We study a drift-induced diffusive mobile molecular communication system where source, destination and cooperative nanomachines follow the one-dimensional Brownian motion. For information exchange from source nanomachine to receiver nanomachine, both direct and decode-forward (DF) relay-assisted cooperative paths are considered. The closed-form expressions for the probabilities of detection and false alarm are derived at the cooperative and destination nanomachines considering the multiple-source interference (MSI) and the inter-symbol-interference (ISI). The closed-form expressions for end-to-end average probability of error, and maximum achievable rate are also obtained. Moreover, to achieve minimum expected probability of error the optimum number of molecules to be transmitted from transmitter and optimal detection threshold in receiver nanomachine are found. The analytical expressions are validated through particle-based and Monte-Carlo simulation methods.

中文翻译：

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移动纳米机的漂移诱导扩散分子通道的最佳透射分子和决策阈值。

我们研究了漂移诱导的扩散移动分子通信系统，其中源，目的地和协作纳米机器遵循一维布朗运动。对于从源纳米机到接收器纳米机的信息交换，同时考虑了直接路径和解码转发（DF）中继辅助协作路径。考虑到多源干扰（MSI）和符号间干扰（ISI），在协作和目标纳米计算机上得出了检测和虚警概率的闭式表达式。还获得了端到端平均错误概率和最大可达到率的封闭式表达式。此外，为了获得最小的预期错误概率，找到了要从发射器发射的分子的最佳数量和接收器纳米机中的最佳检测阈值。通过基于粒子和蒙特卡洛模拟方法验证了解析表达式。