论文标题

通过通道识别的最小值匡威

Minimax Converse for Identification via Channels

论文作者

Watanabe, Shun

论文摘要

得出了通过通道识别的最小值匡威。通过这种相反,证明了与传输能力一致的识别能力的一般公式,而没有强大的相反特性。此外,当类型I误差概率是非呈现的,并且II型误差概率消失时,通过通道标识的最佳二阶编码率是特征的。我们的匡威建立在所谓的部分通道可分辨性方法上。但是,Minimax论点使我们能够规避文献中报道的缺陷。

A minimax converse for the identification via channels is derived. By this converse, a general formula for the identification capacity, which coincides with the transmission capacity, is proved without the assumption of the strong converse property. Furthermore, the optimal second-order coding rate of the identification via channels is characterized when the type I error probability is non-vanishing and the type II error probability is vanishing. Our converse is built upon the so-called partial channel resolvability approach; however, the minimax argument enables us to circumvent a flaw reported in the literature.

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