Asymptotic Performance of a Rank Binary Integration Nonparametric Detector

Zhu Zhao-da

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Asymptotic Performance of a Rank Binary Integration Nonparametric Detector

更新时间：2025-12-08

- Asymptotic Performance of a Rank Binary Integration Nonparametric Detector
- Acta Electronica Sinica Issue 3, Pages: 89-98(1980)
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- Published：1980
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[1]朱兆达.秩二进积累非参量检测器的渐近性能[J].电子学报,1980(03):89-98.

Zhu Zhao-da. Asymptotic Performance of a Rank Binary Integration Nonparametric Detector[J]. Acta Electronica Sinica, 1980, (3): 89-98.
[1]朱兆达.秩二进积累非参量检测器的渐近性能[J].电子学报,1980(03):89-98. DOI：

Zhu Zhao-da. Asymptotic Performance of a Rank Binary Integration Nonparametric Detector[J]. Acta Electronica Sinica, 1980, (3): 89-98. DOI：

摘要

本文在检验Capon正则条件后推导了秩二进积累检测器的渐近相对效率和渐近损失公式。计算结果表明

存在一个使渐近损失最小的最佳秩量化门限

该最佳门限约等于0.8（N+1）。最小渐近损失随N的增加而减小

并趋于0.94dB。虽然秩二进积累检测器的渐近损失比秩和检测器稍高

但比较经济。

Abstract

In this paper the formulas of asymptotic relative efficiency and asymptotic loss are derived for a rank binary integration detector after checking Capon’s regularity conditions. The results of calculation show that there exists an optimal rank quantization threshold which minimizes the asymptotic-loss. It is demonstrated that the optimal threshold is approximately equal to .8（N +1l）

where N is the number of reference cells. As N increases

the minimal asymptotic loss decreases and approaches to 0.94dB. Although the rank binary integration detector has a slighly higher asymptotic loss than that of a rank sum detector

it can be implemented more economically.

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