Analysis of statistical resolution limit based on Rao test
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 p...
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| Format: | Article |
| Language: | zho |
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Beijing Xintong Media Co., Ltd
2017-07-01
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| Series: | Dianxin kexue |
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| Online Access: | http://www.telecomsci.com/zh/article/doi/10.11959/j.issn.1000−0801.2017113/ |
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| _version_ | 1841530107517206528 |
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| author | Minhong SUN Yanfang LIU Hua ZHONG Jianrong BAO |
| author_facet | Minhong SUN Yanfang LIU Hua ZHONG Jianrong BAO |
| author_sort | Minhong SUN |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0a634aebd72642e38edf1b601f00562f |
| institution | Kabale University |
| issn | 1000-0801 |
| language | zho |
| publishDate | 2017-07-01 |
| publisher | Beijing Xintong Media Co., Ltd |
| record_format | Article |
| series | Dianxin kexue |
| spelling | doaj-art-0a634aebd72642e38edf1b601f00562f2025-01-15T03:12:31ZzhoBeijing Xintong Media Co., LtdDianxin kexue1000-08012017-07-01339310259601286Analysis of statistical resolution limit based on Rao testMinhong SUNYanfang LIUHua ZHONGJianrong BAOSince 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.http://www.telecomsci.com/zh/article/doi/10.11959/j.issn.1000−0801.2017113/statistical resolution limitstatistical testparameter estimationRao testgeneralized likelihood ratio test |
| spellingShingle | Minhong SUN Yanfang LIU Hua ZHONG Jianrong BAO Analysis of statistical resolution limit based on Rao test Dianxin kexue statistical resolution limit statistical test parameter estimation Rao test generalized likelihood ratio test |
| title | Analysis of statistical resolution limit based on Rao test |
| title_full | Analysis of statistical resolution limit based on Rao test |
| title_fullStr | Analysis of statistical resolution limit based on Rao test |
| title_full_unstemmed | Analysis of statistical resolution limit based on Rao test |
| title_short | Analysis of statistical resolution limit based on Rao test |
| title_sort | analysis of statistical resolution limit based on rao test |
| topic | statistical resolution limit statistical test parameter estimation Rao test generalized likelihood ratio test |
| url | http://www.telecomsci.com/zh/article/doi/10.11959/j.issn.1000−0801.2017113/ |
| work_keys_str_mv | AT minhongsun analysisofstatisticalresolutionlimitbasedonraotest AT yanfangliu analysisofstatisticalresolutionlimitbasedonraotest AT huazhong analysisofstatisticalresolutionlimitbasedonraotest AT jianrongbao analysisofstatisticalresolutionlimitbasedonraotest |