基于Cholesky分解的自适应抗干扰算法  

Research of Adaptive Anti Jamming Algorithm Based on Cholesky Decomposition

作　　者：齐志强[1] QI Zhi-qiang(China Air to Air Missile Academy,Luoyang 471009,China)

机构地区：[1]中国空空导弹研究院,河南洛阳471009

出　　处：《火力与指挥控制》2019年第4期150-153,共4页Fire Control & Command Control

摘　　要：介绍了卫星导航系统常用的自适应抗干扰算法,并指出了各自的优缺点。针对自适应抗干扰算法的难点,提出了一种基于Cholesky分解的自适应抗干扰算法,巧妙地回避了矩阵求逆等复杂运算,大幅度降低了运算复杂度。推导出了利用Cholesky分解求下三角矩阵并最终完成权值求解的公式,基于FPGA设计给出了具体的实现方法。该算法已成功应用于GNSS抗干扰系统中,实测结果表明该抗干扰算法性能优良,权值更新速度快,是一种简单、高效的实现方法。The adaptive anti-jamming algorithms commonly used in satellite navigation systems are introduced,and their respective advantages and disadvantages are pointed out. In view of the difficulty of adaptive anti jamming algorithm,an adaptive anti-jamming algorithm based on Cholesky decomposition is proposed. It avoids the complex operations such as matrix inversion,and greatly reduces the computational complexity. The formula for solving the triangle matrix by Cholesky decomposition and the solution of the weight is finally deduced. The concrete realization method is given based on the FPGA design. The algorithm has been successfully applied to the GNSS anti-jamming system. The experimental results show that the algorithm is robust and fast in weight updating.It is a simple and efficient implementation method.

关 键 词：自适应 CHOLESKY分解 抗干扰 GAUSS 矩阵求逆 FPGA实现 

分 类 号：TP228.4[自动化与计算机技术—检测技术与自动化装置] TJ01[自动化与计算机技术—控制科学与工程]