A Student's Guide to Fourier Transforms - J. F. James

A Student's Guide to Fourier Transforms

With Applications in Physics and Engineering

(Autor)

Buch | Softcover
156 Seiten
2011 | 3rd Revised edition
Cambridge University Press (Verlag)
978-0-521-17683-5 (ISBN)
32,40 inkl. MwSt
A concise introduction to Fourier transforms, this updated edition includes new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert–Zernike theorem, Babinet's principle and dipole arrays. It is invaluable to students of physics, electrical and electronic engineering, and computer science.
Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert–Zernike theorem, Babinet's principle and dipole arrays.

John James has held teaching positions at the University of Minnesota, Queen's University, Belfast and the University of Manchester. He is a Fellow of the Royal Astronomical Society, a member of the Optical Society of America and of the International Astronomical Union. His research interests include the invention, design and construction of astronomical instruments and their use in astronomy, cosmology and upper-atmosphere physics.

1. Physics and Fourier transforms; 2. Useful properties and theorems; 3. Applications 1: Fraunhofer diffraction; 4. Applications 2: signal analysis and communication theory; 5. Applications 3: spectroscopy and spectral line shapes; 6. Two-dimensional Fourier transforms; 7. Multi-dimensional Fourier transforms; 8. The formal complex Fourier transform; 9. Discrete and digital Fourier transforms; 10. Appendix; 11. Bibliography; 12. Index.

Erscheint lt. Verlag 31.3.2011
Reihe/Serie Student's Guides
Zusatzinfo 73 Line drawings, unspecified
Verlagsort Cambridge
Sprache englisch
Maße 153 x 228 mm
Gewicht 260 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Angewandte Physik
Technik Elektrotechnik / Energietechnik
Schlagworte Fourier-Transformation
ISBN-10 0-521-17683-2 / 0521176832
ISBN-13 978-0-521-17683-5 / 9780521176835
Zustand Neuware
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