Title
Information Geometry for Radar Target Detection with Total Jensen-Bregman Divergence.
Abstract
This paper proposes a radar target detection algorithm based on information geometry. In particular, the correlation of sample data is modeled as a Hermitian positive-definite (HPD) matrix. Moreover, a class of total Jensen-Bregman divergences, including the total Jensen square loss, the total Jensen log-determinant divergence, and the total Jensen von Neumann divergence, are proposed to be used as the distance-like function on the space of HPD matrices. On basis of these divergences, definitions of their corresponding median matrices are given. Finally, a decision rule of target detection is made by comparing the total Jensen-Bregman divergence between the median of reference cells and the matrix of cell under test with a given threshold. The performance analysis on both simulated and real radar data confirm the superiority of the proposed detection method over its conventional counterparts and existing ones.
Year
DOI
Venue
2018
10.3390/e20040256
ENTROPY
Keywords
Field
DocType
information geometry,Hemitian positive-definite matrix,total Jensen-Bregman divergence,median matrix,radar target detection
Radar,Decision rule,Applied mathematics,Information geometry,Mathematical optimization,Divergence,Matrix (mathematics),Bregman divergence,Hermitian matrix,Mathematics,Von Neumann architecture
Journal
Volume
Issue
ISSN
20
4
1099-4300
Citations 
PageRank 
References 
1
0.36
7
Authors
5
Name
Order
Citations
PageRank
Xiaoqiang Hua181.88
Haiyan Fan21268.13
Yongqiang Cheng313329.99
Hongqiang Wang4699.96
Yuliang Qin514227.06