基于Rao检验的信号统计分辨界分析

doi:10.11959/j.issn.1000?0801.2017113

电信科学 ›› 2017, Vol. 33 ›› Issue (7): 93-102.doi: 10.11959/j.issn.1000?0801.2017113

基于Rao检验的信号统计分辨界分析

孙闽红,刘艳芳,钟华,包建荣

杭州电子科技大学通信工程学院，浙江杭州 310018

修回日期:2017-04-21 出版日期:2017-07-01 发布日期:2017-07-25
作者简介:孙闽红（1974?），男，博士，杭州电子科技大学通信工程学院副教授，主要研究方向为雷达/通信信号处理、电子对抗。|刘艳芳（1987?），女，杭州电子科技大学通信工程学院硕士生，主要研究方向为信号处理。|钟华（1978?），男，博士，杭州电子科技大学通信工程学院讲师，主要研究方向为通信/雷达信号处理、电子对抗等。|包建荣（1978?），男，博士，杭州电子科技大学通信工程学院副教授，主要研究方向为空间通信及信号处理、无线协作通信等。
基金资助:
国家自然科学基金资助项目(61271214);国家自然科学基金资助项目(61301248);浙江省自然科学基金重点资助项目(LZ14F010003)

Analysis of statistical resolution limit based on Rao test

Minhong SUN,Yanfang LIU,Hua ZHONG,Jianrong BAO

School of Communication Engineering,Hangzhou Dianzi University,Hangzhou 310018,China

Revised:2017-04-21 Online:2017-07-01 Published:2017-07-25
Supported by:
The National Natural Science Foundation of China(61271214);The National Natural Science Foundation of China(61301248);Key Program of Zhejiang Provincial Natural Science Foundation of China(LZ14F010003)

摘要/Abstract

摘要：

针对基于广义似然比检验（GLRT）的信号统计分辨界（SRL）分析存在计算较复杂、难以得到检测统计量解析表达式等问题，提出了一种基于Rao检测的SRL分析方法。分析了噪声方差已知和未知两种情形下的信号一维方位角SRL以及噪声方差已知时的信号二维方位角及俯仰角SRL，推导得到了Rao检测统计量以及对应 SRL 所需的最小信噪比（SNR），分析了检测性能、计算复杂度，并与 GLRT 方法进行了对比。仿真实验验证了Rao检测方法的有效性。

关键词: 统计分辨界, 统计检测, 参数估计, Rao检验, 广义似然比检验

Abstract:

Since the approach of analyzing statistical resolution limit (SRL) based on generalized likelihood ratio test (GLRT) has the problems of high computational complexity and isn’t easy to get the analytical formula of the detection statistics,a method for the analysis of the SRL based on Rao test was proposed.The unidimensional SRL of azimuth under the cases of known and unknown noise variance,two-dimensional SRL of azimuth and elevation under the case of known noise variance were analyzed.The Rao test detection statistic and the minimum SNR required for the corresponding SRL were derived,the detection performance and the computational complexity of the Rao test were analyzed and compared with the GLRT method.Simulation results verify the validity of the Rao test.

Key words: statistical resolution limit, statistical test, parameter estimation, Rao test, generalized likelihood ratio test

中图分类号:

TN911.7

孙闽红,刘艳芳,钟华,包建荣. 基于Rao检验的信号统计分辨界分析[J]. 电信科学, 2017, 33(7): 93-102.

Minhong SUN,Yanfang LIU,Hua ZHONG,Jianrong BAO. Analysis of statistical resolution limit based on Rao test[J]. Telecommunications Science, 2017, 33(7): 93-102.

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基于Rao检验的信号统计分辨界分析

Analysis of statistical resolution limit based on Rao test

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