空军工程大学学报2024,Vol.25Issue(5) :107-114.DOI:10.3969/j.issn.2097-1915.2024.05.014

基于自适应参数估计的微动时频表征重构方法

A Reconstruction Method of Micro-Motion TFR Based on Adaptive Parameter Estimation

李开明 王欢 解岩 陈卓 高泽岳
空军工程大学学报2024,Vol.25Issue(5) :107-114.DOI:10.3969/j.issn.2097-1915.2024.05.014

基于自适应参数估计的微动时频表征重构方法

A Reconstruction Method of Micro-Motion TFR Based on Adaptive Parameter Estimation

李开明 1王欢 2解岩 3陈卓 2高泽岳4
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作者信息

  • 1. 空军工程大学信息与导航学院,西安,710077;信息感知技术协同创新中心,西安,710077
  • 2. 西安电子工程研究所总体二部,西安,710100
  • 3. 四川省政府服务和公共资源交易服务中心,成都,610000
  • 4. 95894部队,北京,112211
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摘要

针对数据缺失条件下的目标微动回波时频表征重构问题,提出了一种基于自适应参数估计的微动时频表征重构方法.首先,将缺失的微动时频表征重构问题建模为基于LP范数最小化的稀疏重构问题,其次,引入哈达玛积参数将Lp范数最小化稀疏重构问题转化为多个L2范数联合最小化问题,并采用迭代吉洪诺夫正则化求解,同时在每次迭代过程中根据重构结果自适应估计正则化参数,最后,采用除偏处理减小了重构时频表征的振幅衰减.与传统微动回波时频表征重构方法相比,所提方法避免了需要人工设置正则化参数不足的问题,并且重构的时频表征更加完整.仿真实验和实测数据处理结果验证了所提方法的有效性和稳健性.

Abstract

In view of the time-frequency representation(TFR)reconstruction of the micro-motion signals under conditions of incomplete data,a reconstruction method of micro-motion is proposed based on the adaptive parame-ter estimation.Firstly,the missing micro-motion TFR reconstruction problem is modeled on the Lp norm minimi-zation sparse reconstruction problem,and by introducing Hadamard product parameter(HPP),the Lp norm min-imization sparse reconstruction problem is transferred to a joint minimization problem with multiple L2 norm,and solved by using iterative Tikhonov regularization.Simultaneously,the regularization parameter is estimated adap-tively in each iteration based on reconstruction results.Finally,the amplitude decay of the reconstructed TFR is reduced by the de-biasing process.Compared with the traditional micro-motion echo time-frequency representation reconstruction method,the proposed method avoids the disadvantage of setting the regularization parameter manu-ally,and the reconstructed TFR is more complete.The effectiveness and robustness of the proposed method is verified by simulation and measured data processing.

关键词

微多普勒效应/信号重构/稀疏优化/参数估计/时频分析

Key words

micro-Doppler effect/signal reconstruction/sparse optimization/parameter estimation/time-frequency analysis

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基金项目

国家自然科学基金面上项目(62371468)

国家自然科学基金面上项目(62301599)

国家自然科学基金面上项目(62271500)

国家自然科学基金面上项目(62131020)

出版年

2024
空军工程大学学报
空军工程大学科研部

空军工程大学学报

CSTPCD北大核心
影响因子:0.55
ISSN:2097-1915
参考文献量2
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