针对正弦波频率估计结果的可靠性评估问题,提出了一种基于F统计量的检验算法。首先,根据正弦波频率估计结果构建参考信号;然后,对接收信号和参考信号作相关累加,并对其模值进行线性回归;最后,再利用F统计量检验相关累加模值序列的线性回归是否失拟,以实现对频率估计结果的可靠性评估。仿真结果表明:该算法无需信号的先验信息,且在低信噪比条件下仍具有较好的统计性能。

A credibility test method based on F-test is proposed to assess the frequency estimation results of the sinusoid. The reference signals were generated according to the frequency estimation at first. Then the correlations between the received signals and the reference signals were calculated and the linear regression was carried out. Finally the reliability for frequency estimation results can be tested by a lack-of-fit F-test for linear regression of the modulus of the correlations. Simulations show that without the information of the received signal, the proposed method performs well even at low signal-to-noise ratios.

江苏省333工程科研资助项目;江苏省自然科学基金资助项目