Mathematical Principles Of Signal Processing

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Mathematical Principles Of Signal Processing

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Author : Pierre Bremaud
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Mathematical Principles Of Signal Processing written by Pierre Bremaud and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.

Fourier analysis is one of the most useful tools in many applied sciences. The recent developments of wavelet analysis indicates that in spite of its long history and well-established applications, the field is still one of active research. This text bridges the gap between engineering and mathematics, providing a rigorously mathematical introduction of Fourier analysis, wavelet analysis and related mathematical methods, while emphasizing their uses in signal processing and other applications in communications engineering. The interplay between Fourier series and Fourier transforms is at the heart of signal processing, which is couched most naturally in terms of the Dirac delta function and Lebesgue integrals. The exposition is organized into four parts. The first is a discussion of one-dimensional Fourier theory, including the classical results on convergence and the Poisson sum formula. The second part is devoted to the mathematical foundations of signal processing - sampling,filtering, digital signal processing. Fourier analysis in Hilbert spaces is the focus of the third part, and the last part provides an introduction to wavelet analysis, time-frequency issues, and multiresolution analysis. An appendix provides the necessary background on Lebesgue integrals.

Mathematical Principles Of Signal Processing

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Author : Pierre Bremaud
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-05-02

Mathematical Principles Of Signal Processing written by Pierre Bremaud and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-02 with Mathematics categories.

From the reviews: "[...] the interested reader will find in Bremaud’s book an invaluable reference because of its coverage, scope and style, as well as of the unified treatment it offers of (signal processing oriented) Fourier and wavelet basics." Mathematical Reviews

Foundations Of Signal Processing

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Author : Martin Vetterli
language : en
Publisher: Cambridge University Press
Release Date : 2014-09-04

Foundations Of Signal Processing written by Martin Vetterli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-04 with Computers categories.

This comprehensive and accessible textbook introduces students to the basics of modern signal processing techniques.

Applied Digital Signal Processing

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Author : Dimitris G. Manolakis
language : en
Publisher: Cambridge University Press
Release Date : 2011-11-21

Applied Digital Signal Processing written by Dimitris G. Manolakis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-21 with Technology & Engineering categories.

Master the basic concepts and methodologies of digital signal processing with this systematic introduction, without the need for an extensive mathematical background. The authors lead the reader through the fundamental mathematical principles underlying the operation of key signal processing techniques, providing simple arguments and cases rather than detailed general proofs. Coverage of practical implementation, discussion of the limitations of particular methods and plentiful MATLAB illustrations allow readers to better connect theory and practice. A focus on algorithms that are of theoretical importance or useful in real-world applications ensures that students cover material relevant to engineering practice, and equips students and practitioners alike with the basic principles necessary to apply DSP techniques to a variety of applications. Chapters include worked examples, problems and computer experiments, helping students to absorb the material they have just read. Lecture slides for all figures and solutions to the numerous problems are available to instructors.

Digital Signal Processing

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Author : Jonathan M Blackledge
language : en
Publisher: Elsevier
Release Date : 2006-03-01

Digital Signal Processing written by Jonathan M Blackledge and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-01 with Technology & Engineering categories.

This book forms the first part of a complete MSc course in an area that is fundamental to the continuing revolution in information technology and communication systems. Massively exhaustive, authoritative, comprehensive and reinforced with software, this is an introduction to modern methods in the developing field of Digital Signal Processing (DSP). The focus is on the design of algorithms and the processing of digital signals in areas of communications and control, providing the reader with a comprehensive introduction to the underlying principles and mathematical models. - Provides an introduction to modern methods in the developing field of Digital Signal Processing (DSP) - Focuses on the design of algorithms and the processing of digital signals in areas of communications and control - Provides a comprehensive introduction to the underlying principles and mathematical models of Digital Signal Processing

Mathematical Methods For Signal And Image Analysis And Representation

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Author : Luc Florack
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-13

Mathematical Methods For Signal And Image Analysis And Representation written by Luc Florack and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-13 with Mathematics categories.

Mathematical Methods for Signal and Image Analysis and Representation presents the mathematical methodology for generic image analysis tasks. In the context of this book an image may be any m-dimensional empirical signal living on an n-dimensional smooth manifold (typically, but not necessarily, a subset of spacetime). The existing literature on image methodology is rather scattered and often limited to either a deterministic or a statistical point of view. In contrast, this book brings together these seemingly different points of view in order to stress their conceptual relations and formal analogies. Furthermore, it does not focus on specific applications, although some are detailed for the sake of illustration, but on the methodological frameworks on which such applications are built, making it an ideal companion for those seeking a rigorous methodological basis for specific algorithms as well as for those interested in the fundamental methodology per se. Covering many topics at the forefront of current research, including anisotropic diffusion filtering of tensor fields, this book will be of particular interest to graduate and postgraduate students and researchers in the fields of computer vision, medical imaging and visual perception.

First Principles Of Discrete Systems And Digital Signal Processing

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Author : Robert D. Strum
language : en
Publisher: Prentice Hall
Release Date : 1988

First Principles Of Discrete Systems And Digital Signal Processing written by Robert D. Strum and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

Here is a valuable book for a first undergraduate course in discrete systems and digital signal processing (DSP) and for in-practice engineers seeking a self-study text on the subject. Readers will find the book easy to read, with topics flowing and connecting naturally. Fundamentals and first principles central to most DSP applications are presented through carefully developed, worked out examples and problems. Unlike more theoretically demanding texts, this book does not require a prerequisite course in linear systems theory. The text focuses on problem-solving and developing interrelationships and connections between topics. This emphasis is carried out in a number of innovative features, including organized procedures for filter design and use of computer-based problem-solving methods. Solutions Manual is available only through your Addison-Wesley Sales Specialist.

Practical Signal Processing

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Author : Mark Owen
language : en
Publisher: Cambridge University Press
Release Date : 2007-05-17

Practical Signal Processing written by Mark Owen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-17 with Technology & Engineering categories.

This book introduces the basic theory of digital signal processing, with emphasis on real-world applications.

Detection Theory

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Author : Ralph D. Hippenstiel
language : en
Publisher: CRC Press
Release Date : 2017-12-19

Detection Theory written by Ralph D. Hippenstiel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Technology & Engineering categories.

Using simplified notation and a practical approach, Detection Theory: Applications and Digital Signal Processing introduces the principles of detection theory, the necessary mathematics, and basic signal processing methods along with some recently developed statistical techniques. Throughout the book, the author keeps the needs of practicing engineers firmly in mind. His presentation and choice of topics allows students to quickly become familiar with the detection and signal processing fields and move on to more advanced study and practice. The author also presents many applications and wide-ranging examples that demonstrate how to apply the concepts to real-world problems.

A Wavelet Tour Of Signal Processing

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Author : Stephane Mallat
language : en
Publisher: Elsevier
Release Date : 1999-09-14

A Wavelet Tour Of Signal Processing written by Stephane Mallat and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-14 with Computers categories.

This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and ÉcolePolytechnique in Paris. - Provides a broad perspective on the principles and applications of transient signal processing with wavelets - Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms - Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection, multifractal analysis, and time-varying frequency measurements - Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet - Content is accessible on several level of complexity, depending on the individual reader's needs New to the Second Edition - Optical flow calculation and video compression algorithms - Image models with bounded variation functions - Bayes and Minimax theories for signal estimation - 200 pages rewritten and most illustrations redrawn - More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics