一种新的双基地探测系统数学模型及模糊函数的建立方法

A Novel Framework of the Mathematical Model and Ambiguity Function for a Bistatic Detection System

在任意运动目标的双基地平面内,以目标运动方向与双基地基线的交点为参考点,采用目标至参考点距离r、目标运动方向与基线的夹角α、参考点对基线的分配比n及基线长L为研究变量,建立了对慢起伏运动点目标的回波模型及模糊函数。这里仍采用了T.Tsao对接收端信号时延进行泰勒级数展开的近似方法。但基于所建模型,充分考虑了建立模糊函数时基准点和误差点目标运动的任意性,因此,更具普遍意义;且无需建立复杂的指北坐标系,从而使分析过程得以简化。

Echo model and ambiguity function for a slowly fluctuating moving target were established by the distance r between the target and the reference point at which the target moving direction intersects the baseline, the angle a between the target moving direction and the baseline, the ratio n in which the baseline is divided by reference point and the baseline range L as arguments in any bistatic triangle plane. The signal delay at receiver was approximately calculated using Taylor series expansion which was derived by T. Tsao. Based on the model above mentioned, the ambiguity function is more of universal significance and simplified because of the randomicity of reference point target and hypothesized point target selected and no north-referenced coordinate system required.