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The Scientific World Journal
Volume 2013, Article ID 369103, 13 pages
Research Article

Rao and Wald Tests for Adaptive Detection in Partially Homogeneous Environment with a Diversely Polarized Antenna

College of Information and Communications Engineering, Harbin Engineering University, Harbin, Heilongjiang 150001, China

Received 27 April 2013; Accepted 14 July 2013

Academic Editors: S. Bourennane, C. Fossati, J. Marot, and K. Spinnler

Copyright © 2013 Chaozhu Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This study considers Rao test and Wald test for adaptive detection based on a diversely polarized antenna (DPA) in partially homogeneous environment. The theoretical expressions for the probability of false alarm and detection are derived, and constant false alarm rate (CFAR) behaviour is remarked on. Furthermore, the monotonicities of detection probability of the two detectors are proved, and a polarization optimization detection algorithm to enhance the detection performance is proposed. The numerical simulations are conducted to attest to the validity of the above theoretical analysis and illustrate the improvement in the detection performance of the proposed optimization algorithm.