基于Lattice的高脉冲重复频率雷达解距离模糊算法

A Range Ambiguity Resolution Algorithm for High Pulse Repetition Radar Based on Lattice

在高脉冲重复频率多普勒雷达的工程应用中,存在着无法避免的距离模糊问题。提出了一种基于Lattice的解距离模糊新算法。首先给出了距离模糊问题的数学模型,将距离模糊问题转化为Lattice中求解最近点的问题;然后证明了模型满足Babai算法的使用条件,提高求解效率;接着针对脉冲重复周期提出了扩倍的处理方案,放宽了算法对于雷达参数的要求;最后结合Lattice中Voronoi单元的基本性质提出了噪声补偿方案,根据模糊量测的整数部分和小数部分补偿出真实的量测整数部分的组合,使算法具有工程可行性。实验仿真表明,该算法可以同时满足时间效率和求解精度的要求。

In the engineering applications of high pulse repetition rate frequency radar, it is inevitable to avoid the problem of range ambiguity. In this paper a new range ambiguity resolution method based on lattice is proposed. Firstly, range ambiguity is modeled and transformed into the problem of finding the closest point in lattice. After that the model is reduced to fulfill the requirement of Babai＇ s algorithm to enhance the efficiency. Then the expan- sion approach is applied on pulse repetition periods and the requirement of pulse repetition is loosened. Finally noise compensation is designed combining with the basic property of Voronoi cell in lattice theory. Real combination of integers of ambiguity measurements is obtained based on the integer part and decimal part of measurements to make the algorithm more practical. The simulation results show that this algorithm can meet the demands of time ef- ficiency and accuracy.