Probabilities of Detection and False Alarm for Rank Detector in Correlation Gaussian Noise

Lu Lin-gen

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Probabilities of Detection and False Alarm for Rank Detector in Correlation Gaussian Noise

更新时间：2025-12-08

- Probabilities of Detection and False Alarm for Rank Detector in Correlation Gaussian Noise
- Acta Electronica Sinica Issue 2, Pages: 82-86(1982)
- 作者机构：
  
  北京无线电测量研究所
- 作者简介：
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- Published：1982
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[1]陆林根.在相关Gauss噪声中秩值检测器的虚警概率P_(FA)和发现概率P_D[J].电子学报,1982(02):82-86+77.

Lu Lin-gen. Probabilities of Detection and False Alarm for Rank Detector in Correlation Gaussian Noise[J]. Acta Electronica Sinica, 1982, (2): 82-86.
[1]陆林根.在相关Gauss噪声中秩值检测器的虚警概率P_(FA)和发现概率P_D[J].电子学报,1982(02):82-86+77. DOI：

Lu Lin-gen. Probabilities of Detection and False Alarm for Rank Detector in Correlation Gaussian Noise[J]. Acta Electronica Sinica, 1982, (2): 82-86. DOI：

摘要

文献[1]给出了在距离采样为非独立时秩值量化器的P

但因P

表示为一个多重积分

其积分重数等于采样数

当采样数大于8时计算P

就很困难。本文所介绍的方法并不受采样数的限制

而且还可以得到非起伏目标的发现概率P

。文中用DJS-6计算机产生一组窄带的Rice型一阶Markov随机数列

并用MonteCarlo模拟方法得出相关Gauss噪声中秩值检测器的特性。

Abstract

This paper gives the false-alarm rate PFA for rank quantizer when input range samples are not independent[1]. But PFA is written in a multiple integral form

the multiplicity being equal to the number of samples. So it is difficult to calculate the PFA when the sample number is greater than 8. In this paper

a first-order Markov sequence of Rice model for narrow band noise is given

which we obtained from a DJS-6 computer

and MonteCarlo simulation method is used to determinate the detection performance lor rank detector in correlation Gaussian noise. So the sample number is not limited and it is possible to determine the probability of detection PD for constant target signals.

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