基于LMP检验的正弦波频率估计可靠性评估

doi:10.11959/j.issn.1000-436x.2015097

通信学报 ›› 2015, Vol. 36 ›› Issue (5): 89-97.doi: 10.11959/j.issn.1000-436x.2015097

基于LMP检验的正弦波频率估计可靠性评估

胡国兵^1,²,徐立中¹,鲍安平^2,³,吴珊珊²,高燕²

¹ 河海大学计算机与信息学院，江苏南京 210098
² 南京信息职业技术学院电子信息学院，江苏南京 210023
³ 东南大学自动化学院，江苏南京 210096

出版日期:2015-05-20 发布日期:2015-07-17
基金资助:
江苏省“青蓝工程”基金资助项目;江苏省“青蓝工程”基金资助项目;江苏省“青蓝工程”基金资助项目

Reliability test for frequency estimation of sinusoid based on LMP detection

UGuo-bing H^1,²,ULi-zhong X¹,AOAn-ping B^2,³,UShan-shan W²,AOYan G²

¹ School of Computer and Information,Hohai University ,Nanjing 210098,China
² School of Electronic Information Engineering,Nanjing College of Information Technology,Nanjing 210023,China
³ School of Automation,Southeast University,Nanjing 210096,China

Online:2015-05-20 Published:2015-07-17
Supported by:
Qinglan Projcet of Jiangsu Province;Qinglan Projcet of Jiangsu Province;Qinglan Projcet of Jiangsu Province

摘要/Abstract

摘要：

针对正弦波信号频率估计结果的可靠性评估问题，提出了一种基于局部最大势 (LMP,locally most pow-erful)检验的处理方法。先建立正弦波频率估计可靠性分析的假设检验模型，然后根据某一次特定频率估计值构造参考信号，并将其与观测信号做相关累加。通过分析不同假设下相关累加值概率分布的参数差异，利用 LMP 构造统计量，并给出了相应的判决门限，以实现可靠性判决。推导了 LMP 统计量的概率分布特性及其理论检测性能。仿真结果表明，本算法可在较低信噪比条件下实现对单次正弦波频率估计结果的可靠性判决。

关键词: 正弦波频率估计, 可靠性检验, 局部最大势

Abstract:

A reliability test method based on locally most powerful (LMP) detection was proposed to evaluate the fre-quency estimation of sinusoid.The hypothesis test was created at first,and then a reference signal was generated depend-ing on the specific frequency estimation of the sinusoid.By analysis of the parameters differences from the probability distribution characteristics of the modulus of the cumulative sum series under the different two hypotheses,the reliability test for frequency estimate of sinusoid signal was performed by the proposed LMP-based statistic and threshold.The LMP statistic and its approximated theoretical detection performance were derived .Simulation results show that the pro-posed method can be used to verify the reliability for blind frequency estimation of sinusoid at low signal-to-noise ratio.

Key words: frequency estimation of sinusoid, reliability test, locally most powerful

胡国兵,徐立中,鲍安平,吴珊珊,高燕. 基于LMP检验的正弦波频率估计可靠性评估[J]. 通信学报, 2015, 36(5): 89-97.

UGuo-bing H,ULi-zhong X,AOAn-ping B,UShan-shan W,AOYan G. Reliability test for frequency estimation of sinusoid based on LMP detection[J]. Journal on Communications, 2015, 36(5): 89-97.

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基于LMP检验的正弦波频率估计可靠性评估

Reliability test for frequency estimation of sinusoid based on LMP detection

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