LFM signal analysis based on synchrosqueezing-Hough transform

Jinshun Shen, Jun-gang Yang
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Abstract

The synchrosqueezing transform is a time-frequency (TF) analysis tool to process non-stationary signals. Unfortunately, it does not produce accurate TF results when faced with LFM signals. In this paper, we propose synchrosqueezing-Hough transform (SS-HT) to address this problem. First, we introduce Hough transform to obtain more accurate instantaneous frequency (IF) estimation. Then, in order to improve the TF concentration, a new TF rearrangement operator is constructed. Furthermore, we demonstrated that SS-HT has the ability to reconstruct the signal. The experimental results prove that SSHT can not only obtain high TF concentration, but also improve the accuracy of IF estimation and parameters estimation of LFM signals.
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基于同步压缩-霍夫变换的LFM信号分析
同步压缩变换是一种处理非平稳信号的时频分析工具。不幸的是,当面对LFM信号时,它不能产生准确的TF结果。在本文中,我们提出了同步压缩-霍夫变换(SS-HT)来解决这个问题。首先,我们引入霍夫变换来获得更精确的瞬时频率估计。然后,为了提高TF浓度,构造了一个新的TF重排算子。此外,我们证明了SS-HT具有重建信号的能力。实验结果证明,SSHT不仅可以获得较高的TF浓度,而且可以提高LFM信号中频估计和参数估计的精度。
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