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Fourier Analysis—A Signal Processing Approach

Authors: Sundararajan, D.

  • Introduces Fourier analysis starting from the most commonly used discrete version
  • Presents compact and practical algorithms
  • Is replete with tables, figures, and examples
  • Provides physical explanations of the intricate mathematical concepts and supplementary MATLAB programs
  • Offers a concise and clear presentation of Fourier analysis and numerical approximation of FS, DTFT and FS by the DFT
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eBook $69.99
price for USA in USD
  • ISBN 978-981-13-1693-7
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $89.99
price for USA in USD
Softcover $89.99
price for USA in USD
About this Textbook

This book sheds new light on Transform methods, which dominate the study of linear time-invariant systems in all areas of science and engineering, such as circuit theory, signal/image processing, communications, controls, vibration analysis, remote sensing, biomedical systems, optics and acoustics. It presents Fourier analysis primarily using physical explanations with waveforms and/or examples, only using mathematical formulations to the extent necessary for its practical use. Intended as a textbook for senior undergraduates and graduate level Fourier analysis courses in engineering and science departments, and as a supplementary textbook for a variety of application courses in science and engineering, the book is also a valuable reference for anyone – student or professional – specializing in practical applications of Fourier analysis. The prerequisite for reading this book is a sound understanding of calculus, linear algebra, signals and systems, and programming at the undergraduate level.

About the authors

Dr. D. Sundararajan holds a B.E. in Electrical Engineering from Madras University and an M.Tech. in Electrical Engineering from the Indian Institute of Technology Chennai (IIT Chennai). He obtained his Ph.D. in Electrical Engineering at Concordia University, Montreal, Canada in 1988. As the principal inventor of the latest family of discrete Fourier transform (DFT) algorithms, he holds three patents (granted by the US, Canada and Britain). Further, he has published several papers in IEEE Transactions and in the Proceedings of the IEEE Conference, and he is the author of five books. He has taught undergraduate and graduate classes in digital signal processing, digital image processing, engineering mathematics, programming, operating systems and digital logic design at Concordia University, Canada, Nanyang Technological University, Singapore, and Adhiyamaan College of Engineering, India. He has also conducted workshops on Digital image processing, MATLAB and LaTeX.

Over the course of his engineering career, he has held positions at the National Aerospace Laboratory, Bangalore, and the National Physical Laboratory, New Delhi, where he worked on the design of digital and analog signal processing systems.

Reviews

“The Fourier analysis is mainly presented from a practical point of view, where the mathematical theory is very simplified. This book is mainly written for broad readership of graduate students and researchers in physics, computer science, and engineering with special interest in signal processing. … Doubtless, this textbook will stimulate the practical education in the Fourier analysis and its applications in signal processing.” (Manfred Tasche, zbMATH 1407.94002, 2019)

Table of contents (10 chapters)

Table of contents (10 chapters)
  • Signals

    Pages 1-29

    Sundararajan, D.

  • The Discrete Fourier Transform

    Pages 31-55

    Sundararajan, D.

  • Properties of the DFT

    Pages 57-80

    Sundararajan, D.

  • Two-Dimensional DFT

    Pages 81-112

    Sundararajan, D.

  • Convolution and Correlation

    Pages 113-158

    Sundararajan, D.

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-981-13-1693-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA in USD
Softcover $89.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Fourier Analysis—A Signal Processing Approach
Authors
Copyright
2018
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-1693-7
DOI
10.1007/978-981-13-1693-7
Hardcover ISBN
978-981-13-1692-0
Softcover ISBN
978-981-13-4665-1
Edition Number
1
Number of Pages
XV, 359
Number of Illustrations
108 b/w illustrations
Topics

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