最佳雷达信号和匹配滤波器

OPTIMUM RADAR SIGNAL AND MATCHED FILTER

本文基于雷达信号和雷达模糊度函数间的一致关系,提出了任意平方可积的二维有界函数是雷达模糊度函数的充要条件,并且指出它包括了Wilcox提出的离散的可实现条件. 如果预给函数满足定理的充分条件时,模糊度函数的逼近就简化成相应的雷达信号的逼近了。如果适当地选择正交基,一种理想的雷达模糊度函数的综合是可以得到圆满的解决的。同时最佳雷达信号产生器和它的相应的匹配滤波器都能用Laguerre网络来构造。

On the basis of the coincident relation between a radar signal and a radar ambiguity function, an arbitrary bounded two-dimensional function of intergrable square is presented as a necessary and sufficient condition for radar ambiguity function. It is further pointed out that the condition is equivalent to the realizability condition given by Wilcox.When a desired function satisfies the sufficient condition (for example, the sloping Gaussian radar ambiguity function), then the synthesis of ambiguity functions would reduce to the approximation of optimum radar signals. With proper choice of the ortho-normal bases, the problem of synthesizing an ideal radar ambiguity function can be completely solved. At the same time optimum radar signal generator and its corresponding matched filter can be constructed by a Laguerre network.