Undergraduate Lecture Notes in Physics

Digital Fourier Analysis: Fundamentals

Authors: Kido, Ken'iti

  • Covers the basic theory of the discrete and Fast Fourier transform and shows how they are implemented, using clear explanations and a large number of step-by-step illustrations
  • Interactive animated applets, freely available online, richly illustrate the book and allow the reader to explore the subject dynamically
  • Practice problems are included at the end of each chapter
  • A large number of Appendices provide more detailed derivations and explanations for the interested reader
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  • ISBN 978-1-4614-9260-3
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  • Immediate eBook download after purchase
Softcover $49.99
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  • ISBN 978-1-4614-9259-7
  • Free shipping for individuals worldwide
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Rent the ebook  
  • Rental duration: 1 or 6 month
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  • online reader with highlighting and note-making option
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About this Textbook

This textbook is a thorough, accessible introduction to digital Fourier analysis for undergraduate students in the sciences. Beginning with the principles of sine/cosine decomposition, the reader walks through the principles of discrete Fourier analysis before reaching the cornerstone of signal processing: the Fast Fourier Transform.

Saturated with clear, coherent illustrations, "Digital Fourier Analysis" includes practice problems and thorough Appendices for the advanced reader. As a special feature, the book includes interactive applets (available online) that mirror the illustrations. These user-friendly applets animate concepts interactively, allowing the user to experiment with the underlying mathematics.

For example, a real sine signal can be treated as a sum of clockwise and counter-clockwise rotating vectors. The applet illustration included with the book animates the rotating vectors and the resulting sine signal. By changing parameters such as amplitude and frequency, the reader can test various cases and view the results until they fully understand the principle.

Additionally, the applet source code in Visual Basic is provided online, allowing this book to be used for teaching simple programming techniques.

A complete, intuitive guide to the basics, "Digital Fourier Analysis - Fundamentals" is an essential reference for undergraduate students in science and engineering.

About the authors

Professor Kido is an internationally recognized expert in acoustics and engineering. Currently a professor at the Chiba Institute of Technology, Prof. Kido previously served as the Chairman of ONTEK R&D Co. Ltd., and earlier as the Director of the Research Center for Applied Information Sciences at Tohoku University. Prof. Kido was elected as a fellow of the Acoustical Society of America in 1978. He has published eight books in Japanese over a span of forty years.

Reviews

“This first volume of a two-volume series explores, as the title implies, the fundamentals of digital Fourier analysis, including some advanced topics in the appendixes. … Kido (Chiba Institute of Technology, Japan) does an excellent job of balancing a verbal explanation of the topics with mathematical formulas and equations. This combination makes the book very readable. … Summing Up: Recommended. Upper-division undergraduates and graduate students.” (S. L. Sullivan, Choice, Vol. 52 (10), June, 2015)

“This short and to-the-point book comprises the following seven chapters, and is replete with marvelously clear and effective graphs and illustrations: ‘Sine and Cosine Waves’; ‘Fourier Series Expansion[s]’; ‘Digitized Waveforms’; ‘Discrete Fourier Transform (DFT)’; ‘Fast Fourier Transform’; ‘DFT and [Its] Spectrum’; and ‘Time Window[s].’ … I recommend this excellent undergraduate textbook highly.” (George Hacken, Computing Reviews, January, 2015)


Table of contents (7 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-1-4614-9260-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-1-4614-9259-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Digital Fourier Analysis: Fundamentals
Authors
Series Title
Undergraduate Lecture Notes in Physics
Copyright
2015
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-1-4614-9260-3
DOI
10.1007/978-1-4614-9260-3
Softcover ISBN
978-1-4614-9259-7
Series ISSN
2192-4791
Edition Number
1
Number of Pages
XIII, 203
Number of Illustrations and Tables
2 b/w illustrations, 114 illustrations in colour
Topics