基于KL散度的雷达信号波形抗截获性能评估

Anti-interception Performance Evaluation of Radar Signal Waveform Based on KL Divergence

该文给出了一种对13类常用雷达信号波形的抗截获性能进行评价的新方法,可为雷达波形的设计者提供评价波形抗截获性能的一般性准则。该准则假定白噪声信号具有最好的抗截获性能,通过将不同雷达信号波形和白噪声信号进行比较,得出雷达信号和白噪声的相似程度。首先,利用Wigner半圆法推出白噪声和雷达信号的特征分布函数,然后用KL散度来表示雷达信号和白噪声之间的相似性,较小的KL散度值,意味着较强的抗截获性能,反之亦然。理论推导和仿真验证表明这种评价准则可对不同雷达信号波形的抗截获性能进行有效评价。

This paper presents a new method for evaluating the anti-interception performance of thirteen kinds of radar signals, which can be used to guide rsdar waveform designing. The method assumes that white noise signal has the best anti-interception performance, by comparing different radar signals with it, the similarity degree of radar signal and white noise signal can be obtained. First, the characteristics distribution function of white noise and radar signal distribution function are introduced using Wigner semicircle law. Second, KL divergence is used to represent the similarity between radar signal and white noise. Small value of KL divergence means better anti interception performance, and vice versa. Theoretical derivation and simulation results show that this method can evaluate the anti interception performance of different radar signals effectively.