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 systems. 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 particle-based simulations. Our results agree closely with the simulation results.

中文翻译：

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生物纳米物联网扩散分子通信的精确性能分析


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在其中传递信息。 IoBNT 采用的通信概念之一是扩散分子通信 (MCvD)。符号间干扰 (ISI) 是 MCvD 系统性能下降的主要原因。因此，当 ISI 存在时，准确确定误码概率 (BEP) 非常重要。过去的大多数文献都使用二项分布的正态近似来评估 MCvD 系统中的近似 BEP。在本文中，我们推导了一个新的表达式，当由一位引起的 ISI 扩展到任意数量的未来位间隔时，无需使用正常或任何其他近似值即可评估精确的 BEP。我们的 BEP 表达式适用于任何接收器，无论是完全吸收还是部分吸收，只要其命中概率分布已知。为了证明新表达式的适用性，我们给出了使用我们的全吸收球形接收器表达式计算的 BEP 的数值结果，并将它们与基于粒子的模拟获得的结果进行比较。我们的结果与模拟结果非常吻合。