雷达探测距离的区间估计

INTERVAL ESTIMATION for RADAR DETECTION RANGE

雷达探测距离是雷达发射功率、频率、接收信号功率等这些不确定参数的函数。以区间数学为基础,将这些不确定参数描述为区间变量,借助一阶泰勒级数,提出了近似估计雷达探测距离的区间分析方法。区间分析方法降低了以往处理不确定问题概率方法需要知道不确定参数均值、方差或概率分布密度等详细统计信息的要求,只要求知道不确定信息所在的边界,而且计算量少。通过算例与概率分析方法相比较,表明了区间分析方法的可行性和优越性。

Radar detection range is the function of uncertain parameters such as radar transmitter power, frequency, receiver signal power, etc. Based on interval mathematics, we describe these uncertain parameters as interval variables. A new method, which approximately estimated radar detection range with the help of first-order Taylor series, is presented. Interval analysis method needs not know detailed statistical information but bounds of uncertainties, at the same time, it needs less computational efforts than probabilistic analysis method. Numerical example is used to illustrate the method which shows both the feasibility and superiority compared with probabilistic method.