"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: Lokenath Debnath; Firdous Ahmad Shah Название: Wavelet Transforms and Their Applications ISBN: 0817684174 ISBN-13(EAN): 9780817684174 Издательство: Springer Рейтинг: Цена: 11753.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Wavelet Transforms and Their Applications
Автор: Eckhard Hitzer; Stephen J. Sangwine Название: Quaternion and Clifford Fourier Transforms and Wavelets ISBN: 3034807775 ISBN-13(EAN): 9783034807777 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses the state of the art of hypercomplex Fourier and Wavelet Transformations, both from the side of theoretical investigations and in the context of applications. Draws attention to matrix isomorphisms for hypercomplex algebras.
Автор: John J. Healy; M. Alper Kutay; Haldun M. Ozaktas; Название: Linear Canonical Transforms ISBN: 149394424X ISBN-13(EAN): 9781493944248 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Foreward.- PART I: Fundamentals.- Development of linear canonical transforms - a historical sketch.- The linear canonical transformation: definition and properties.- Eigenfunctions of the linear canonical transform.- Uncertainty principles and the linear canonical transform.- The linear canonical transformations in classical optics.- Optical Implementation of Linear Canonical Transforms.- PART II: Discretization and Computation.- Linear canonical domains and degrees of freedom of signals and systems.- Sampling and discrete linear canonical transforms.- Self-imaging and discrete paraxial optics.- Fast algorithms for digital computation of linear canonical transforms.- PART III: Applications.- Deterministic phase retrieval using the LCT.- Analyzing digital holographic systems with the LCT.- Double random phase encoding based optical encryption systems using some linear canonical transforms: weaknesses and countermeasures.- Complex valued ABCD Matrices.- Linear canonical transforms on quantum states of light.
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.
Описание: Wavelet and subband transforms have been of great interest in the fields of - gineering and applied mathematics. This book, comprised of eleven chapter contributions from prominent researchers in the field, focuses on communications and mul- media applications of wavelet and subband transforms.
Автор: Hitzer Eckhard Название: Quaternion and Clifford Fourier Transforms and Wavelets ISBN: 3034806027 ISBN-13(EAN): 9783034806022 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses the state of the art of hypercomplex Fourier and Wavelet Transformations, both from the side of theoretical investigations and in the context of applications. Draws attention to matrix isomorphisms for hypercomplex algebras.
Описание: Deals with the theory and applications of integral transforms and convolutions of certain classes of integral, integrodifferential equations, and operational calculus. Many constructions of convolution and integral transforms are obtained using the theory of Mellin-Barnes integral.
Автор: M.W. Wong Название: Weyl Transforms ISBN: 0387984143 ISBN-13(EAN): 9780387984148 Издательство: Springer Рейтинг: Цена: 7819.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Studies properties of pseudo-differential operators arising in quantum mechanics as bounded linear operators on $ L^a2u(BbbR^anu) $. This book includes the results and methods that are of interest to graduate students and mathematicians working in Fourier analysis, operator theory, pseudo-differential operators and mathematical physics.
Автор: B. Golubov; A. Efimov; V. Skvortsov Название: Walsh Series and Transforms ISBN: 0792311000 ISBN-13(EAN): 9780792311003 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'Et moi, ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y se.rais point aile.' human race. It has put common sense back Jules Verne where it belongs, on be topmost shelf next to the dusty canister labelled 'disc: arded non- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
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.
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