Fourier Analysis—A Signal Processing Approach

✍ Scribed by Sundararajan, D.

• Publisher: Springer Singapore
• Year: 2018
• Tongue: English
• Leaves: 359
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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