论文标题

在可变长度编码下的合作多传感器检测

Cooperative Multi-Sensor Detection under Variable-Length Coding

论文作者

Hamad, Mustapha, Wigger, Michèle, Sarkiss, Mireille

论文摘要

我们在合作的Mac}上研究了与传感器检测器链路上的平均速率约束,在合作的Mac}上研究了测试 - 不依赖性问题。对于此设置,我们设计了一个可变长度的编码方案,该方案在类型I错误概率限制为$ε$时最大化可实现的II型错误指数。与单链接结果类似,我们在这里表明,最佳误差指数取决于$ε$,并且该变量长度编码允许\ mw {通过因子$ $(1-ε)^{ - 1} $提高比最佳}固定长度编码\ MW {scheme}的速率。

We investigate the testing-against-independence problem \mw{over a cooperative MAC} with two sensors and a single detector under an average rate constraint on the sensors-detector links. For this setup, we design a variable-length coding scheme that maximizes the achievable type-II error exponent when the type-I error probability is limited to $ε$. Similarly to the single-link result, we show here that the optimal error exponent depends on $ε$ and that variable-length coding allows to \mw{increase the rates over the optimal} fixed-length coding \mw{scheme} by the factor $(1-ε)^{-1}$.

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