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On a new Wigner-Ville distribution associated with linear canonical transform
EURASIP Journal on Advances in Signal Processing ( IF 1.7 ) Pub Date : 2021-08-03 , DOI: 10.1186/s13634-021-00753-3
Hong-Cai Xin 1, 2 , Bing-Zhao Li 1, 2
Affiliation  

Linear canonical transform as a general integration transform has been considered into Wigner-Ville distribution (WVD) to show more powerful ability for non-stationary signal processing. In this paper, a new WVD associated with linear canonical transform (WVDL) and integration form of WVDL (IWVDL) are presented. First, the definition of WVDL is derived based on new autocorrelation function and some properties are investigated in details. It removes the coupling between time and time delay and lays the foundation for signal analysis and processing. Then, based on the characteristics of WVDL over time-frequency plane, a new parameter estimation method, IWVDL, is proposed for linear modulation frequency (LFM) signal. Two phase parameters of LFM signal are estimated simultaneously and the cross term can be suppressed well by integration operator. Finally, compared with classical WVD, the simulation experiments are carried out to verify its better estimation and suppression of cross term ability. Error analysis and computational cost are discussed to show superior performance compared with other WVD in linear canonical transform domain. The further application in radar imaging field will be studied in the future work.



中文翻译:

与线性正则变换相关的新 Wigner-Ville 分布

线性正则变换作为一种通用的积分变换被考虑到维格纳-维尔分布(WVD)中,以显示更强大的非平稳信号处理能力。在本文中,提出了一种与线性规范变换 (WVDL) 相关的新 WVD 和 WVDL (IWVDL) 的集成形式。首先,基于新的自相关函数推导出WVDL的定义,并详细研究了一些性质。它消除了时延和时延之间的耦合,为信号分析和处理奠定了基础。然后,基于WVDL在时频平面上的特性,提出了一种新的线性调制频率(LFM)信号参数估计方法IWVDL。同时估计LFM信号的两个相位参数,积分算子可以很好地抑制交叉项。最后,与经典WVD相比,通过仿真实验验证了其更好的估计和抑制交叉项能力。讨论了误差分析和计算成本,以显示与线性规范变换域中其他 WVD 相比的优越性能。在未来的工作中将研究在雷达成像领域的进一步应用。

更新日期:2021-08-03
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