基于四阶累积量的频差参数估计快速算法

摘要

针对传统的基于4阶累积量的参数估计方法因其计算复杂度很高，影响了参数估计的实时性要求的问题，研究了基于4阶累积量的频差参数估计的快速算法。对传统方法提出改进，采用切片处理的方法降低了计算复杂度，与传统方法相比，快速算法能够将复杂度降低2个数量级。引入矩阵论中极小范数解的理论求得矩阵方程的最优解，最后估计出频差参数。实验结果表明：快速算法能有效地对频差参数进行估计，在此基础上进一步验证了采样点数、信噪比等相关参数对频差估计精度的影响。%A fast algorithm for frequency delay of arrival ( FDOA ) estimation based on fourth-order cumulant is studied. The traditional method has a large amount of calculation and the parameter is estimated slowly. This paper proposed a fast algorithm to improve the traditional methods by using sliced fourth-order cumulant and applying minimum norm solution to solve the matrix equation optimally. Experiment shows that fast algorithm can accurately estimate the FDOA, and some parameters such as sample points and SNR have an impact on the estimation accuracy.