Description
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 undergraduatelevel.
Table of Contents
Preface.- Signals.- The Discrete Fourier Transform.- Properties of the DFT.- Two-Dimensional DFT.- Convolution and Correlation.- Aliasing and Leakage.- Fourier Series.- The Discrete-Time Fourier Transform.- The Fourier Transform.- Fast Computation of the DFT.- A Transform Pairs and Properties.- B Useful Mathematical Formulas.- Bibliography.- Answers to Selected Exercises.- Index.
