Fourier Analysis - A Signal Processing Approach

Title: Fourier Analysis - A Signal Processing Approach | Author(s): D. Sundararajan |Publisher: Springer | Year: 2018 | Language: English | Pages : 365 | ISBN: 978-981-13-1693-7| Size: 7 MB  | Extension: pdf

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 (10 chapters)

• Signals

  Sundararajan, D.

  Pages 1-29

• The Discrete Fourier Transform

  Sundararajan, D.

  Pages 31-55

• Properties of the DFT

  Sundararajan, D.

  Pages 57-80

• Two-Dimensional DFT

  Sundararajan, D.

  Pages 81-112

• Convolution and Correlation

  Sundararajan, D.

  Pages 113-158

• Aliasing and Leakage

  Sundararajan, D.

  Pages 159-178

• Fourier Series

  Sundararajan, D.

  Pages 179-216

• The Discrete-Time Fourier Transform

  Sundararajan, D.

  Pages 217-248

• The Fourier Transform

  Sundararajan, D.

  Pages 249-292

• Fast Computation of the DFT

  Sundararajan, D.

  Pages 293-319