快速高精度实正弦信号频率估计算法

Fast and Accurate Frequency Estimator for Single Real Sinusoid

提出了一种利用信号离散傅里叶变换(DFT)系数的实部或虚部来构造频率修正项的新算法,算法只需傅里叶系数的实部或者虚部的最大值附近的3个DFT系数来构造频率修正项,避免了复数运算从而有效减少了运算量,同时算法的频率估计精度接近CRLB(Cramer-Raolow bound)。理论分析和仿真结果证实了方法的有效性。算法简单且具有广泛的适用性。

A new technique is presented in this paper for frequency estimation of single real sinusoid at a low computational cost using the real parts or imaginary parts of Fourier coefficients. The estimator only needs real parts or imaginary parts of three Fourier coefficients, one of which has the largest magnitude with the other two locating at its bin edges, to modify frequency bias and avoid complex operation with low computational complexity. The presented estimator has good performance in frequency accuracy with low variance close to the Cramer-Rao low bound. Theoretical analysis and simulation results verify the efficiency of the presented estimator. The inherent capabilities of the estimator allow its applications to a wide class of occasions with the advantage of computational simplicity.