Open AccessSpatial information in phased‐array radar
Author(s) -
Xu Dazhuan,
Shi Chao,
Zhou Ying,
Tu Weilin
Publication year - 2020
Publication title -
iet communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.355
H-Index - 62
eISSN - 1751-8636
pISSN - 1751-8628
DOI - 10.1049/iet-com.2019.1068
Subject(s) - computer science , mutual information , radar , upper and lower bounds , entropy (arrow of time) , information theory , a priori and a posteriori , algorithm , phased array , remote sensing , mathematics , telecommunications , statistics , artificial intelligence , physics , geography , mathematical analysis , philosophy , epistemology , quantum mechanics , antenna (radio)
In this study, the application of information theory to describe radar measurement problems is investigated. In Shannon's information theory, mutual information is used to quantify the reduction in the a priori uncertainty of the transmitted message. Similarly, the authors define the spatial information in the phased‐array radar as the mutual information between range, direction of arrival (DOA), scattering properties, and the received signal. Such information content is composed of two parts. The first part is range‐DOA information. The theoretical expression and its asymptotic upper bound are presented in a single target scenario. It is concluded that the range information is independent of DOA information at high signal‐to‐noise ratio. The relationship between the upper bound and the Cramér‐Rao bound is discussed. The second part is scattering information. The corresponding expression is formulated theoretically. Based on spatial information, the authors put forth a definition of entropy error (EE) to evaluate the estimation performance in the phased‐array radar. Numerical simulation of the information content confirms their theoretical observations. The regularity of information change reflects the information acquisition efficiency of a radar system, providing guidance for system designers. Numerical results of EE are also presented to demonstrate its effectiveness as an evaluation index.