基于校正余数筛选的余弦信号频率估计

Frequency Estimation of Cosine Signal Using Remainder Correction Screening

针对高欠采样余弦信号频率估计精度差的问题,提出了基于校正余数筛选的余弦信号频率估计算法。该算法运用FFT相位差法求得任意初始参考相位估计值,结合插值方法对频率和相位进行高精度校正,给出了一种降低参考相位估计精度的余数筛选方案,将简化后的闭合形式中国余数定理推广到实数域。仿真结果表明:在有噪声时,所提算法的频率估计精度优于现有算法;在低信噪比时,所提算法的频率估计均方误差远远低于现有算法。

To solve the poor estimation accuracy in high-undersampling frequency estimation of cosine signal, a new frequency estimation algorithm was proposed, which was based on remainder correction screening. Firstly, a FFT phase difference measuring method estimate the unknown initial reference phase. Furthermore, through applying interpolation method for high precision frequency and phase correction of each undersampling,a reminder filtering scheme was adopted to reduce the reference phase estimation accuracy requirement as well as choosing. Finally, the simplifying closed-form Chinese remainder theorem was generalized to reals？ which ac-quired last frequency estimation Simulation results showed that the frequency estimation accuracy of the proposed algorithm was higher in noisy environment, and the mean square error of the proposed algorithm was low-er in low signal-to-noise ratio, which was better than the existing algorithms.