We consider an inhomogeneous diffusion channel (IDC) for molecular communication, where the diffusivities vary in space. We first study the statistical properties of molecular noise. These properties can be fully characterized by two IDC parameters related to a space-dependent diffusion coefficient and a constant drift velocity. We then characterize a noise power for the IDC by introducing the concept of geometric noise power since the molecular noise can be a heavy-tailed distribution. Finally, we derive the bit error rate of molecular communication with timing modulation in terms of two IDC parameters.

中文翻译：

---

非均匀扩散通道中的分子通讯


我们考虑用于分子通信的非均匀扩散通道（IDC），其中扩散率在空间上变化。我们首先研究分子噪声的统计特性。这些特性可以通过与空间相关扩散系数和恒定漂移速度相关的两个 IDC 参数来充分表征。然后，我们通过引入几何噪声功率的概念来表征 IDC 的噪声功率，因为​​分子噪声可能是重尾分布。最后，我们根据两个 IDC 参数推导了定时调制分子通信的误码率。