一种基于代价函数的跳频周期估计算法

A Hopping Cycle Estimation Algorithm Based on Cost Function

针对跳频周期估计问题,提出一种基于代价函数的跳频周期估计算法。利用跳频信号的相对到达时间的直方图统计的方差作为代价函数,从理论上证明了代价函数最大值对应的自变量即是跳频周期的估计值,给出了算法的实现步骤,并对算法的性能进行了仿真验证。仿真结果表明,搜索步长合适时,跳频周期估计值的归一化均方误差可以达到0。针对实际工程实现中存在的丢跳情况,仿真结果表明该算法对丢跳率不敏感。

To estimate the hopping cycle,a new hopping cycle estimation algorithm based on cost function is proposed,in which the variance of histogram of relative TOA(time of arrival)of frequency-hopping signals is used as the cost function.It is theoretically proved that the independent variable corresponding to the maximum value of the cost function is the estimated value of hopping cycle.The algorithm implementation process is introduced and the performance of the algorithm is verified by simulation.The result shows that the normalized mean square error of the estimated value of hopping cycle can reach zero when the search step is proper.In the case of data loss existing in practical engineering,the simulation result shows that the algorithm is insensitive to data loss rate.