Adaptive Radar Detection in the Presence of Multiple Alternative Hypotheses Using Kullback-Leibler Information Criterion-Part I: Detector Designs

被引:32
作者
Addabbo, Pia [1 ]
Han, Sudan [2 ]
Biondi, Filippo [3 ]
Giunta, Gaetano [4 ]
Orlando, Danilo [5 ]
机构
[1] Univ Giustino Fortunato, I-00166 Rome, Italy
[2] Def Innovat Inst, Beijing 100071, Peoples R China
[3] Univ Aquila, Dept Engn, I-67100 Laquila, Italy
[4] Univ Roma Tre, Dept Engn, I-00146 Rome, Italy
[5] Univ Niccolo Cusano, Fac Engn, I-00166 Rome, Italy
关键词
Radar; Radar detection; Radar signal processing; Jamming; Testing; Radar tracking; Radar scattering; Adaptive radar detection; constant false alarm rate; generalized likelihood ratio test; kullback-leibler information criterion; model order selection; multiple alternative hypothesis testing; CFAR DETECTION; DETECTION ALGORITHMS; MATCHED-FILTER; TARGET; SIGNALS; CLUTTER; ORDER;
D O I
10.1109/TSP.2021.3089440
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, we develop a new elegant systematic framework relying on the Kullback-Leibler Information Criterion to approach the design of one-stage adaptive detection architectures for multiple hypothesis testing problems in radar. Specifically, at the design stage, we assume that one out of several alternative hypotheses may be in force and that only one null hypothesis exists. Then, starting from the case where all the parameters are known and proceeding towards the adaptivity with respect to the entire parameter set, we come up with decision schemes for multiple alternative hypotheses consisting of the sum between the compressed log-likelihood ratio based upon the available data and a penalty term accounting for the number of unknown parameters. Such a term arises from suitable approximations of the Kullback-Leibler Divergence between the true and a candidate probability density function. Interestingly, under specific constraints, the proposed decision schemes can share the constant false alarm rate property by virtue of the Invariance Principle. Finally, we also show that the new architectures can be viewed as the result of a suitable regularization of the log-likelihood.
引用
收藏
页码:3730 / 3741
页数:12
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