Discrete Transforms And Their Applications

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Discrete Transforms And Their Applications

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Author : Kamisetty Ramamohan Rao
language : en
Publisher: Malabar, Fla. : R.E. Krieger Publishing Company
Release Date : 1990

Discrete Transforms And Their Applications written by Kamisetty Ramamohan Rao and has been published by Malabar, Fla. : R.E. Krieger Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

Discrete Fourier Transforms And Their Applications

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Author : Vaclav Cizek
language : en
Publisher: CRC Press
Release Date : 1986-01-01

Discrete Fourier Transforms And Their Applications written by Vaclav Cizek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Mathematics categories.

This text is designed to be a practial handbook on the evaluation and application of one of the major techniques for discrete signal processing. Knowledge of the discrete Fourier transform (DFT) and the ability to construct alogorithms based on the techniques of fast Fourier analysis are essential prerequisites for communications and cybernetics engineers. These methods are also of inestimable value to applied scientists in many other fields. The treatment given here is aimed specifically at such experimentalists and practitioners, and includes only such mathematical development as is necessary to give a feel for the significance of the methods, and to promote proficiency in its use. An introductory discourse on the general theory of Fourier series and transforms is followed by a thorough review of the properties and means of computation of the DFT. The fast Fourier transform is presented as a particularly efficient algorithm for DFT evaluation, and is described in some detail. Some applications of DFT's are discussed, and the book is rounded off with an introduction to discrete Hilbert transforms. Examples are provided throughout the text, and a full bibliography provides the basis for further study of the mathematical theory and specific areas of application.

The Discrete Fourier Transform

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Author : D. Sundararajan
language : en
Publisher: World Scientific
Release Date : 2001

The Discrete Fourier Transform written by D. Sundararajan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Technology & Engineering categories.

This authoritative book provides comprehensive coverage of practical Fourier analysis. It develops the concepts right from the basics and gradually guides the reader to the advanced topics. It presents the latest and practically efficient DFT algorithms, as well as the computation of discrete cosine and Walsh-Hadamard transforms. The large number of visual aids such as figures, flow graphs and flow charts makes the mathematical topic easy to understand. In addition, the numerous examples and the set of C-language programs (a supplement to the book) help greatly in understanding the theory and algorithms. Discrete Fourier analysis is covered first, followed by the continuous case, as the discrete case is easier to grasp and is very important in practice.This book will be useful as a text for regular or professional courses on Fourier analysis, and also as a supplementary text for courses on discrete signal processing, image processing, communications engineering and vibration analysis.Errata(s)Preface, Page viii?www.wspc.com/others/software/4610/?The above links should be replaced with?www.worldscientific.com/doi/suppl/10.1142/4610/suppl_file/4610_software_free.zip?

Integral And Discrete Transforms With Applications And Error Analysis

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Author : Abdul Jerri
language : en
Publisher: CRC Press
Release Date : 2021-11-18

Integral And Discrete Transforms With Applications And Error Analysis written by Abdul Jerri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-18 with Mathematics categories.

This reference/text desribes the basic elements of the integral, finite, and discrete transforms - emphasizing their use for solving boundary and initial value problems as well as facilitating the representations of signals and systems.;Proceeding to the final solution in the same setting of Fourier analysis without interruption, Integral and Discrete Transforms with Applications and Error Analysis: presents the background of the FFT and explains how to choose the appropriate transform for solving a boundary value problem; discusses modelling of the basic partial differential equations, as well as the solutions in terms of the main special functions; considers the Laplace, Fourier, and Hankel transforms and their variations, offering a more logical continuation of the operational method; covers integral, discrete, and finite transforms and trigonometric Fourier and general orthogonal series expansion, providing an application to signal analysis and boundary-value problems; and examines the practical approximation of computing the resulting Fourier series or integral representation of the final solution and treats the errors incurred.;Containing many detailed examples and numerous end-of-chapter exercises of varying difficulty for each section with answers, Integral and Discrete Transforms with Applications and Error Analysis is a thorough reference for analysts; industrial and applied mathematicians; electrical, electronics, and other engineers; and physicists and an informative text for upper-level undergraduate and graduate students in these disciplines.

Discrete And Continuous Fourier Transforms

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Author : Eleanor Chu
language : en
Publisher: CRC Press
Release Date : 2008-03-19

Discrete And Continuous Fourier Transforms written by Eleanor Chu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-19 with Mathematics categories.

Long employed in electrical engineering, the discrete Fourier transform (DFT) is now applied in a range of fields through the use of digital computers and fast Fourier transform (FFT) algorithms. But to correctly interpret DFT results, it is essential to understand the core and tools of Fourier analysis. Discrete and Continuous Fourier Transform

Discrete Transforms And Their Applications

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Author : Kamisetty Ramamohan Rao
language : en
Publisher:
Release Date : 1985

Discrete Transforms And Their Applications written by Kamisetty Ramamohan Rao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Electrical engineering categories.

Mathematics Of The Discrete Fourier Transform Dft

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Author : Julius O. Smith
language : en
Publisher: Julius Smith
Release Date : 2008

Mathematics Of The Discrete Fourier Transform Dft written by Julius O. Smith and has been published by Julius Smith this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Fourier transformations categories.

"The DFT can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, and that is the focus of this book. The DFT is normally encountered as the Fast Fourier Transform (FFT)--a high-speed algorithm for computing the DFT. The FFT is used extensively in a wide range of digital signal processing applications, including spectrum analysis, high-speed convolution (linear filtering), filter banks, signal detection and estimation, system identification, audio compression (such as MPEG-II AAC), spectral modeling sound synthesis, and many others. In this book, certain topics in digital audio signal processing are introduced as example applications of the DFT"--Back cover

Handbook For Digital Signal Processing

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Author : Sanjit K. Mitra
language : en
Publisher: Wiley-Interscience
Release Date : 1993-07-26

Handbook For Digital Signal Processing written by Sanjit K. Mitra and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-26 with Computers categories.

A reference work on all aspects and applications of digital signal processing, which covers the design of hardware and software systems, and the principles and applications of video processing, communications, sonar and radar.

1997 Ieee International Conference On Acoustics Speech And Signal Processing

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Author :
language : en
Publisher:
Release Date : 1997

1997 Ieee International Conference On Acoustics Speech And Signal Processing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.

Discrete Transforms

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Author : J.M. Firth
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Discrete Transforms written by J.M. Firth 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 2012-12-06 with Science categories.

The analysis of signals and systems using transform methods is a very important aspect of the examination of processes and problems in an increasingly wide range of applications. Whereas the initial impetus in the development of methods appropriate for handling discrete sets of data occurred mainly in an electrical engineering context (for example in the design of digital filters), the same techniques are in use in such disciplines as cardiology, optics, speech analysis and management, as well as in other branches of science and engineering. This text is aimed at a readership whose mathematical background includes some acquaintance with complex numbers, linear differen tial equations, matrix algebra, and series. Specifically, a familiarity with Fourier series (in trigonometric and exponential forms) is assumed, and an exposure to the concept of a continuous integral transform is desirable. Such a background can be expected, for example, on completion of the first year of a science or engineering degree course in which transform techniques will have a significant application. In other disciplines the readership will be past the second year undergraduate stage. In either case, the text is also intended for earlier graduates whose degree courses did not include this type of material and who now find themselves, in a professional capacity, requiring a knowledge of discrete transform methods.