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Detection Probabilities for Log-Normally Distributed Signals

机译:对数正态分布信号的检测概率

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The amplitude and power of a large family of radio signals are observed to have log-normal probability density functions. Among these are signals propagated through random inhomogeneous media, a notable example being low frequency atmospheric radio noise. Of greater importance are certain radar targets that have been observed to have essentially log-normal density functions. Both ships and space vehicles may fall into this category. Curves of probability of detection vs. signal-to-noise ratio for the case of log-normal signals in Gaussian noise have been computed and are presented in this paper. The curves apply for square-law detection with varying degrees of postdetection linear integration. Both fully correlated and completely uncorrelated fluctuating signals are considered. It is shown that for log-normal signal distributions having large variances, the probability of detection differs significantly from that obtained using curves based on an assumed Rayleigh signal distribution.
机译:观察到大量无线电信号的幅度和功率具有对数正态概率密度函数。其中有通过随机非均匀介质传播的信号,一个明显的例子是低频大气无线电噪声。更为重要的是已观察到的某些雷达目标实质上具有对数正态密度函数。船舶和航天器都可能属于这一类。计算并给出了高斯噪声中对数正态信号情况下的检测概率与信噪比的关系曲线。这些曲线适用于具有不同检测后线性积分度的平方律检测。同时考虑完全相关和完全不相关的波动信号。结果表明,对于具有大方差的对数正态信号分布,检测概率与使用基于假定瑞利信号分布的曲线获得的概率明显不同。

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