Time-frequency chirp-Wigner transform for signals with any nonlinear polynomial time varying instantaneous frequency

被引:15
作者
Gelman, L. [1 ]
Gould, J. D. [1 ]
机构
[1] Cranfield Univ, Sch Engn, Dept Proc & Syst Engn, Cranfield MK43 0AL, Beds, England
基金
英国工程与自然科学研究理事会;
关键词
wigner distribution-; Time-frequency analysis; Nonlinear variation of the instantaneous frequency; Amplitude estimation;
D O I
10.1016/j.ymssp.2007.05.003
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The new technique, the time-frequency chirp-Wigner transform has been proposed recently. This technique is further investigated for the general case of higher order chirps, i.e. non-stationary signals with any nonlinear polynomial variation of the instantaneous frequency in time. Analytical and numerical comparison of the chirp-Wigner transform and the classical Wigner distribution was performed for processing of single-component and multi-component higher order chirps. It is shown for the general case of single component higher order chirps that the chirp-Wigner transform has an essential advantage in comparison with the traditional Wigner distribution: the chirp-Wigner transform ideally follows the nonlinear polynomial frequency variation without amplitude errors. It is shown for multi-component signal where each component is a higher order chirp, that the chirp-Wigner transform adjusted to a single component will follow the instantaneous frequency of the component without amplitude errors. It is also shown that the classical Wigner distribution is unable to estimate component amplitudes of single component and multi-component higher order chirps. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2980 / 3002
页数:23
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