Fourier Analysis: A Signal Processing Approach, 2nd edition

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 Fourier Analysis is a sound understanding of calculus, linear algebra, signals and systems, and programming at the undergraduate level.

• Introduces Fourier analysis starting from the most commonly used discrete version with compact and practical algorithms
• Provides physical explanations of the intricate mathematical concepts and supplementary MATLAB programs
• Offers a concise and clear presentation of Fourier analysis and numerical approximation of FS, DTFT, and FT by the DFT