A student’s guide to Fourier transforms : with applications in physics and engineering

✍ Scribed by J. F. James

• Publisher: Cambridge University Press
• Year: 2002
• Tongue: English
• Leaves: 147
• Edition: 2
• Category: Library

✦ Synopsis

Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular 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-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.

✦ Table of Contents

Content: Physics and Fourier transforms --
Useful properties and theorems --
Applications 1: Fraunhofer diffraction --
Applications 2: signal analysis and communication theory --
Applications 3: spectroscopy and spectral line shapes --
Two-dimensional Fourier transforms --
Multi-dimensional Fourier transforms --
The formal complex Fourier transform.