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Hilbert Transforms Volume 1
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Book Synopsis Hilbert Transforms by : Frederick W. King
Download or read book Hilbert Transforms written by Frederick W. King and published by Encyclopedia of Mathematics an. This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.
Book Synopsis Hilbert Transforms: Volume 2 by : Frederick W. King
Download or read book Hilbert Transforms: Volume 2 written by Frederick W. King and published by Cambridge University Press. This book was released on 2009-04-27 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.
Book Synopsis Hilbert Transforms by : Frederick W. King
Download or read book Hilbert Transforms written by Frederick W. King and published by . This book was released on 2009 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hilbert Transform Applications in Mechanical Vibration by : Michael Feldman
Download or read book Hilbert Transform Applications in Mechanical Vibration written by Michael Feldman and published by John Wiley & Sons. This book was released on 2011-03-08 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert Transform Applications in Mechanical Vibration addresses recent advances in theory and applications of the Hilbert transform to vibration engineering, enabling laboratory dynamic tests to be performed more rapidly and accurately. The author integrates important pioneering developments in signal processing and mathematical models with typical properties of mechanical dynamic constructions such as resonance, nonlinear stiffness and damping. A comprehensive account of the main applications is provided, covering dynamic testing and the extraction of the modal parameters of nonlinear vibration systems, including the initial elastic and damping force characteristics. This unique merger of technical properties and digital signal processing allows the instant solution of a variety of engineering problems and the in-depth exploration of the physics of vibration by analysis, identification and simulation. This book will appeal to both professionals and students working in mechanical, aerospace, and civil engineering, as well as naval architecture, biomechanics, robotics, and mechatronics. Hilbert Transform Applications in Mechanical Vibration employs modern applications of the Hilbert transform time domain methods including: The Hilbert Vibration Decomposition method for adaptive separation of a multi-component non-stationary vibration signal into simple quasi-harmonic components; this method is characterized by high frequency resolution, which provides a comprehensive account of the case of amplitude and frequency modulated vibration analysis. The FREEVIB and FORCEVIB main applications, covering dynamic testing and extraction of the modal parameters of nonlinear vibration systems including the initial elastic and damping force characteristics under free and forced vibration regimes. Identification methods contribute to efficient and accurate testing of vibration systems, avoiding effort-consuming measurement and analysis. Precise identification of nonlinear and asymmetric systems considering high frequency harmonics on the base of the congruent envelope and congruent frequency. Accompanied by a website at www.wiley.com/go/feldman, housing MATLAB®/ SIMULINK codes.
Book Synopsis The Hilbert-Huang Transform in Engineering by : Norden E. Huang
Download or read book The Hilbert-Huang Transform in Engineering written by Norden E. Huang and published by CRC Press. This book was released on 2005-06-23 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data used to develop and confirm models suffer from several shortcomings: the total data is too limited, the data are non-stationary, and the data represent nonlinear processes. The Hilbert-Huang transform (HHT) is a relatively new method that has grown into a robust tool for data analysis and is ready for a wide variety of applications. Thi
Book Synopsis Hilbert-huang Transform And Its Applications (2nd Edition) by : Norden E Huang
Download or read book Hilbert-huang Transform And Its Applications (2nd Edition) written by Norden E Huang and published by World Scientific. This book was released on 2014-04-22 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for scientists and engineers who use HHT (Hilbert-Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges.The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD.The book also provides a platform for researchers to develop the HHT method further and to identify more applications.
Book Synopsis The Hilbert Transform of Schwartz Distributions and Applications by : J. N. Pandey
Download or read book The Hilbert Transform of Schwartz Distributions and Applications written by J. N. Pandey and published by John Wiley & Sons. This book was released on 2011-10-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a modern and up-to-date treatment of the Hilberttransform of distributions and the space of periodic distributions.Taking a simple and effective approach to a complex subject, thisvolume is a first-rate textbook at the graduate level as well as anextremely useful reference for mathematicians, applied scientists,and engineers. The author, a leading authority in the field, shares with thereader many new results from his exhaustive research on the Hilberttransform of Schwartz distributions. He describes in detail how touse the Hilbert transform to solve theoretical and physicalproblems in a wide range of disciplines; these include aerofoilproblems, dispersion relations, high-energy physics, potentialtheory problems, and others. Innovative at every step, J. N. Pandey provides a new definitionfor the Hilbert transform of periodic functions, which isespecially useful for those working in the area of signalprocessing for computational purposes. This definition could alsoform the basis for a unified theory of the Hilbert transform ofperiodic, as well as nonperiodic, functions. The Hilbert transform and the approximate Hilbert transform ofperiodic functions are worked out in detail for the first time inbook form and can be used to solve Laplace's equation with periodicboundary conditions. Among the many theoretical results proved inthis book is a Paley-Wiener type theorem giving thecharacterization of functions and generalized functions whoseFourier transforms are supported in certain orthants of Rn. Placing a strong emphasis on easy application of theory andtechniques, the book generalizes the Hilbert problem in higherdimensions and solves it in function spaces as well as ingeneralized function spaces. It simplifies the one-dimensionaltransform of distributions; provides solutions to thedistributional Hilbert problems and singular integral equations;and covers the intrinsic definition of the testing function spacesand its topology. The book includes exercises and review material for all majortopics, and incorporates classical and distributional problems intothe main text. Thorough and accessible, it explores new ways to usethis important integral transform, and reinforces its value in bothmathematical research and applied science. The Hilbert transform made accessible with many new formulas anddefinitions Written by today's foremost expert on the Hilbert transform ofgeneralized functions, this combined text and reference covers theHilbert transform of distributions and the space of periodicdistributions. The author provides a consistently accessibletreatment of this advanced-level subject and teaches techniquesthat can be easily applied to theoretical and physical problemsencountered by mathematicians, applied scientists, and graduatestudents in mathematics and engineering. Introducing many new inversion formulas that have been developedand applied by the author and his research associates, the book: * Provides solutions to the distributional Hilbert problem andsingular integral equations * Focuses on the Hilbert transform of Schwartz distributions,giving intrinsic definitions of the space H(D) and its topology * Covers the Paley-Wiener theorem and provides many importanttheoretical results of importance to research mathematicians * Provides the characterization of functions and generalizedfunctions whose Fourier transforms are supported in certainorthants of Rn * Offers a new definition of the Hilbert transform of the periodicfunction that can be used for computational purposes in signalprocessing * Develops the theory of the Hilbert transform of periodicdistributions and the approximate Hilbert transform of periodicdistributions * Provides exercises at the end of each chapter--useful toprofessors in planning assignments, tests, and problems
Book Synopsis The Hilbert Transform of Schwartz Distributions and Applications by : J. N. Pandey
Download or read book The Hilbert Transform of Schwartz Distributions and Applications written by J. N. Pandey and published by John Wiley & Sons. This book was released on 1995-12-29 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a modern and up-to-date treatment of the Hilberttransform of distributions and the space of periodic distributions.Taking a simple and effective approach to a complex subject, thisvolume is a first-rate textbook at the graduate level as well as anextremely useful reference for mathematicians, applied scientists,and engineers. The author, a leading authority in the field, shares with thereader many new results from his exhaustive research on the Hilberttransform of Schwartz distributions. He describes in detail how touse the Hilbert transform to solve theoretical and physicalproblems in a wide range of disciplines; these include aerofoilproblems, dispersion relations, high-energy physics, potentialtheory problems, and others. Innovative at every step, J. N. Pandey provides a new definitionfor the Hilbert transform of periodic functions, which isespecially useful for those working in the area of signalprocessing for computational purposes. This definition could alsoform the basis for a unified theory of the Hilbert transform ofperiodic, as well as nonperiodic, functions. The Hilbert transform and the approximate Hilbert transform ofperiodic functions are worked out in detail for the first time inbook form and can be used to solve Laplace's equation with periodicboundary conditions. Among the many theoretical results proved inthis book is a Paley-Wiener type theorem giving thecharacterization of functions and generalized functions whoseFourier transforms are supported in certain orthants of Rn. Placing a strong emphasis on easy application of theory andtechniques, the book generalizes the Hilbert problem in higherdimensions and solves it in function spaces as well as ingeneralized function spaces. It simplifies the one-dimensionaltransform of distributions; provides solutions to thedistributional Hilbert problems and singular integral equations;and covers the intrinsic definition of the testing function spacesand its topology. The book includes exercises and review material for all majortopics, and incorporates classical and distributional problems intothe main text. Thorough and accessible, it explores new ways to usethis important integral transform, and reinforces its value in bothmathematical research and applied science. The Hilbert transform made accessible with many new formulas anddefinitions Written by today's foremost expert on the Hilbert transform ofgeneralized functions, this combined text and reference covers theHilbert transform of distributions and the space of periodicdistributions. The author provides a consistently accessibletreatment of this advanced-level subject and teaches techniquesthat can be easily applied to theoretical and physical problemsencountered by mathematicians, applied scientists, and graduatestudents in mathematics and engineering. Introducing many new inversion formulas that have been developedand applied by the author and his research associates, the book: * Provides solutions to the distributional Hilbert problem andsingular integral equations * Focuses on the Hilbert transform of Schwartz distributions,giving intrinsic definitions of the space H(D) and its topology * Covers the Paley-Wiener theorem and provides many importanttheoretical results of importance to research mathematicians * Provides the characterization of functions and generalizedfunctions whose Fourier transforms are supported in certainorthants of Rn * Offers a new definition of the Hilbert transform of the periodicfunction that can be used for computational purposes in signalprocessing * Develops the theory of the Hilbert transform of periodicdistributions and the approximate Hilbert transform of periodicdistributions * Provides exercises at the end of each chapter--useful toprofessors in planning assignments, tests, and problems
Book Synopsis Fourier, Hadamard, and Hilbert Transforms in Chemistry by : Alan Marshall
Download or read book Fourier, Hadamard, and Hilbert Transforms in Chemistry written by Alan Marshall and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: In virtually all types of experiments in which a response is analyzed as a function of frequency (e. g. , a spectrum), transform techniques can significantly improve data acquisition and/or data reduct ion. Research-level nuclear magnet ic resonance and infra-red spectra are already obtained almost exclusively by Fourier transform methods, because Fourier transform NMR and IR spectrometers have been commercially available since the late 1960·s. Similar transform techniques are equally valuable (but less well-known) for a wide range of other chemical applications for which commercial instruments are only now becoming available: for example, the first corrmercial Fourier transform mass spectrometer was introduced this year (1981) by Nicolet Instrument Corporation. The purpose of this volume is to acquaint practicing chemists with the basis, advantages, and applica of Fourier, Hadamard, and Hilbert transforms in chemistry. For tions almost all chapters, the author is the investigator who was the first to apply such methods in that field. The basis and advantages of transform techniques are described in Chapter 1. Many of these aspects were understood and first applied by infrared astronomers in the 1950·s, in order to improve the otherwise unacceptably poor signal-to-noise ratio of their spec tra. However, the computations required to reduce the data were painfully slow, and required a 1 arge computer.
Book Synopsis A Theory of Generalized Hilbert Transforms by : Efrem Herbert Ostrow
Download or read book A Theory of Generalized Hilbert Transforms written by Efrem Herbert Ostrow and published by . This book was released on 1960 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Inversion of a One-sided Hilbert Transform by : Joanne Elliott
Download or read book The Inversion of a One-sided Hilbert Transform written by Joanne Elliott and published by . This book was released on 1949 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Methods of Mathematical Physics by : Richard Courant
Download or read book Methods of Mathematical Physics written by Richard Courant and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's second and final revision of 1953.
Book Synopsis Hilbert-Huang Transform and Its Applications by : Norden Eh Huang
Download or read book Hilbert-Huang Transform and Its Applications written by Norden Eh Huang and published by World Scientific. This book was released on 2005 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hilbert-Huang Transform (HHT) represents a desperate attempt to break the suffocating hold on the field of data analysis by the twin assumptions of linearity and stationarity. Unlike spectrograms, wavelet analysis, or the Wigner-Ville Distribution, HHT is truly a time-frequency analysis, but it does not require an a priori functional basis and, therefore, the convolution computation of frequency. The method provides a magnifying glass to examine the data, and also offers a different view of data from nonlinear processes, with the results no longer shackled by spurious harmonics ? the artifacts of imposing a linearity property on a nonlinear system or of limiting by the uncertainty principle, and a consequence of Fourier transform pairs in data analysis. This is the first HHT book containing papers covering a wide variety of interests. The chapters are divided into mathematical aspects and applications, with the applications further grouped into geophysics, structural safety and visualization.
Book Synopsis Hilbert Transforms in Signal Processing by : Stefan L. Hahn
Download or read book Hilbert Transforms in Signal Processing written by Stefan L. Hahn and published by Artech House Signal Processing. This book was released on 1996 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a first-ever detailed analysis of the complex notation of 2-D and 3-D signals and describes how you can apply it to image processing, modulation, and other fields. It helps you significantly reduce your literature research time, better enables you to simulate signals and communication systems, and helps you to design compatible single-sideband systems.
Book Synopsis Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics by : W.-H. Steeb
Download or read book Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics written by W.-H. Steeb and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalised function theory. All the major modern techniques and approaches used in quantum mechanics are introduced, such as Berry phase, coherent and squeezed states, quantum computing, solitons and quantum mechanics. Audience: The book is suitable for graduate students in physics and mathematics.
Book Synopsis Classical and Multilinear Harmonic Analysis by : Camil Muscalu
Download or read book Classical and Multilinear Harmonic Analysis written by Camil Muscalu and published by Cambridge University Press. This book was released on 2013-01-31 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.
Book Synopsis Fourier Meets Hilbert and Riesz by : René Erlin Castillo
Download or read book Fourier Meets Hilbert and Riesz written by René Erlin Castillo and published by de Gruyter. This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is based on lecture notes from a special topics course on advanced analysis offered at Universidad Nacional de Colombia during the spring semester of 2019. Prerequisites are a first-year course on measure and integration theory and functional analysis, as well as some basics of metric spaces and complex variables. Our intention in writing these notes is to prepare students to do research on Fourier analysis. The lecture notes were rather informal with a conversational tone. While emphasizing formality, these notes keep pedagogy in mind as we aim to serve students who might need to teach the material to themselves because they do not have access to an equivalent course at their institutions. We would like to emphasize that this manuscript is meant as a textbook, not as a reference book. The expository paper [1] was an early byproduct of this effort. We have made every effort to keep this book self-contained. To that end, the first chapter includes all fundamental concepts needed for the rest of the book where, indeed, Fourier meets Hilbert and Riesz. The Hilbert transform is essentially the only singular operator in one dimension, in the sense that, without a doubt, it and its generalizations are some of the most important operators in harmonic analysis. We present and elementary introduction to the Hilbert and Riesz transforms in Chapters 5,6, 7, and 8. An appendix is also given for the sake of completeness. Exercises are included throughout the text to help challenge and motive students as they gauge their progress. While most problems are of a routine nature, a few problems will likely be challenging to beginning students."--taken from Preface, page [vii].--
