基于LMP检验的正弦波频率估计可靠性评估

胡国兵; 徐立中; 鲍安平; 吴珊珊; 高燕

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

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基于LMP检验的正弦波频率估计可靠性评估

学术论文 | 更新时间：2024-06-05

- 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
- 通信学报 2015年36卷第5期页码：89-97
- 作者机构：
  
  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
- 作者简介：
  
  [ "胡国兵（1978-），男，江苏高淳人，博士，南京信息职业技术学院副教授，主要研究方向为认知无线电、雷达信号处理。" ]
  [ "徐立中（1958-），男，山东东营人，博士，河海大学教授、博士生导师，主要研究方向为多传感器系统与信息融合、遥感和遥测信号处理等。" ]
  [ "鲍安平（1974-），男，安徽芜湖人，东南大学博士生，南京信息职业技术学院副教授，主要研究方向为智能电网。" ]
  [ "吴珊珊（1982-），女，江苏南通人，南京信息职业技术学院讲师、工程师，主要研究方向为通信与信息系统、认知无线电。" ]
  [ "高燕（1981-），女，江苏江都人，南京信息职业技术学院讲师、工程师，主要研究方向为数字图像处理技术、认知无线电。" ]
- 基金信息：
  
  江苏省自然科学基金资助项目(BK2011837);江苏省“青蓝工程”基金资助项目(BRA2013171);江苏省“青蓝工程”基金资助项目
- DOI：10.11959/j.issn.1000-436x.2015097
  中图分类号： TP302
- 网络出版日期：2015-05，
  
  纸质出版日期：2015-05-25
- 稿件说明：
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胡国兵, 徐立中, 鲍安平, 等. 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, et al. Reliability test for frequency estimation of sinusoid based on LMP detection[J]. Journal on communications, 2015, 36(5): 89-97.
胡国兵, 徐立中, 鲍安平, 等. 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. DOI： 10.11959/j.issn.1000-436x.2015097.

UGuo-bing H, ULi-zhong X, AOAn-ping B, et al. Reliability test for frequency estimation of sinusoid based on LMP detection[J]. Journal on communications, 2015, 36(5): 89-97. DOI： 10.11959/j.issn.1000-436x.2015097.

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。

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.

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