Adaptive Dolph-Chebyshev window-based S transform in time-frequency analysis

Adaptive Dolph-Chebyshev window-based S transform in time-frequency analysis
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DOI：
10.1049/iet-spr.2013.0400
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发表时间：
2014-12
期刊：
IET Signal Process.
影响因子：
--
通讯作者：
Wenxuan Yao;Zhaosheng Teng;Qiu Tang;Peili Zuo
Wenxuan Yao;Zhaosheng Teng;Qiu Tang;Peili Zuo
中科院分区：
其他
文献类型：
--
作者：
Wenxuan Yao;Zhaosheng Teng;Qiu Tang;Peili Zuo

文献摘要

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S变换在时频分析中有着广泛的应用。然而，标准的S变换的缺点是时频分布（TFD）的能量集中性差。在这项研究中，一个自适应Dolph-Chebyshev窗口，而不是基于高斯窗口的S变换及其快速实现策略，介绍了非平稳信号TFA。通过自适应地控制Dolph-Chebyshev窗的形状，新的TFA方法能够在TFD中实现高能量集中。此外，新方法在瞬时频率估计方面也优于其他经典方法，具有上级的优点。几个例子来说明它的行为在不同的信号，并证明其有效性。
The S transform is widely used in time-frequency analysis (TFA). However, the standard S transform suffers from the poor energy concentration in time-frequency distribution (TFD). In this study, an adaptive Dolph–Chebyshev window instead of the Gaussian window-based S transform and its fast realisation strategy are introduced for non-stationary signal TFA. By controlling the shape of the Dolph–Chebyshev window adaptively to signal, the new TFA method is able to achieve a high energy concentration in TFD. In addition, the new method is superior to other classical methods for instantaneous frequency estimation. Several examples are presented to illustrate its behaviour on different signals and demonstrate its validity.