The classical Binary Symmetric Channel has a fixed transition probability. We discuss the Binary Symmetric Channel with a variable transition probability that depends on a Poisson distribution. The error rate for this channel is determined and we also give bounds for the channel capacity. We give a motivation for the model based on the Class-A impulse noise model, as given by Middleton. The channel model can be extended to the Additive White Gaussian Channel model, where the noise variance also depends on a Poisson distribution.

翻译：经典二元对称信道具有固定的转移概率。本文讨论了一种转移概率随泊松分布变化的二元对称信道。确定了该信道的错误率，并给出了信道容量的上下界。基于Middleton提出的A类脉冲噪声模型，给出了该模型的动机。该信道模型可推广到加性高斯白噪声信道模型，其中噪声方差也取决于泊松分布。