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

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 o...

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Main Authors: Chaozhu Zhang, Jing Zhang, Chengyuan Liu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/369103
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author Chaozhu Zhang
Jing Zhang
Chengyuan Liu
author_facet Chaozhu Zhang
Jing Zhang
Chengyuan Liu
author_sort Chaozhu Zhang
collection DOAJ
description 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.
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publishDate 2013-01-01
publisher Wiley
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series The Scientific World Journal
spelling doaj-art-9bbef4741a69448bb65ab5a0963e53bf2025-08-20T02:18:27ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/369103369103Rao and Wald Tests for Adaptive Detection in Partially Homogeneous Environment with a Diversely Polarized AntennaChaozhu Zhang0Jing Zhang1Chengyuan Liu2College of Information and Communications Engineering, Harbin Engineering University, Harbin, Heilongjiang 150001, ChinaCollege of Information and Communications Engineering, Harbin Engineering University, Harbin, Heilongjiang 150001, ChinaCollege of Information and Communications Engineering, Harbin Engineering University, Harbin, Heilongjiang 150001, ChinaThis 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.http://dx.doi.org/10.1155/2013/369103
spellingShingle Chaozhu Zhang
Jing Zhang
Chengyuan Liu
Rao and Wald Tests for Adaptive Detection in Partially Homogeneous Environment with a Diversely Polarized Antenna
The Scientific World Journal
title Rao and Wald Tests for Adaptive Detection in Partially Homogeneous Environment with a Diversely Polarized Antenna
title_full Rao and Wald Tests for Adaptive Detection in Partially Homogeneous Environment with a Diversely Polarized Antenna
title_fullStr Rao and Wald Tests for Adaptive Detection in Partially Homogeneous Environment with a Diversely Polarized Antenna
title_full_unstemmed Rao and Wald Tests for Adaptive Detection in Partially Homogeneous Environment with a Diversely Polarized Antenna
title_short Rao and Wald Tests for Adaptive Detection in Partially Homogeneous Environment with a Diversely Polarized Antenna
title_sort rao and wald tests for adaptive detection in partially homogeneous environment with a diversely polarized antenna
url http://dx.doi.org/10.1155/2013/369103
work_keys_str_mv AT chaozhuzhang raoandwaldtestsforadaptivedetectioninpartiallyhomogeneousenvironmentwithadiverselypolarizedantenna
AT jingzhang raoandwaldtestsforadaptivedetectioninpartiallyhomogeneousenvironmentwithadiverselypolarizedantenna
AT chengyuanliu raoandwaldtestsforadaptivedetectioninpartiallyhomogeneousenvironmentwithadiverselypolarizedantenna