Transforms And Applications Handbook

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Transforms and Applications Handbook

Alexander D. Poularikas
Transforms and Applications Handbook Book PDF

Author : Alexander D. Poularikas
Publisher : CRC Press
Page : 911 pages
File Size : 47,9 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781420066531

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Transforms and Applications Handbook by Alexander D. Poularikas Pdf

Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and systems, including properties of the delta function and some classical orthogonal functions. It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properties of each type. The material is presented in a way that makes it easy for readers from different backgrounds to familiarize themselves with the wide range of transform applications. Revisiting transforms previously covered, this book adds information on other important ones, including: Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite Fraction Fourier Zak Continuous and discrete Chirp-Fourier Multidimensional discrete unitary Hilbert-Huang Most comparable books cover only a few of the transforms addressed here, making this text by far the most useful for anyone involved in signal processing—including electrical and communication engineers, mathematicians, and any other scientist working in this field.

The Transforms and Applications Handbook

Alexander D. Poularikas
The Transforms and Applications Handbook Book PDF

Author : Alexander D. Poularikas
Publisher : CRC Press
Page : 1136 pages
File Size : 41,8 Mb
Release : 1996
Category : Mathematics
ISBN : STANFORD:36105018227962

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The Transforms and Applications Handbook by Alexander D. Poularikas Pdf

This handbook brings together in a single volume the most important mathematical transforms used by engineers and scientists. It begins with a treatment of the delta function and some of the classical orthogonal functions. The book covers transforms such as Fourier Transforms, Cosine and Sine Transforms, Harley Transforms, Laplace Transforms, Z-Transforms, Hilbert Transforms, Radon and Abel Transforms, Time-Frequency Transformations, Wavelet Transforms, Hankel Transforms, and Mellin Transforms. Applications and examples are included.

Handbook of Mellin Transforms

Yu. A. Brychkov,O. I. Marichev,N. V. Savischenko
Handbook of Mellin Transforms Book PDF

Author : Yu. A. Brychkov,O. I. Marichev,N. V. Savischenko
Publisher : CRC Press
Page : 587 pages
File Size : 45,7 Mb
Release : 2018-10-10
Category : Mathematics
ISBN : 9780429784446

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Handbook of Mellin Transforms by Yu. A. Brychkov,O. I. Marichev,N. V. Savischenko Pdf

The Mellin transformation is widely used in various problems of pure and applied mathematics, in particular, in the theory of differential and integral equations and the theory of Dirichlet series. It is found in extensive applications in mathematical physics, number theory, mathematical statistics, theory of asymptotic expansions, and especially, in the theory of special functions and integral transformations. It is essentially used in algorithms of integration in computer algebra systems. Since the majority of integrals encountered in applications can be reduced to the form of the corresponding Mellin transforms with specific parameters, this handbook can also be used for definite and indefinite integrals. By changes in variables, the Mellin transform can be turned into the Fourier and Laplace transforms. The appendices contain formulas of connection with other integral transformations, and an algorithm for determining regions of convergence of integrals. The Handbook of Mellin Transforms will be of interest and useful to all researchers and engineers who use mathematical methods. It will become the main source of formulas of Mellin transforms, as well as indefinite and definite integrals.

The Transform and Data Compression Handbook

Kamisetty Ramam Rao,Patrick C. Yip
The Transform and Data Compression Handbook Book PDF

Author : Kamisetty Ramam Rao,Patrick C. Yip
Publisher : CRC Press
Page : 408 pages
File Size : 54,5 Mb
Release : 2018-10-03
Category : Computers
ISBN : 9781420037388

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The Transform and Data Compression Handbook by Kamisetty Ramam Rao,Patrick C. Yip Pdf

Data compression is one of the main contributing factors in the explosive growth in information technology. Without it, a number of consumer and commercial products, such as DVD, videophone, digital camera, MP3, video-streaming and wireless PCS, would have been virtually impossible. Transforming the data to a frequency or other domain enables even more efficient compression. By illustrating this intimate link, The Transform and Data Compression Handbook serves as a much-needed handbook for a wide range of researchers and engineers. The authors describe various discrete transforms and their applications in different disciplines. They cover techniques, such as adaptive quantization and entropy coding, that result in significant reduction in bit rates when applied to the transform coefficients. With clear and concise presentations of the ideas and concepts, as well as detailed descriptions of the algorithms, the authors provide important insight into the applications and their limitations. Data compression is an essential step towards the efficient storage and transmission of information. The Transform and Data Compression Handbook provides a wealth of information regarding different discrete transforms and demonstrates their power and practicality in data compression.

The Satellite Communication Applications Handbook

Bruce R. Elbert
The Satellite Communication Applications Handbook Book PDF

Author : Bruce R. Elbert
Publisher : Artech House
Page : 558 pages
File Size : 44,6 Mb
Release : 2004
Category : Technology & Engineering
ISBN : 1580538088

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The Satellite Communication Applications Handbook by Bruce R. Elbert Pdf

Since the publication of the best-selling first edition of The Satellite Communication Applications Handbook, the satellite communications industry has experienced explosive growth. Satellite radio, direct-to-home satellite television, satellite telephones, and satellite guidance for automobiles are now common and popular consumer products. Similarly, business, government, and defense organizations now rely on satellite communications for day-to-day operations. This second edition covers all the latest advances in satellite technology and applications including direct-to-home broadcasting, digital audio and video, and VSAT networks. Engineers get the latest technical insights into operations, architectures, and systems components.

H-Transforms

Anatoly A. Kilbas
H Transforms Book PDF

Author : Anatoly A. Kilbas
Publisher : CRC Press
Page : 399 pages
File Size : 45,9 Mb
Release : 2004-03-17
Category : Mathematics
ISBN : 9780203487372

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H-Transforms by Anatoly A. Kilbas Pdf

Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and nonlinear integral equations and provides an evaluation of approximate methods. Each section provides examples that show how methods can be applied to specific equations.

Handbook of Function and Generalized Function Transformations

Ahmed I. Zayed
Handbook of Function and Generalized Function Transformations Book PDF

Author : Ahmed I. Zayed
Publisher : CRC Press
Page : 684 pages
File Size : 48,6 Mb
Release : 2019-08-21
Category : Mathematics
ISBN : 9780429605390

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Handbook of Function and Generalized Function Transformations by Ahmed I. Zayed Pdf

Function transformations, which include linear integral transformations, are some of the most important mathematical tools for solving problems in all areas of engineering and the physical sciences. They allow one to quickly solve a problem by breaking it down into a series of smaller, more manageable problems. The author has compiled the most important and widely used of these function transforms in applied mathematics and electrical engineering. In addition to classical transforms, newer transforms such as wavelets, Zak, and Radon are included. The book is neither a table of transforms nor a textbook, but it is a source book that provides quick and easy access to the most important properties and formulas of function and generalized function transformations.

Handbook of Formulas and Tables for Signal Processing

Alexander D. Poularikas
Handbook of Formulas and Tables for Signal Processing Book PDF

Author : Alexander D. Poularikas
Publisher : CRC Press
Page : 872 pages
File Size : 42,9 Mb
Release : 1998-09-29
Category : Technology & Engineering
ISBN : 1420049704

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Handbook of Formulas and Tables for Signal Processing by Alexander D. Poularikas Pdf

Signal processing is a broad and timeless area. The term "signal" includes audio, video, speech, image, communication, geophysical, sonar, radar, medical, and more. Signal processing applies to the theory and application of filtering, coding, transmitting, estimating, detecting, analyzing, recognizing, synthesizing, recording, and reproducing signals. Handbook of Formulas and Tables for Signal Processing a must-have reference for all engineering professionals involved in signal and image processing. Collecting the most useful formulas and tables - such as integral tables, formulas of algebra, formulas of trigonometry - the text includes: Material for the deterministic and statistical signal processing areas Examples explaining the use of the given formula Numerous definitions Many figures that have been added to special chapters Handbook of Formulas and Tables for Signal Processing brings together - in one textbook - all the equations necessary for signal and image processing for professionals transforming anything from a physical to a manipulated form, creating a new standard for any person starting a future in the broad, extensive area of research.

The Illustrated Wavelet Transform Handbook

Paul S Addison
The Illustrated Wavelet Transform Handbook Book PDF

Author : Paul S Addison
Publisher : CRC Press
Page : 384 pages
File Size : 52,6 Mb
Release : 2002-07-15
Category : Science
ISBN : 1420033395

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The Illustrated Wavelet Transform Handbook by Paul S Addison Pdf

The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance provides an overview of the theory and practical applications of wavelet transform methods. The author uses several hundred illustrations, some in color, to convey mathematical concepts and the results of applications. The first chapter presents a brief overview of the wavelet transform, including a short history. The remainder of the book is split into two parts: the first part discusses the mathematics of both discrete and continuous wavelet transforms while the second part deals with applications in a variety of subject areas, such as geophysics, medicine, fluid turbulence, engineering testing, speech and sound analysis, image analysis, and data compression. These application chapters make the reader aware of the similarities that exist in the use of wavelet transform analysis across disciplines. A comprehensive list of more than 700 references provides a valuable resource for further study. The book is designed specifically for the applied reader in science, engineering, medicine, finance, or any other of the growing number of application areas. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, providing a large number of examples of their use across a wide range of disciplines. Readers already acquainted with wavelets can use the book to broaden their perspective.

Handbook of Mellin Transforms

Yu. A. Brychkov,O. I. Marichev,N. V. Savischenko
Handbook of Mellin Transforms Book PDF

Author : Yu. A. Brychkov,O. I. Marichev,N. V. Savischenko
Publisher : CRC Press
Page : 675 pages
File Size : 52,5 Mb
Release : 2018-10-10
Category : Mathematics
ISBN : 9780429784439

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Handbook of Mellin Transforms by Yu. A. Brychkov,O. I. Marichev,N. V. Savischenko Pdf

The Mellin transformation is widely used in various problems of pure and applied mathematics, in particular, in the theory of differential and integral equations and the theory of Dirichlet series. It is found in extensive applications in mathematical physics, number theory, mathematical statistics, theory of asymptotic expansions, and especially, in the theory of special functions and integral transformations. It is essentially used in algorithms of integration in computer algebra systems. Since the majority of integrals encountered in applications can be reduced to the form of the corresponding Mellin transforms with specific parameters, this handbook can also be used for definite and indefinite integrals. By changes in variables, the Mellin transform can be turned into the Fourier and Laplace transforms. The appendices contain formulas of connection with other integral transformations, and an algorithm for determining regions of convergence of integrals. The Handbook of Mellin Transforms will be of interest and useful to all researchers and engineers who use mathematical methods. It will become the main source of formulas of Mellin transforms, as well as indefinite and definite integrals.

Handbook of Integral Equations

Andrei D. Polyanin,Alexander V. Manzhirov
Handbook of Integral Equations Book PDF

Author : Andrei D. Polyanin,Alexander V. Manzhirov
Publisher : CRC Press
Page : 1143 pages
File Size : 55,9 Mb
Release : 2008-02-12
Category : Mathematics
ISBN : 9780203881057

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Handbook of Integral Equations by Andrei D. Polyanin,Alexander V. Manzhirov Pdf

Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa

Integral Transforms and Their Applications

Lokenath Debnath,Dambaru Bhatta
Integral Transforms and Their Applications Book PDF

Author : Lokenath Debnath,Dambaru Bhatta
Publisher : CRC Press
Page : 728 pages
File Size : 41,5 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 1420010913

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Integral Transforms and Their Applications by Lokenath Debnath,Dambaru Bhatta Pdf

Keeping the style, content, and focus that made the first edition a bestseller, Integral Transforms and their Applications, Second Edition stresses the development of analytical skills rather than the importance of more abstract formulation. The authors provide a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. The second edition includes many new applications, exercises, comments, and observations with some sections entirely rewritten. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises. The most significant changes in the second edition include: New chapters on fractional calculus and its applications to ordinary and partial differential equations, wavelets and wavelet transformations, and Radon transform Revised chapter on Fourier transforms, including new sections on Fourier transforms of generalized functions, Poissons summation formula, Gibbs phenomenon, and Heisenbergs uncertainty principle A wide variety of applications has been selected from areas of ordinary and partial differential equations, integral equations, fluid mechanics and elasticity, mathematical statistics, fractional ordinary and partial differential equations, and special functions A broad spectrum of exercises at the end of each chapter further develops analytical skills in the theory and applications of transform methods and a deeper insight into the subject A systematic mathematical treatment of the theory and method of integral transforms, the book provides a clear understanding of the subject and its varied applications in mathematics, applied mathematics, physical sciences, and engineering.

Transforms and Applications Primer for Engineers with Examples and MATLAB®

Alexander D. Poularikas
Transforms and Applications Primer for Engineers with Examples and MATLAB Book PDF

Author : Alexander D. Poularikas
Publisher : CRC Press
Page : 567 pages
File Size : 48,9 Mb
Release : 2018-09-03
Category : Technology & Engineering
ISBN : 9781420089325

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Transforms and Applications Primer for Engineers with Examples and MATLAB® by Alexander D. Poularikas Pdf

Transforms and Applications Primer for Engineers with Examples and MATLAB® is required reading for engineering and science students, professionals, and anyone working on problems involving transforms. This invaluable primer contains the most essential integral transforms that both practicing engineers and students need to understand. It provides a large number of examples to explain the use of transforms in different areas, including circuit analysis, differential equations, signals and systems, and mechanical vibrations. Includes an appendix with suggestions and explanations to help you optimize your use of MATLAB Laplace and Fourier transforms are by far the most widely used and most useful of all integral transforms, so they are given a more extensive treatment in this book, compared to other texts that include them. Offering numerous MATLAB functions created by the author, this comprehensive book contains several appendices to complement the main subjects. Perhaps the most important feature is the extensive tables of transforms, which are provided to supplement the learning process. This book presents advanced material in a format that makes it easier to understand, further enhancing its immense value as a teaching tool for engineers and research scientists in academia and industry, as well as students in science and engineering.

Fast Fourier Transform - Algorithms and Applications

K.R. Rao,Do Nyeon Kim,Jae Jeong Hwang
Fast Fourier Transform Algorithms and Applications Book PDF

Author : K.R. Rao,Do Nyeon Kim,Jae Jeong Hwang
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 43,6 Mb
Release : 2011-02-21
Category : Mathematics
ISBN : 9781402066290

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Fast Fourier Transform - Algorithms and Applications by K.R. Rao,Do Nyeon Kim,Jae Jeong Hwang Pdf

This book presents an introduction to the principles of the fast Fourier transform. This book covers FFTs, frequency domain filtering, and applications to video and audio signal processing. As fields like communications, speech and image processing, and related areas are rapidly developing, the FFT as one of essential parts in digital signal processing has been widely used. Thus there is a pressing need from instructors and students for a book dealing with the latest FFT topics. This book provides thorough and detailed explanation of important or up-to-date FFTs. It also has adopted modern approaches like MATLAB examples and projects for better understanding of diverse FFTs.

Mastering the Discrete Fourier Transform in One, Two or Several Dimensions

Isaac Amidror
Mastering the Discrete Fourier Transform in One Two or Several Dimensions Book PDF

Author : Isaac Amidror
Publisher : Springer Science & Business Media
Page : 375 pages
File Size : 47,6 Mb
Release : 2013-07-19
Category : Mathematics
ISBN : 9781447151678

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Mastering the Discrete Fourier Transform in One, Two or Several Dimensions by Isaac Amidror Pdf

The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines. However, its use requires caution. The aim of this book is to explain the DFT and its various artifacts and pitfalls and to show how to avoid these (whenever possible), or at least how to recognize them in order to avoid misinterpretations. This concentrated treatment of the DFT artifacts and pitfalls in a single volume is, indeed, new, and it makes this book a valuable source of information for the widest possible range of DFT users. Special attention is given to the one and two dimensional cases due to their particular importance, but the discussion covers the general multidimensional case, too. The book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular. Mastering the Discrete Fourier Transform in One, Two or Several Dimensions is intended for scientists, engineers, students and any readers who wish to widen their knowledge of the DFT and its practical use. This book will also be very useful for ‘naive’ users from various scientific or technical disciplines who have to use the DFT for their respective applications. The prerequisite mathematical background is limited to an elementary familiarity with calculus and with the continuous and discrete Fourier theory.