Target Detection within Nonhomogeneous Clutter Via Total Bregman Divergence-Based Matrix Information Geometry Detectors

Xiaoqiang Hua, Yusuke Ono, Linyu Peng, Yongqiang Cheng, Hongqiang Wang

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

Information divergences are commonly used to measure the dissimilarity of two elements on a statistical manifold. Differentiable manifolds endowed with different divergences may possess different geometric properties, which can result in totally different performances in many practical applications. In this paper, we propose a total Bregman divergence-based matrix information geometry (TBD-MIG) detector and apply it to detect targets emerged into nonhomogeneous clutter. In particular, each sample data is assumed to be modeled as a Hermitian positive-definite (HPD) matrix and the clutter covariance matrix is estimated by the TBD mean of a set of secondary HPD matrices. We then reformulate the problem of signal detection as discriminating two points on the HPD matrix manifold. Three TBD-MIG detectors, referred to as the total square loss, the total log-determinant and the total von Neumann MIG detectors, are proposed, and they can achieve great performances due to their power of discrimination and robustness to interferences. Simulations show the advantage of the proposed TBD-MIG detectors in comparison with the geometric detector using an affine invariant Riemannian metric as well as the adaptive matched filter in nonhomogeneous clutter.

Original languageEnglish
Article number9479799
Pages (from-to)4326-4340
Number of pages15
JournalIEEE Transactions on Signal Processing
Volume69
DOIs
Publication statusPublished - 2021

Keywords

  • Matrix information geometry (MIG) detector
  • Matrix manifold
  • Nonhomogeneous clutter
  • Total Bregman divergence (TBD)

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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