双站测向阵列中点的目标到达角近似求解

The Approx imate Calculation of Target AOA at the Midpoint of Double Station Direction-finding Array

从定位三角形的边角关系入手,给出了程差与角度之间的转换公式。利用相邻两基线的程差和几何辅助关系,构造基于双站角度测量的阵列中点到达角的解析计算式,且由此得到的严格解析解将涉及一元四次方程。在严格解析解基础上利用单基中点近似测向解对方程进行简化,可得到一元二次方程,所获得的测向解的计算准确度和单基中点近似测向解的计算准确度基本相同。

Based on the relationship between the sides and angles of the positioning triangle,the conversion formula between the path difference and the angle is given.By using the path difference and geometric auxiliary relation of two adjacent baselines,the analytic formula of angle of arrival(AOA)at the midpoint of double station direction-finding array is constructed.The exact analytic solution obtained involves a quartic equation with one variable.On the basis of the strict solution,the equation is simplified by using the approximate direction finding solution of single base midpoint,and the quadratic equation of one unary is obtained.The calculation accuracy of the direction finding solution obtained is basically the same as that of the approximate direction finding solution of single base midpoint.