Harmonic Analysis For Engineers And Applied Scientists

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Harmonic Analysis for Engineers and Applied Scientists

Gregory S. Chirikjian,Alexander B. Kyatkin
Harmonic Analysis for Engineers and Applied Scientists Book PDF

Author : Gregory S. Chirikjian,Alexander B. Kyatkin
Publisher : Courier Dover Publications
Page : 881 pages
File Size : 49,8 Mb
Release : 2016-07-20
Category : Mathematics
ISBN : 9780486795645

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Harmonic Analysis for Engineers and Applied Scientists by Gregory S. Chirikjian,Alexander B. Kyatkin Pdf

Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.

Engineering Applications of Noncommutative Harmonic Analysis

Gregory S. Chirikjian,Alexander B. Kyatkin
Engineering Applications of Noncommutative Harmonic Analysis Book PDF

Author : Gregory S. Chirikjian,Alexander B. Kyatkin
Publisher : CRC Press
Page : 698 pages
File Size : 41,6 Mb
Release : 2000-09-28
Category : Computers
ISBN : 9781420041767

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Engineering Applications of Noncommutative Harmonic Analysis by Gregory S. Chirikjian,Alexander B. Kyatkin Pdf

The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is sti

Excursions in Harmonic Analysis, Volume 3

Radu Balan,Matthew J. Begué,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Excursions in Harmonic Analysis Volume 3 Book PDF

Author : Radu Balan,Matthew J. Begué,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Publisher : Birkhäuser
Page : 336 pages
File Size : 52,8 Mb
Release : 2015-06-02
Category : Mathematics
ISBN : 9783319132303

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Excursions in Harmonic Analysis, Volume 3 by Radu Balan,Matthew J. Begué,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou Pdf

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include · spectral analysis and correlation; · radar and communications: design, theory, and applications; · sparsity · special topics in harmonic analysis. The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Excursions in Harmonic Analysis, Volume 4

Radu Balan,Matthew Begué,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Excursions in Harmonic Analysis Volume 4 Book PDF

Author : Radu Balan,Matthew Begué,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Publisher : Birkhäuser
Page : 428 pages
File Size : 52,9 Mb
Release : 2015-10-20
Category : Mathematics
ISBN : 9783319201887

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Excursions in Harmonic Analysis, Volume 4 by Radu Balan,Matthew Begué,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou Pdf

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers and professionals in pure and applied mathematics, physics and engineering. Topics covered include: Special Topics in Harmonic Analysis Applications and Algorithms in the Physical Sciences Gabor Theory RADAR and Communications: Design, Theory, and Applications The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Excursions in Harmonic Analysis, Volume 5

Radu Balan,John J. Benedetto,Wojciech Czaja,Matthew Dellatorre,Kasso A. Okoudjou
Excursions in Harmonic Analysis Volume 5 Book PDF

Author : Radu Balan,John J. Benedetto,Wojciech Czaja,Matthew Dellatorre,Kasso A. Okoudjou
Publisher : Birkhäuser
Page : 338 pages
File Size : 55,8 Mb
Release : 2017-06-20
Category : Mathematics
ISBN : 9783319547114

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Excursions in Harmonic Analysis, Volume 5 by Radu Balan,John J. Benedetto,Wojciech Czaja,Matthew Dellatorre,Kasso A. Okoudjou Pdf

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include: Theoretical harmonic analysis Image and signal processing Quantization Algorithms and representations The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

The Evolution of Applied Harmonic Analysis

Elena Prestini
The Evolution of Applied Harmonic Analysis Book PDF

Author : Elena Prestini
Publisher : Birkhäuser
Page : 356 pages
File Size : 41,9 Mb
Release : 2016-12-01
Category : Mathematics
ISBN : 9781489979896

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The Evolution of Applied Harmonic Analysis by Elena Prestini Pdf

A sweeping exploration of the development and far-reaching applications of harmonic analysis such as signal processing, digital music, Fourier optics, radio astronomy, crystallography, medical imaging, spectroscopy, and more. Featuring a wealth of illustrations, examples, and material not found in other harmonic analysis books, this unique monograph skillfully blends together historical narrative with scientific exposition to create a comprehensive yet accessible work. While only an understanding of calculus is required to appreciate it, there are more technical sections that will charm even specialists in harmonic analysis. From undergraduates to professional scientists, engineers, and mathematicians, there is something for everyone here. The second edition of The Evolution of Applied Harmonic Analysis contains a new chapter on atmospheric physics and climate change, making it more relevant for today’s audience. Praise for the first edition: "...can be thoroughly recommended to any reader who is curious about the physical world and the intellectual underpinnings that have lead to our expanding understanding of our physical environment and to our halting steps to control it. Everyone who uses instruments that are based on harmonic analysis will benefit from the clear verbal descriptions that are supplied." — R.N. Bracewell, Stanford University “The book under review is a unique and splendid telling of the triumphs of the fast Fourier transform. I can recommend it unconditionally... Elena Prestini... has taken one major mathematical idea, that of Fourier analysis, and chased down and described a half dozen varied areas in which Fourier analysis and the FFT are now in place. Her book is much to be applauded.” — Society for Industrial and Applied Mathematics “This is not simply a book about mathematics, or even the history of mathematics; it is a story about how the discipline has been applied (to borrow Fourier’s expression) to ‘the public good and the explanation of natural phenomena.’ ... This book constitutes a significant addition to the library of popular mathematical works, and a valuable resource for students of mathematics.” — Mathematical Association of America Reviews

Applied Fourier Analysis

Tim Olson
Applied Fourier Analysis Book PDF

Author : Tim Olson
Publisher : Birkhäuser
Page : 302 pages
File Size : 51,8 Mb
Release : 2017-11-20
Category : Mathematics
ISBN : 9781493973934

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Applied Fourier Analysis by Tim Olson Pdf

The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing. Developed by the author from extensive classroom teaching experience, it provides a breadth of theory that allows students to appreciate the utility of the subject, but at as accessible a depth as possible. With myriad applications included, this book can be adapted to a one or two semester course in Fourier Analysis or serve as the basis for independent study. Applied Fourier Analysis assumes no prior knowledge of analysis from its readers, and begins by making the transition from linear algebra to functional analysis. It goes on to cover basic Fourier series and Fourier transforms before delving into applications in sampling and interpolation theory, digital communications, radar processing, medi cal imaging, and heat and wave equations. For all applications, ample practice exercises are given throughout, with collections of more in-depth problems built up into exploratory chapter projects. Illuminating videos are available on Springer.com and Link.Springer.com that present animated visualizations of several concepts. The content of the book itself is limited to what students will need to deal with in these fields, and avoids spending undue time studying proofs or building toward more abstract concepts. The book is perhaps best suited for courses aimed at upper division undergraduates and early graduates in mathematics, electrical engineering, mechanical engineering, computer science, physics, and other natural sciences, but in general it is a highly valuable resource for introducing a broad range of students to Fourier analysis.

Engineering Applications of Noncommutative Harmonic Analysis

Gregory S. Chirikjian,Alexander B. Kyatkin
Engineering Applications of Noncommutative Harmonic Analysis Book PDF

Author : Gregory S. Chirikjian,Alexander B. Kyatkin
Publisher : CRC Press
Page : 674 pages
File Size : 42,9 Mb
Release : 2021-07-07
Category : Electronic
ISBN : 0367257181

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Engineering Applications of Noncommutative Harmonic Analysis by Gregory S. Chirikjian,Alexander B. Kyatkin Pdf

Fisrt published in 2001, Noncommutative harmonic analysis is one of the most widely used mathematical tools in engineering. Written specifically for engineers and computer scientists, this book serves as an applied counterpart to the theoretical works of pure mathematicians.

Harmonic Analysis and Applications

John J. Benedetto
Harmonic Analysis and Applications Book PDF

Author : John J. Benedetto
Publisher : CRC Press
Page : 370 pages
File Size : 53,7 Mb
Release : 1996-07-29
Category : Mathematics
ISBN : 0849378796

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Harmonic Analysis and Applications by John J. Benedetto Pdf

Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. In Harmonic Analysis and Applications, the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality, power, elegance, usefulness, and the intricacy and simplicity of the subject. This book is about classical harmonic analysis - a textbook suitable for students, and an essay and general reference suitable for mathematicians, physicists, and others who use harmonic analysis. Throughout the book, material is provided for an upper level undergraduate course in harmonic analysis and some of its applications. In addition, the advanced material in Harmonic Analysis and Applications is well-suited for graduate courses. The course is outlined in Prologue I. This course material is excellent, not only for students, but also for scientists, mathematicians, and engineers as a general reference. Chapter 1 covers the Fourier analysis of integrable and square integrable (finite energy) functions on R. Chapter 2 of the text covers distribution theory, emphasizing the theory's useful vantage point for dealing with problems and general concepts from engineering, physics, and mathematics. Chapter 3 deals with Fourier series, including the Fourier analysis of finite and infinite sequences, as well as functions defined on finite intervals. The mathematical presentation, insightful perspectives, and numerous well-chosen examples and exercises in Harmonic Analysis and Applications make this book well worth having in your collection.

Excursions in Harmonic Analysis, Volume 1

Travis D Andrews,Radu Balan,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Excursions in Harmonic Analysis Volume 1 Book PDF

Author : Travis D Andrews,Radu Balan,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Publisher : Springer Science & Business Media
Page : 489 pages
File Size : 47,7 Mb
Release : 2013-01-04
Category : Mathematics
ISBN : 9780817683764

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Excursions in Harmonic Analysis, Volume 1 by Travis D Andrews,Radu Balan,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou Pdf

The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

Twentieth Century Harmonic Analysis

J.S. Byrnes
Twentieth Century Harmonic Analysis Book PDF

Author : J.S. Byrnes
Publisher : Springer Science & Business Media
Page : 411 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401006620

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Twentieth Century Harmonic Analysis by J.S. Byrnes Pdf

Almost a century ago, harmonic analysis entered a (still continuing) Golden Age, with the emergence of many great masters throughout Europe. They created a wealth of profound analytic methods, to be successfully exploited and further developed by succeeding generations. This flourishing of harmonic analysis is today as lively as ever, as the papers presented here demonstrate. In addition to its own ongoing internal development and its basic role in other areas of mathematics, physics and chemistry, financial analysis, medicine, and biological signal processing, harmonic analysis has made fundamental contributions to essentially all twentieth century technology-based human endeavours, including telephone, radio, television, radar, sonar, satellite communications, medical imaging, the Internet, and multimedia. This ubiquitous nature of the subject is amply illustrated. The book not only promotes the infusion of new mathematical tools into applied harmonic analysis, but also to fuel the development of applied mathematics by providing opportunities for young engineers, mathematicians and other scientists to learn more about problem areas in today's technology that might benefit from new mathematical insights.

Functions, Spaces, and Expansions

Ole Christensen
Functions Spaces and Expansions Book PDF

Author : Ole Christensen
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 47,8 Mb
Release : 2010-05-27
Category : Mathematics
ISBN : 9780817649807

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Functions, Spaces, and Expansions by Ole Christensen Pdf

This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. Readers are expected to have a solid understanding of linear algebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required.

Excursions in Harmonic Analysis, Volume 2

Travis D Andrews,Radu Balan,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Excursions in Harmonic Analysis Volume 2 Book PDF

Author : Travis D Andrews,Radu Balan,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Publisher : Springer Science & Business Media
Page : 461 pages
File Size : 44,8 Mb
Release : 2013-01-04
Category : Mathematics
ISBN : 9780817683795

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Excursions in Harmonic Analysis, Volume 2 by Travis D Andrews,Radu Balan,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou Pdf

The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

Modern Sampling Theory

John J. Benedetto,Paulo J.S.G. Ferreira
Modern Sampling Theory Book PDF

Author : John J. Benedetto,Paulo J.S.G. Ferreira
Publisher : Springer Science & Business Media
Page : 423 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461201434

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Modern Sampling Theory by John J. Benedetto,Paulo J.S.G. Ferreira Pdf

A state-of-the-art edited survey covering all aspects of sampling theory. Theory, methods and applications are discussed in authoritative expositions ranging from multi-dimensional signal analysis to wavelet transforms. The book is an essential up-to-date resource.

Foundations of Time-Frequency Analysis

Karlheinz Gröchenig
Foundations of Time Frequency Analysis Book PDF

Author : Karlheinz Gröchenig
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 49,9 Mb
Release : 2013-12-01
Category : Technology & Engineering
ISBN : 9781461200031

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Foundations of Time-Frequency Analysis by Karlheinz Gröchenig Pdf

Time-frequency analysis is a modern branch of harmonic analysis. It com prises all those parts of mathematics and its applications that use the struc ture of translations and modulations (or time-frequency shifts) for the anal ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book. The topics range from the elemen tary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantita tive methods in time-frequency analysis and the theory of pseudodifferential operators. This book is motivated by applications in signal analysis and quantum mechanics, but it is not about these applications. The main ori entation is toward the detailed mathematical investigation of the rich and elegant structures underlying time-frequency analysis. Time-frequency analysis originates in the early development of quantum mechanics by H. Weyl, E. Wigner, and J. von Neumann around 1930, and in the theoretical foundation of information theory and signal analysis by D.