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|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.
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.
Contents
1. The Generalizations of the Fourier Transform
2. Hybrid Transforms
3. Scaled Ambiguity Function Associated with Quadratic-Phase Fourier Transform
4. Analytical Expressions of Infinite Fourier Sine and Cosine Transform-Based Ramanujan Integrals RS,C(m, n) in Terms of Hypergeometric Series 2F3(⋅)
5. Cascaded-Resonator-Based Recursive Harmonic Analysis
Contents of Download:
Time Frequency Analysis of Some Generalized Fourier Transforms.pdf (5.79 MB)
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