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Contiguous pulse binary integration analysis

机译:连续脉冲二进制积分分析

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The probability of detecting m or more pulses contiguously-that is, in a row-from a pulse train of n pulses is determined when the detection of each pulse is an independent Bernoulli trial with probability p. While a general closed-form expression for this probability is not known, we present an analytical procedure that gives the exact expression for the probability of interest for any particular case. We also present simple asymptotic expressions for these probabilities and develop bounds on the probability that the number of pulses that must be observed before m contiguous detections is greater than or less than some particular number. We consider the implications for binary integration in radar and electronic warfare problems.
机译:当每个脉冲的检测是概率为p的独立伯努利试验时,确定连续检测m个或多个脉冲(即连续)从n个脉冲串中检测出脉冲的概率。虽然尚不知道此概率的一般闭合形式表达式,但我们提出了一种分析过程,该过程给出了任何特定情况下感兴趣的概率的精确表达式。我们还为这些概率提供了简单的渐近表达式,并对在m个连续检测之前必须观察到的脉冲数大于或小于某个特定数的概率制定了界限。我们考虑了雷达和电子战问题中二进制集成的含义。

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