Internet of Bio-Nano Things, (IoBNT), is an ecosystem, where integration of micro and nano scale devices designed via synthetic biology communicates information. One of the communication concepts adopted in IoBNT is molecular communications via diffusion (MCvD). Inter-symbol interference (ISI) is a major cause of the performance degradation in MCvD of molecules. The accurate determination of the bit error probability (BEP) when ISI is present is therefore important. Most of the past literature has used the normal approximation to a binomial distribution to evaluate the approximate BEP in MCvD systems. In this paper, we derive a new expression to evaluate the exact BEP without using a normal or any other approximation when the ISI caused by a bit extends over an arbitrary number of future bit intervals. Our BEP expression applies to any receiver, full or partial absorbing, as long as its hitting probability distribution is known. In order to prove the applicability of the new expression, we present the numerical results for the BEP computed using our expression for a full absorption spherical receiver and compare them with the results obtained by particlebased simulations. Our results agree closely with the simulation results.

中文翻译：

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关于生物纳米物质通过扩散进行分子通讯的精确性能分析。

生物纳米物联网（IoBNT）是一个生态系统，通过合成生物学设计的微米级和纳米级设备的集成可以交流信息。IoBNT中采用的通信概念之一是通过扩散的分子通信（MCvD）。符号间干扰（ISI）是分子MCvD性能下降的主要原因。因此，在存在ISI时准确确定误码率（BEP）非常重要。过去的大多数文献都使用对二项式分布的正态近似来评估MCvD系统中的近似BEP。在本文中，当由位引起的ISI扩展到任意数量的未来位间隔时，我们导出一个新表达式来评估精确的BEP，而无需使用正态或任何其他近似值。我们的BEP表达式适用于任何接收者，只要知道其击中概率分布，便可以完全吸收或部分吸收。为了证明新表达式的适用性，我们提供了使用我们的表达式为全吸收球形接收器计算的BEP的数值结果，并将其与基于粒子的模拟获得的结果进行了比较。我们的结果与仿真结果非常吻合。