Fourier Analysis—A Signal Processing Approach

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 undergraduate level. 1 Signals..............1 2 The Discrete Fourier Transform ..............31 3 Properties of the DFT..............56 4 TwoDimensional DFT..............81 5 Convolution and Correlation..............113 6 Aliasing and Leakage..............159 7 Fourier Series..............179 8 The DiscreteTime Fourier Transform..............217