# Fast Fourier Transform - Algorithms and Applications

## Benefits

• Specific applications in signal and image processing

• Web/ftp sites, computer projects, Integer FFT, Basics of MATLAB, M-Files

• Ridgelets, curvelets, nonuniform DFT

Textbook

Part of the Signals and Communication Technology book series (SCT)

1. Front Matter
Pages i-xviii
2. K. R. Rao, D. N. Kim, J. J. Hwang
Pages 1-3
3. K. R. Rao, D. N. Kim, J. J. Hwang
Pages 5-40
4. K. R. Rao, D. N. Kim, J. J. Hwang
Pages 41-110
5. K. R. Rao, D. N. Kim, J. J. Hwang
Pages 111-126
6. K. R. Rao, D. N. Kim, J. J. Hwang
Pages 127-184
7. K. R. Rao, D. N. Kim, J. J. Hwang
Pages 185-193
8. K. R. Rao, D. N. Kim, J. J. Hwang
Pages 195-234
9. K. R. Rao, D. N. Kim, J. J. Hwang
Pages 235-316
10. Back Matter
Pages 317-423

### Introduction

Fast Fourier Transform - Algorithms and Applications presents an introduction to the principles of the fast Fourier transform (FFT). It 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 the 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.

Fast Fourier Transform - Algorithms and Applications provides a 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 is designed for senior undergraduate and graduate students, faculty, engineers, and scientists in the field, and self-learners to understand FFTs and directly apply them to their fields, efficiently. It is designed to be both a text and a reference. Thus examples, projects and problems all tied with MATLAB, are provided for grasping the concepts concretely. It also includes references to books and review papers and lists of applications, hardware/software, and useful websites. By including many figures, tables, bock diagrams and graphs, this book helps the reader understand the concepts of fast algorithms readily and intuitively. It provides new MATLAB functions and MATLAB source codes. The material in Fast Fourier Transform - Algorithms and Applications is presented without assuming any prior knowledge of FFT. This book is for any professional who wants to have a basic understanding of the latest developments in and applications of FFT. It provides a good reference for any engineer planning to work in this field, either in basic implementation or in research and development.

### Keywords

Applications Discrete Fourier Transform Distribution Fast Algorithms Fourier transform Signal and image processing communication convolution fast Fourier transform fast Fourier transform (FFT)

#### Authors and affiliations

1. 1.Electr. Engineering, Neddermann HallUniv. of Texas at ArlingtonArlingtonUSA
2. 2.Electr. Engineering, Neddermann HallUniv. of Texas at ArlingtonArlingtonUSA
3. 3.School of Electron.&Inform. EngineeringKunsan National Univ.KunsanKorea, Republic of (South Korea)

Prof. K. R. Rao received the Ph. D. degree in electrical engineering from The University of New Mexico, Albuquerque in 1966. Since 1966, he has been with the University of Texas at Arlington where he is currently a professor of electrical engineering. He, along with two other researchers, introduced the Discrete Cosine Transform in 1975 which has since become very popular in digital signal processing. Some of his books have been translated into Japanese, Chinese, Korean and Russian. He has conducted workshops/tutorials on video/audio coding/standards worldwide. He has published extensively in refereed journals and has been a consultant to industry, research institutes and academia. He is a Fellow of the IEEE.

### Bibliographic information

• Book Title Fast Fourier Transform - Algorithms and Applications
• Authors K.R. Rao
Do Nyeon Kim
Jae Jeong Hwang
• Series Title Signals and Communication Technology
• Series Abbreviated Title Signals, Communication Technology
• DOI https://doi.org/10.1007/978-1-4020-6629-0
• Publisher Name Springer, Dordrecht
• eBook Packages Engineering Engineering (R0)
• Hardcover ISBN 978-1-4020-6628-3
• Softcover ISBN 978-94-007-3359-6
• eBook ISBN 978-1-4020-6629-0
• Series ISSN 1860-4862
• Edition Number 1
• Number of Pages XVIII, 426
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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