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Discrete And Continuous Fourier Transforms

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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 And Continuous Fourier Transforms

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

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

Theory Of Discrete And Continuous Fourier Analysis

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Author : H. Joseph Weaver
language : en
Publisher: Wiley-Interscience
Release Date : 1989-01-17

Theory Of Discrete And Continuous Fourier Analysis written by H. Joseph Weaver and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-17 with Mathematics categories.

A companion volume to Weaver's Applications of Discrete and Continuous Fourier Analysis (Wiley, 1983). Addresses the theoretical and analytical aspects of Fourier analysis, including topics usually found only in more advanced treatises. Provides background information before going on to cover such topics as existence of the inner product, distribution theory, Fourier series representation of complex functions, properties and behavior of the Fourier transform, Fourier transform of a distribution, physical interpretation of convolution, the fast Fourier transform, sampling a function, and much more. Includes exercises, problems, applications, over 150 illustrations, and a Fourier transform FORTRAN subroutine.

Spectral Audio Signal Processing

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Author : Julius Orion Smith
language : en
Publisher:
Release Date : 2007

Spectral Audio Signal Processing written by Julius Orion Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Computer sound processing categories.

"Spectral Audio Signal Processing is the fourth book in the music signal processing series by Julius O. Smith. One can say that human hearing occurs in terms of spectral models. As a result, spectral models are especially useful in audio applications. For example, with the right spectral model, one can discard most of the information contained in a sound waveform without changing how it sounds. This is the basis of modern audio compression techniques."--Publisher's description.

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 Mathematics 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 WalshOCoHadamard 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. OC www.wspc.com/others/software/4610/OCO. The above links should be replaced with. OC www.worldscientific.com/doi/suppl/10.1142/4610/suppl_file/4610_software_free.zipOCO. Contents: The Discrete Sinusoid; The Discrete Fourier Transform; Properties of the DFT; Fundamentals of the PM DFT Algorithms; The u X 1 PM DFT Algorithms; The 2 X 2 PM DFT Algorithms; DFT Algorithms for Real Data OCo I; DFT Algorithms for Real Data OCo II; Two-Dimensional Discrete Fourier Transform; Aliasing and Other Effects; The Continuous-Time Fourier Series; The Continuous-Time Fourier Transform; Convolution and Correlation; Discrete Cosine Transform; Discrete WalshOCoHadamard Transform. Readership: Upper level undergraduate students, graduates, researchers and lecturers in engineering and applied mathematics."

The Dft

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Author : William L. Briggs
language : en
Publisher: SIAM
Release Date : 1995-01-01

The Dft written by William L. Briggs and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.

This book explores both the practical and theoretical aspects of the Discrete Fourier Transform, one of the most widely used tools in science, engineering, and computational mathematics. Designed to be accessible to an audience with diverse interests and mathematical backgrounds, the book is written in an informal style and is supported by many examples, figures, and problems. Conceived as an "owner's" manual, this comprehensive book covers such topics as the history of the DFT, derivations and properties of the DFT, comprehensive error analysis, issues concerning the implementation of the DFT in one and several dimensions, symmetric DFTs, a sample of DFT applications, and an overview of the FFT.

Music Through Fourier Space

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Author : Emmanuel Amiot
language : en
Publisher: Springer
Release Date : 2016-10-26

Music Through Fourier Space written by Emmanuel Amiot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-26 with Computers categories.

This book explains the state of the art in the use of the discrete Fourier transform (DFT) of musical structures such as rhythms or scales. In particular the author explains the DFT of pitch-class distributions, homometry and the phase retrieval problem, nil Fourier coefficients and tilings, saliency, extrapolation to the continuous Fourier transform and continuous spaces, and the meaning of the phases of Fourier coefficients. This is the first textbook dedicated to this subject, and with supporting examples and exercises this is suitable for researchers and advanced undergraduate and graduate students of music, computer science and engineering. The author has made online supplementary material available, and the book is also suitable for practitioners who want to learn about techniques for understanding musical notions and who want to gain musical insights into mathematical problems.

The Fourier Transform And Its Applications

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Author : Ronald Newbold Bracewell
language : en
Publisher:
Release Date : 1978

The Fourier Transform And Its Applications written by Ronald Newbold Bracewell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Fourier transformations categories.

The Analytical Theory Of Heat

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Author : Jean-Baptiste-Joseph Fourier
language : en
Publisher:
Release Date : 1878

The Analytical Theory Of Heat written by Jean-Baptiste-Joseph Fourier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1878 with Heat categories.

Discrete And Continuous Fourier Transforms

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