arXiv 2203.027842022-03-05cs.ITmath.IT

Poisson信道上分子通信的确定性识别

Deterministic Identification for Molecular Communications over the Poisson Channel

Mohammad Javad Salariseddigh, Uzi Pereg, Holger Boche, Christian Deppe, Vahid Jamali, Robert Schober

摘要：

分子通信（MC）的各种应用是事件触发的，因此，流行的香农容量可能不是性能评估的正确措施。因此，在本文中，我们激励和建立识别能力作为一种替代度量。特别是，我们研究确定性识别（DI）的离散时间泊松信道（DTPC），受到平均和峰值功率约束，这作为一个模型的MC系统采用分子计数接收器。确定了该信道的码本大小按$2^{(n\log n)R}$缩放，其中$n$和$R$分别是码字长度和编码率。DTPC的DI容量的下限和上限的开发。获得的DI通道的大容量揭示了自然DI系统的性能，如自然嗅觉，这是已知的生物学中的极大的化学辨别力。此外，对有限长码的经验误识率和误识率出错率进行了数值模拟。这使我们能够量化的码字长度方面的误差减少的规模。

英文摘要：

Various applications of molecular communications (MC) are event-triggered, and, as a consequence, the prevalent Shannon capacity may not be the right measure for performance assessment. Thus, in this paper, we motivate and establish the identification capacity as an alternative metric. In particular, we study deterministic identification (DI) for the discrete-time Poisson channel (DTPC), subject to an average and a peak power constraint, which serves as a model for MC systems employing molecule counting receivers. It is established that the codebook size for this channel scales as $2^{(n\log n)R}$, where $n$ and $R$ are the codeword length and coding rate, respectively. Lower and upper bounds on the DI capacity of the DTPC are developed. The obtained large capacity of the DI channel sheds light on the performance of natural DI systems such as natural olfaction, which are known for their extremely large chemical discriminatory power in biology. Furthermore, numerical simulations for the empirical miss-identification and false identification error rates are provided for finite length codes. This allows us to quantify the scale of error reduction in terms of the codeword length.

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摘要：

英文摘要：

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