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arXiv 1812.04476eess.SPcs.ITmath.IT
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异步分子定时通道的通信系统设计与分析

Communication System Design and Analysis for Asynchronous Molecular Timing Channels

Nariman Farsad, Yonathan Murin, Weisi Guo, Chan-Byoung Chae, Andrew Eckford, Andrea Goldsmith

摘要:

提出了两种新的分子定时(MT)通道异步调制技术。一种是基于在不可区分的信息粒子的两个连续释放之间的时间上调制信息,另一种是基于使用可区分的粒子。为了进行比较,我们考虑同步调制方案,其中信息在释放时被编码,并从粒子到达时被解码。我们表明,所有这三种调制技术的结果,可以建模为一个加性噪声信道的系统,我们推导出的噪声的概率密度函数的表达式。接下来,我们专注于二进制通信,并推导出相关的最佳检测规则为每个调制。由于与这些调制相关的噪声具有无限的方差,几何功率被用作噪声功率的度量,并且我们推导出每个调制方案的几何SNR(G-SNR)的表达式。数值计算表明,对于这些系统的误比特率(BER)是恒定的在一个给定的G-SNR,类似于在加性高斯噪声信道中的BER和SNR之间的关系。我们还证明了基于两个可区分的粒子的异步调制可以实现接近同步调制方案的BER性能。

英文摘要:

Two new asynchronous modulation techniques for molecular timing (MT) channels are proposed. One based on modulating information on the time between two consecutive releases of indistinguishable information particles, and one based on using distinguishable particles. For comparison, we consider the synchronized modulation scheme where information is encoded in the time of release and decoded from the time of arrival of particles. We show that all three modulation techniques result in a system that can be modeled as an additive noise channel, and we derive the expression for the probability density function of the noise. Next, we focus on binary communication and derive the associated optimal detection rules for each modulation. Since the noise associated with these modulations has an infinite variance, geometric power is used as a measure for the noise power, and we derive an expression for the geometric SNR (G-SNR) for each modulation scheme. Numerical evaluations indicate that for these systems the bit error rate (BER) is constant at a given G-SNR, similar to the relation between BER and SNR in additive Gaussian noise channels. We also demonstrate that the asynchronous modulation based on two distinguishable particles can achieve a BER performance close to the synchronized modulation scheme.

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