UID:
edoccha_9961356352502883
Format:
1 online resource (98 pages)
ISBN:
1-83768-460-X
Content:
In the world of physical science, important physical quantities like sound, pressure, electrical current, voltage, and electromagnetic fields vary with time. Such quantities are labeled as signals/waveforms and include oral signals, optical signals, acoustic signals, biomedical signals, radar, and sonar. Time-frequency analysis is a vital aid in signal analysis, which is concerned with how the frequency of a function (or signal) behaves in time, and it has evolved into a widely recognized applied discipline of signal processing. This book discusses the Fourier transform (FT), which is one of the most valuable and widely used integral transforms that converts a signal from time versus amplitude to frequency versus amplitude. It is one of the oldest tools in the time-frequency analysis of signals. The book includes five chapters that discuss general Fourier transforms as well as new and novel transforms such as hybrid transforms, quadratic-phase Fourier transforms, fractional Fourier transforms, linear canonical transforms, and more.
Note:
Introductory Chapter: The Generalizations of the Fourier Transform -- Hybrid Transforms -- Scaled Ambiguity Function Associated with Quadratic-Phase Fourier Transform -- Analytical Expressions of Infinite Fourier Sine and Cosine Transform-Based Ramanujan Integrals RS,C(m, n) in Terms of Hypergeometric Series 2F3(⋅) -- Perspective Chapter: Cascaded-Resonator-Based Recursive Harmonic Analysis.
Additional Edition:
ISBN 1-83768-459-6
Language:
English
DOI:
10.5772/intechopen.104023
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