Robertson, Vince (2012) Time frequency analysis in signal processing. Research World, Delhi, India. ISBN 978-81-323-3110-0
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Abstract
In signal processing, time–frequency analysis is a body of techniques and methods used for characterizing and manipulating signals whose statistics vary in time, such as transient signals. It is a generalization and refinement of Fourier analysis, for the case when the signal frequency characteristics are varying with time. Since many signals of interest – such as speech, music, images, and medical signals – have changing frequency characteristics, time–frequency analysis has broad scope of applications. Whereas the technique of the Fourier transform can be extended to obtain the frequency spectrum of any slowly growing locally integrable signal this requires a complete description of the signal's behavior over all time. Indeed, one can think of points in the (spectral) frequency domain as smearing together information from across the entire time domain. While mathematically elegant such a technique is not appropriate for analyzing a signal with indeterminate future behavior. For instance one must presuppose some degree of indeterminate future behavior in any telecommunications systems to achieve non-zero entropy (if you already know what the other guy will say you can't learn anything). To harness the power of a frequency representation without the need of a complete characterization in the time domain, one first obtains a time–frequency distribution of the signal, which represents the signal in both the time and frequency domains simultaneously. In such a representation the frequency domain will only reflect the behavior of a temporally localized version of the signal. This enables one to talk sensibly about signals whose component frequencies vary in time.
| Item Type: | Book |
|---|---|
| Subjects: | T Technology > TK Electrical engineering. Electronics Nuclear engineering |
| Divisions: | Electronic Books |
| Depositing User: | Practical Student 02 |
| Date Deposited: | 27 Feb 2022 07:27 |
| Last Modified: | 25 Jul 2022 03:56 |
| URI: | http://odlsystem2.utm.my/id/eprint/2885 |
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