Fast Fourier Transform Algorithms And Applications


Fast Fourier Transform Algorithms And Applications
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Fast Fourier Transform Algorithms And Applications


Fast Fourier Transform Algorithms And Applications
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Author : K.R. Rao
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-21

Fast Fourier Transform Algorithms And Applications written by K.R. Rao 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 2011-02-21 with Mathematics categories.


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.



Fast Fourier Transform Algorithms And Applications


Fast Fourier Transform Algorithms And Applications
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Author : K. R. Rao
language : en
Publisher: Springer
Release Date : 2012-12-01

Fast Fourier Transform Algorithms And Applications written by K. R. Rao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-01 with Mathematics categories.


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.



Fast Fourier Transform And Convolution Algorithms


Fast Fourier Transform And Convolution Algorithms
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Author : Henri J. Nussbaumer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fast Fourier Transform And Convolution Algorithms written by Henri J. Nussbaumer 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 Mathematics categories.


In the first edition of this book, we covered in Chapter 6 and 7 the applications to multidimensional convolutions and DFT's of the transforms which we have introduced, back in 1977, and called polynomial transforms. Since the publication of the first edition of this book, several important new developments concerning the polynomial transforms have taken place, and we have included, in this edition, a discussion of the relationship between DFT and convolution polynomial transform algorithms. This material is covered in Appendix A, along with a presentation of new convolution polynomial transform algorithms and with the application of polynomial transforms to the computation of multidimensional cosine transforms. We have found that the short convolution and polynomial product algorithms of Chap. 3 have been used extensively. This prompted us to include, in this edition, several new one-dimensional and two-dimensional polynomial product algorithms which are listed in Appendix B. Since our book is being used as part of several graduate-level courses taught at various universities, we have added, to this edition, a set of problems which cover Chaps. 2 to 8. Some of these problems serve also to illustrate some research work on DFT and convolution algorithms. I am indebted to Mrs A. Schlageter who prepared the manuscript of this second edition. Lausanne HENRI J. NUSSBAUMER April 1982 Preface to the First Edition This book presents in a unified way the various fast algorithms that are used for the implementation of digital filters and the evaluation of discrete Fourier transforms.



Fast Fourier Transforms


Fast Fourier Transforms
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Author : C. Sidney Burrus
language : en
Publisher: Lulu.com
Release Date :

Fast Fourier Transforms written by C. Sidney Burrus and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computer science categories.




The Fast Fourier Transform Algorithm And Its Applications


The Fast Fourier Transform Algorithm And Its Applications
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Author : J. W. Colley
language : en
Publisher:
Release Date : 1967

The Fast Fourier Transform Algorithm And Its Applications written by J. W. Colley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Algorithms categories.




Discrete And Continuous Fourier Transforms


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



Fourier Related Transforms Fast Algorithms And Applications


Fourier Related Transforms Fast Algorithms And Applications
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Author : Okan K. Ersoy
language : en
Publisher: Prentice Hall
Release Date : 1997

Fourier Related Transforms Fast Algorithms And Applications written by Okan K. Ersoy and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.


Presenting an introduction to all Fourier-related transforms, this work includes a number of applications in the different markets. The accompanying disk provides C and Fortran routines that can be implemented.



Digital Signal Processing Algorithms


Digital Signal Processing Algorithms
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Author : Hari Krishna
language : en
Publisher: Routledge
Release Date : 2017-11-22

Digital Signal Processing Algorithms written by Hari Krishna and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Technology & Engineering categories.


Digital Signal Processing Algorithms describes computational number theory and its applications to deriving fast algorithms for digital signal processing. It demonstrates the importance of computational number theory in the design of digital signal processing algorithms and clearly describes the nature and structure of the algorithms themselves. The book has two primary focuses: first, it establishes the properties of discrete-time sequence indices and their corresponding fast algorithms; and second, it investigates the properties of the discrete-time sequences and the corresponding fast algorithms for processing these sequences. Digital Signal Processing Algorithms examines three of the most common computational tasks that occur in digital signal processing; namely, cyclic convolution, acyclic convolution, and discrete Fourier transformation. The application of number theory to deriving fast and efficient algorithms for these three and related computationally intensive tasks is clearly discussed and illustrated with examples. Its comprehensive coverage of digital signal processing, computer arithmetic, and coding theory makes Digital Signal Processing Algorithms an excellent reference for practicing engineers. The authors' intent to demystify the abstract nature of number theory and the related algebra is evident throughout the text, providing clear and precise coverage of the quickly evolving field of digital signal processing.



Fast Transforms Algorithms Analyses Applications


Fast Transforms Algorithms Analyses Applications
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Author : Douglas F. Elliott
language : en
Publisher: Elsevier
Release Date : 1983-03-09

Fast Transforms Algorithms Analyses Applications written by Douglas F. Elliott and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-03-09 with Mathematics categories.


This book has grown from notes used by the authors to instruct fast transform classes. One class was sponsored by the Training Department of Rockwell International, and another was sponsored by the Department of Electrical Engineering of The University of Texas at Arlington. Some of the material was also used in a short course sponsored by the University of Southern California. The authors are indebted to their students for motivating the writing of this book and for suggestions to improve it.



Algorithms For Discrete Fourier Transform And Convolution


Algorithms For Discrete Fourier Transform And Convolution
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Author : Richard Tolimieri
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Algorithms For Discrete Fourier Transform And Convolution written by Richard Tolimieri 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 2013-03-09 with Technology & Engineering categories.


This graduate-level text provides a language for understanding, unifying, and implementing a wide variety of algorithms for digital signal processing - in particular, to provide rules and procedures that can simplify or even automate the task of writing code for the newest parallel and vector machines. It thus bridges the gap between digital signal processing algorithms and their implementation on a variety of computing platforms. The mathematical concept of tensor product is a recurring theme throughout the book, since these formulations highlight the data flow, which is especially important on supercomputers. Because of their importance in many applications, much of the discussion centres on algorithms related to the finite Fourier transform and to multiplicative FFT algorithms.