基于自相关函数相位的正弦信号频率估计新算法

摘要

A new carrier frequency estimation algorithm based on the argument of the sample autocorrelation function in additive white Gaussian noise( AWGN) is proposed. Firstly,a formula for frequency estimation based on the argument of the sample autocorrelation function is derived. Secondly, a phase ambiguity re-moval method for solving the contradiction problems between estimation range and estimation accuracy . Al-gorithm analysis and simulation results show the estimation variance of the proposed algorithm is close to the Cramer-Rao low bound( CRLB) when the signal-to-noise ratio( SNR) is higher than 6 dB and the cal-culation amount is smaller under the same estimation variance compared with the TSA algorithm and also easy for engineering realization.%针对加性高斯白噪声的正弦信号，提出了基于自相关函数相位的频率估计新算法。首先，推导了一种新的自相关函数相位的频率估计式，然后，针对频率估计范围与频率估计精度之间的矛盾问题，提出了一种消除相位模糊的方法。算法分析与仿真结果表明，在信噪比高于6 dB时，估计方差接近克拉美罗下界( CRLB)，与TSA算法相比，在估计性能相同条件下，具有更低的计算量，便于工程实现。