基于Bootstrap的正弦波频率估计可信性评估

摘要

Based on Bootstrap technique,a reliability test method to evaluate the frequency estimation of the sinu?soid is proposed in this paper. The reference signal is generated depending on the frequency estimation of the sinu?soid at first. Then the correlations between the received signal and the reference signal were calculated. The test sta?tistic is defined by the ratio of the correlation between the whole samples and the half size samples. The reliability test for frequency estimate of the sinusoid signal is performed by the proposed statistic and threshold based on Boot?strap technique. Simulafion results show that the proposed method can be used to verify the reliability for blind fre?quency estimation of the sinusoid at low signal-to-noise ratio.%研究了正弦波频率估计结果的可信性评估问题,提出一种基于Bootstrap非经典统计分析的评估算法.根据频率估计结果构造参考信号,并与观测信号作相关累加.以全长度相关累加模值与半长度相关累加模值的比作为检验统计量,基于Bootstrap方法确定相应的判决门限,完成对单次正弦波频率估计的可信性校验.仿真结果表明,本算法可在较低信噪比条件下对单次正弦波频率估计结果是否可靠进行评估和判决.