Agency for Defense Development, Yuseong P.O.Box 35, Daejeon 34186, Korea.
Chungnam National University, 99 Daehak-ro, Yuseong-gu, Daejeon 34134, Korea.
Sensors (Basel). 2019 Apr 9;19(7):1688. doi: 10.3390/s19071688.
In order to improve the performance of Terrain Referenced Navigation (TRN), an Interferometric Radar Altimeter (IRA) has been developed as a more accurate altimeter. The IRA outputs not only the relative distance (slant range, R) but also the cross-track angle (look angle, ) of the closest point on the zero Doppler line by using the principle of interferometry and two or more antennas. To perform TRN using the IRA, the 3D relative position of the closest point should be calculated. There is a formula to calculate the relative position of the closest point using the Euler angles. However, in an actual flight environment in which the influence of wind exists, the angle of attack, the side slip angle and "the effective look angle" should be used rather than the Euler angles. In this paper, a new formula for calculating the relative position of the closest point is proposed and mathematically derived. The proposed formula was verified with real data from actual flight. The flight test results show that the positions of the closest points calculated using the conventional method and the proposed method are different because of the wind effect. The TRN simulation results indicate that the proposed formula calculates the closest points more accurately than the conventional formula.
为了提高地形参照导航(TRN)的性能,已经开发了一种干涉雷达高度计(IRA)作为更精确的高度计。IRA 通过干涉测量原理和两个或更多天线,不仅输出零多普勒线上最近点的相对距离(斜距,R),还输出横距角(视向角,)。要使用 IRA 执行 TRN,需要计算最近点的 3D 相对位置。有一个使用欧拉角计算最近点相对位置的公式。然而,在存在风的实际飞行环境中,应使用攻角、侧滑角和“有效视向角”,而不是欧拉角。在本文中,提出了一种新的计算最近点相对位置的公式,并进行了数学推导。使用实际飞行中的实际数据验证了所提出的公式。飞行测试结果表明,由于风的影响,使用常规方法和所提出方法计算的最近点位置不同。TRN 仿真结果表明,所提出的公式比常规公式更准确地计算最近点。