一种基于快速正切算法的捷联寻北解算方法  

The Resolution Method of Searching for the North in SINS Based on the Rapid Tangent Algorithm

作　　者：周召发[1] 王振业[2] 郭晓松[2] 魏皖宁[2] 

机构地区：[1]西北工业大学,西安710072 [2]第二炮兵工程学院,西安710025

出　　处：《弹箭与制导学报》2012年第3期67-68,72,共3页Journal of Projectiles,Rockets,Missiles and Guidance

摘　　要：在捷联寻北中采用正切查表法需要的制表空间大且代码执行效率较低,不便于采用单片机的实现方位角解算。将最小二乘线性拟合原理应用于反正切函数的分段线性化中,得到了不同精度的分段线性方程;通过仿真分析了该快速正切算法的计算误差;通过计算得到了不同精度时的分段数;通过比较得出了不同精度时在制表空间上相对于正切查表法的优势。研究表明该算法简捷快速,能有效提高代码的执行效率,节省大量的制表空间。SINS north-seeking needs large table storage and the code is inefficient based on the method of looking-up table to calculate the arc tangent function. The piecewise linear equations were found by application the principle of the least square linear fitting to the arc tan- gent function; the calculation error of this algorithm was analyzed; the number of piecewise linear equations was calculated; the advantage of this rapid algorithm in the table storage was elicited through comparing with the method of directly looking-up table. The research shows that this algorithm is simple and fast and space-saving, and can effectively boost the code efficiency.

关 键 词：捷联寻北 正切法 最小二乘法 分段线性拟合 

分 类 号：V249.322[航空宇航科学与技术—飞行器设计]