications ISBN: 0128040025 ISBN-13(EAN): 9780128040027 Издательство: Elsevier Science Рейтинг: Цена: 11620.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms.
Provides applications of local fractional Fourier Series
Discusses definitions for local fractional Laplace transforms
Explains local fractional Laplace transforms coupled with analytical methods
Автор: Dyke, P. P. G. Название: An Introduction to Laplace transforms and Fourier series ISBN: 1852330155 ISBN-13(EAN): 9781852330156 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction.
Автор: K. Wolf Название: Integral Transforms in Science and Engineering ISBN: 1475708742 ISBN-13(EAN): 9781475708745 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It may also serve as an excellent self-study reference for electrical engineers and applied mathematicians whose work is related to the fields of electronics, signal processing, image and speech processing, or digital design and communication.
Автор: B. Golubov; A. Efimov; V. Skvortsov Название: Walsh Series and Transforms ISBN: 9401054525 ISBN-13(EAN): 9789401054522 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Wolfgang Arendt; Charles J.K. Batty; Matthias Hieb Название: Vector-valued Laplace Transforms and Cauchy Problems ISBN: 3034803273 ISBN-13(EAN): 9783034803274 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In addition to systematic coverage of vector-valued Laplace transform theory, ranging from representation to Tauberian theorems, this second edition develops the theory of linear Cauchy problems and semigroups of operators and introduces the Bochner integral.
Автор: Sigurdur Helgason Название: Integral Geometry and Radon Transforms ISBN: 1489994203 ISBN-13(EAN): 9781489994202 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Integral geometry is a fascinating area where numerous branches of mathematics meet together. This book is concentrated around the duality and double fibration, which is realized through the masterful treatment of a variety of examples.
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