电子学报 ›› 2022, Vol. 50 ›› Issue (2): 284-294.DOI: 10.12263/DZXB.20200684
华小强1, 程永强2, 王宏强2, 王勇献1, 张理论1
收稿日期:
2020-07-09
修回日期:
2021-08-24
出版日期:
2022-02-25
通讯作者:
作者简介:
基金资助:
HUA Xiao-qiang1, CHENG Yong-qiang2, WANG Hong-qiang2, WANG Yong-xian1, ZHANG Li-lun1
Received:
2020-07-09
Revised:
2021-08-24
Online:
2022-02-25
Published:
2022-02-25
Corresponding author:
Supported by:
摘要:
本文以矩阵信息几何理论为基础,提出一种新的信号检测器框架,该检测器将样本数据建模为正定矩阵,利用参考单元对应正定矩阵的几何中值来估计杂波协方差矩阵,从而将信号检测问题转化为度量矩阵流形上两点间的差异性大小,通过比较流形上两点间的差异值与阈值大小来实现信号检测.此外,深入分析了流形上不同几何度量所反映出的几何结构差异,并依据各向异性定义了几何度量的区分能力描述子.由于几何度量的区分性较好,并且几何中值对干扰具有较好的鲁棒性,因此,矩阵信息几何中值检测器在小样本、非均匀环境下具有较好的性能.实验结果表明,与自适应匹配滤波相比,所提出的信号检测器在小样本、非均匀环境下具有明显的性能优势.
中图分类号:
华小强, 程永强, 王宏强, 等. 矩阵信息几何中值检测器[J]. 电子学报, 2022, 50(2): 284-294.
Xiao-qiang HUA, Yong-qiang CHENG, Hong-qiang WANG, et al. Matrix Information Geometric Median Detectors[J]. Acta Electronica Sinica, 2022, 50(2): 284-294.
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