具有非理想粒子强度调制的分子通道的容量与探测
Capacity of Molecular Channels with Imperfect Particle-Intensity Modulation and Detection
摘要：
介绍了粒子强度通道（PIC）作为分子通信系统的模型，并描述了该系统的最佳输入分布和容量限制的特性。在PIC中，发送器基于释放的粒子的数量以给定持续时间的符号对信息进行编码，并且接收器基于在符号间隔期间检测到的粒子的数量对消息进行检测和解码。在该通道中，发射器可能无法精确控制释放的颗粒数量，并且接收器可能无法检测到到达的所有颗粒。我们证明了这个通道的最佳输入分布总是具有质量点为零和可以释放的粒子的最大数量。然后，我们考虑扩散粒子运输，推导出的容量表达式时，输入分布是二进制的，并显示条件下，二进制输入是实现容量。特别是，我们证明了当发射机不能以高速率产生粒子时，最佳输入分布是二进制的。
英文摘要：
This work introduces the particle-intensity channel (PIC) as a model for molecular communication systems and characterizes the properties of the optimal input distribution and the capacity limits for this system. In the PIC, the transmitter encodes information, in symbols of a given duration, based on the number of particles released, and the receiver detects and decodes the message based on the number of particles detected during the symbol interval. In this channel, the transmitter may be unable to control precisely the number of particles released, and the receiver may not detect all the particles that arrive. We demonstrate that the optimal input distribution for this channel always has mass points at zero and the maximum number of particles that can be released. We then consider diffusive particle transport, derive the capacity expression when the input distribution is binary, and show conditions under which the binary input is capacity-achieving. In particular, we demonstrate that when the transmitter cannot generate particles at a high rate, the optimal input distribution is binary.
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