Statistical Resolution Limit Analysis of Two Closely Spaced Signal Sources Using Rao Test

被引:19
作者
Sun, Minhong [1 ]
Jiang, Dingde [2 ]
Song, Houbing [3 ]
Liu, Yanfeng [1 ]
机构
[1] Hangzhou Dianzi Univ, Sch Commun Engn, Hangzhou 310018, Zhejiang, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Aeronaut & Astronaut, Chengdu 611731, Sichuan, Peoples R China
[3] Embry Riddle Aeronaut Univ, Dept Elect Comp Software & Syst Engn, Daytona Beach, FL 32114 USA
基金
美国国家科学基金会;
关键词
Detection and estimation; GLRT; Rao test; statistical resolution limit; POINT SOURCES; SOURCE LOCALIZATION; MIMO RADAR; RESOLVABILITY; INTERFERENCE; DOA;
D O I
10.1109/ACCESS.2017.2760885
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
High computational complexity and difficulty in taking an analytical expression of detection statistics are some of the problems encountered when using the statistical resolution limit (SRL) analysis in the generalized likelihood ratio test (GLRT). A Rao test-based method is used in this paper to analyze the 1-D SRL of two closely spaced signals, which can simplify the derivation of detection statistics, reduce the computational complexity, and improve the detection performance in some scenarios. In the proposed approach, two cases are considered based on the interference sources that are either involved or not in the received signals. Moreover, in each case, the detection statistic is derived by assuming the known or unknown variance of the added noise, respectively. For the performance comparison, the GLRT detection statistic is also identified. The relationship between the SRL and the required minimum signal-to-noise ratio/signal-to-interference-plus-noise ratio is also obtained to resolve the two adjacent signal sources. Then, the detection performance and computational complexity are evaluated. The simulation results are used to verify the effectiveness and superiority of the Rao test.
引用
收藏
页码:22013 / 22022
页数:10
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