Analysis of adaptive short-time Fourier transform-based synchrosqueezing transform

被引:21
|
作者
Cai, Haiyan [1 ]
Jiang, Qingtang [1 ]
Li, Lin [1 ]
Suter, Bruce W. [2 ]
机构
[1] Univ Missouri St Louis, Dept Math & Comp Sci, St Louis, MO 63121 USA
[2] US Air Force, Res Lab, AFRL RITB, Rome, NY 13441 USA
关键词
Adaptive short-time Fourier transform; adaptive synchrosqueezing transform; instantaneous frequency estimation; multicomponent signal separation; INSTANTANEOUS FREQUENCY; SIGNALS; REPRESENTATIONS; DECOMPOSITION; REASSIGNMENT; DEMODULATION; ALGORITHM;
D O I
10.1142/S0219530520400047
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Recently, the study of modeling a non-stationary signal as a superposition of amplitude and frequency-modulated Fourier-like oscillatory modes has been a very active research area. The synchrosqueezing transform (SST) is a powerful method for instantaneous frequency estimation and component separation of non-stationary multicomponent signals. The short-time Fourier transform-based SST (FSST) reassigns the frequency variable to sharpen the time-frequency representation and to separate the components of a multicomponent non-stationary signal. Very recently the FSST with a time-varying parameter, called the adaptive FSST, was introduced. The simulation experiments show that the adaptive FSST is very promising in instantaneous frequency estimation of the component of a multicomponent signal, and in accurate component recovery. However, the theoretical analysis of the adaptive FSST has not been carried out. In this paper, we study the theoretical analysis of the adaptive FSST and obtain the error bounds for the instantaneous frequency estimation and component recovery with the adaptive FSST and the second-order adaptive FSST.
引用
收藏
页码:71 / 105
页数:35
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