Analysis of statistical resolution limit based on Rao test

Minhong SUN; Yanfang LIU; Hua ZHONG; Jianrong BAO

doi:10.11959/j.issn.1000−0801.2017113

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Analysis of statistical resolution limit based on Rao test

research and development | 更新时间：2024-06-05

- Analysis of statistical resolution limit based on Rao test
- Telecommunications Science Vol. 33, Issue 7, Pages: 93-102(2017)
- 作者机构：
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- DOI：10.11959/j.issn.1000−0801.2017113
  CLC： TN911.7
- Published Online：2017-07，
  
  Published：20 July 2017
- 稿件说明：
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Minhong SUN, Yanfang LIU, Hua ZHONG, et al. Analysis of statistical resolution limit based on Rao test[J]. Telecommunications science, 2017, 33(7): 93-102.
DOI：

Minhong SUN, Yanfang LIU, Hua ZHONG, et al. Analysis of statistical resolution limit based on Rao test[J]. Telecommunications science, 2017, 33(7): 93-102. DOI： 10.11959/j.issn.1000−0801.2017113.

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。

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.

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references

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