Digital Fourier Analysis: Fundamentals
Seiten
2014
|
2015 ed.
Springer-Verlag New York Inc.
978-1-4614-9259-7 (ISBN)
Springer-Verlag New York Inc.
978-1-4614-9259-7 (ISBN)
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.
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.
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.
Preface.- Sine and Cosine Waves.- Fourier Series Expansion.- Numerical (sampled) Waveforms.- Discrete Fourier transform (DFT).- Fast Fourier transform (FFT).- DFT and spectrum.- Time window. Appendices.
| Reihe/Serie | Undergraduate Lecture Notes in Physics | Undergraduate Lecture Notes in Physics |
|---|---|
| Zusatzinfo | 114 Illustrations, color; 2 Illustrations, black and white; XIII, 203 p. 116 illus., 114 illus. in color. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | discrete Fourier transform • Fast Fourier transform • Fourier Transform in Visual Basic • Fourier Transform Learning Tools • Numerical Methods in Visual Basic • Sine and Cosine Components • Spectrum analysis |
| ISBN-10 | 1-4614-9259-9 / 1461492599 |
| ISBN-13 | 978-1-4614-9259-7 / 9781461492597 |
| Zustand | Neuware |
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