Mathematical Principles of Signal Processing / Fourier and Wavelet Analysis, Bremaud Pierre
Автор: Bachmann Название: Fourier and Wavelet Analysis ISBN: 0387988998 ISBN-13(EAN): 9780387988993 Издательство: Springer Рейтинг: Цена: 10536 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Includes the history for perspective, proofs, hints, and exercises on Fourier series, transforms, and more. This textbook is useful for a first or second year graduate course on Fourier analysis.
Описание: Discover applications of Fourier analysis on finite non-Abelian groups The majority of publications in spectral technies consider Fourier transform on Abelian groups. However, non-Abelian groups provide notable advantages in efficient implementations of spectral methods. Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design examines aspects of Fourier analysis on finite non-Abelian groups and discusses different methods used to determine compact representations for discrete functions providing for their efficient realizations and related applications. Switching functions are included as an example of discrete functions in engineering practice. Additionally, consideration is given to the polynomial expressions and decision diagrams defined in terms of Fourier transform on finite non-Abelian groups. A solid foundation of this complex topic is provided by beginning with a review of signals and their mathematical models and Fourier analysis. Next, the book examines recent achievements and discoveries in: * Matrix interpretation of the fast Fourier transform * Optimization of decision diagrams * Functional expressions on quaternion groups * Gibbs derivatives on finite groups * Linear systems on finite non-Abelian groups * Hilbert transform on finite groups Among the highlights is an in-depth coverage of applications of abstract harmonic analysis on finite non-Abelian groups in compact representations of discrete functions and related tasks in signal processing and system design, including logic design. All chapters are self-contained, each with a list of references to facilitate the development of specialized courses or self-study. With nearly 100 illustrative figures and fifty tables, this is an excellent textbook for graduate-level students and researchers in signal processing, logic design, and system theory-as well as the more general topics of computer science and applied mathematics.
Описание: Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematical physics for at least two centuries. This work examines the differential-geometric constructions (Nahm) as well as the algebro-geometric approach (Fourier-Mukai functors). It also provides an introduction to the research in mathematical physics.
Описание: Wavelet analysis has gained recognition as a useful tool for analyzing time-frequency, and is playing an important role in signal and information processing.
Wavelet analysis is not only based on a bright new idea, but also on concepts that already existed in various forms in many different fields. The formalization and emergence of this
wavelet theory is the result of a multidisciplinary effort that has brought together of varied disciplines.
This book captures the essence of the state of the art in wavelet analysis
and active media technology.
Описание: The Laplace transform is a useful tool for solving practical mathematical problems. It has a wealth of applications (for example, engineers use it to solve engineering problems). This book takes introduces the basics of Laplace Transforms.
Автор: Kutyniok Gitta Название: Affine Density in Wavelet Analysis ISBN: 354072916X ISBN-13(EAN): 9783540729167 Издательство: Springer Цена: 5190 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In wavelet analysis, irregular wavelet frames have recently come to the forefront of current research due to questions concerning the robustness and stability of wavelet algorithms. A major difficulty in the study of these systems is the highly sensitive interplay between geometric properties of a sequence of time-scale indices and frame properties of the associated wavelet systems.This volume provides the first thorough and comprehensive treatment of irregular wavelet frames by introducing and employing a new notion of affine density as a highly effective tool for examining the geometry of sequences of time-scale indices. Many of the results are new and published for the first time. Topics include: qualitative and quantitative density conditions for existence of irregular wavelet frames, non-existence of irregular co-affine frames, the Nyquist phenomenon for wavelet systems, and approximation properties of irregular wavelet frames.
Автор: Bracewell Ronald Название: Fourier Analysis and Imaging ISBN: 0306481871 ISBN-13(EAN): 9780306481871 Издательство: Springer Рейтинг: Цена: 30532 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: As Lord Kelvin said, "Fourier's theorem is not only one of the most beautiful results of modern analysis, but it may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics." This has remained durable knowledge for a century, and has extended its applicability to topics as diverse as medical imaging (CT scanning), the presentation of images on screens and their digital transmission, remote sensing, geophysical exploration, and many branches of engineering. Fourier Analysis and Imaging is based on years of teaching a course on the Fourier Transform at the senior or early graduate level, as well as on Prof. Bracewell's 1995 text Two-Dimensional Imaging. It is an excellent textbook and will also be a welcome addition to the reference library of those many professionals whose daily activities involve Fourier analysis in its many guises.
Описание: This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a вЂ“ reasonably self-contained вЂ“ exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.
Описание: Vol. 1 of Lars HГ¶rmander's influential 4-volume treatise is a detailed exposition of the theory of distributions.From the reviews: "In order to illustrate the richness of the book: in my review of the 1983 edition [...] I gave a list of 20 subjects which were new compared to HГ¶rmander's book of 1963. Most of these subjects concern important, basic and highly nontrivial theorems in analysis. HГ¶rmander's treatment of these is extremely clear and efficient and often highly original. [...] Most of the exercises are witty, with an interesting point. The phrasing of both the exercises and the answers and hints is very careful [...] In all, the book can be highly recommended, both as a textbook for advanced students, and as background and reference for introductory courses on distributions and Fourier analysis."J.J. Duistermaat in Mededelingen van het Wiskundig Genootschap
Описание: Wavelet analysis and its applications have been one of the fastest growing research areas in the past several years. Wavelet theory has been employed in numerous fields and applications, such as signal and image processing, communication systems, biomedical imaging, radar, air acoustics, and many other areas. Active media technology is concerned with the development of autonomous computational or physical entities capable of perceiving, reasoning, adapting, learning, cooperating, and delegating in a dynamic environment.This book captures the essence of the current state of the art in wavelet analysis and active media technology. It includes nine invited papers by distinguished researchers: P Zhang, T D Bui and C Y Suen from Concordia University, Canada; N A Strelkov and V L Dol'nikov from Yaroslavl State University, Russia; Chin-Chen Chang and Ching-Yun Chang from Taiwan; S S Pandey from R D University, India; and I L Bloshanskii from Moscow State Regional University, Russia.The proceedings have been selected for coverage in:
Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
Описание: Wavelet analysis and its applications have been one of the fastest-growing research areas in the past several years. Wavelet theory has been employed in numerous fields and applications, such as signal and image processing, communication systems, biomedical imaging, radar, and air acoustics. Active media technology is concerned with the development of autonomous computational or physical entities capable of perceiving, reasoning, adapting, learning, cooperating, and delegating in a dynamic environment.This book captures the essence of the state of the art in wavelet analysis and its applications and active media technology. At the Congress, invited talks were delivered by distinguished researchers, namely Prof John Daugman of Cambridge University, UK; Prof Bruno Torresani of INRIA, France; Prof Victor Wickerhauser of Washington University, USA, Prof Ning Zhong of the Maebashi Institute of Technology, Japan; Prof John Yen of Pennsylvania State University, USA; and Prof Sankar K Pal of the Indian Statistical Institute, India.
Описание: 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.
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