Deterministic identification (DI) for the discrete-time Poisson channel, subject to an average and a peak power constraint, is considered. It is established that the code size scales as $2^{(n\log n)R}$, where $n$ and $R$ are the block length and coding rate, respectively. The authors have recently shown a similar property for Gaussian channels [1]. Lower and upper bounds on the DI capacity of the Poisson channel are developed in this scale. Those imply that the DI capacity is infinite in the exponential scale, regardless of the dark current, i.e., the channel noise parameter.

翻译：对离散时间 Poisson 频道的确定性识别(DI),视平均和峰值功率限制而定,被确定为2 ⁇ (n\log n)R美元,其中美元和美元分别为区块长度和编码率,作者最近显示Gaussian 频道的类似属性[1]。Poisson 频道的Di 容量的下限和上限是在这个尺度上开发的。这意味着,无论暗流,即频道噪音参数如何,光量在指数尺度上是无限的。