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arXiv 1709.07976cs.ITmath.IT
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分子定时信道上单次通信的分集增益

Diversity gain of one-shot communication over molecular timing channels

Yonathan Murin, Mainak Chowdhury, Nariman Farsad, Andrea Goldsmith

摘要:

我们研究的多样性,在一个镜头通信分子定时通道。在所考虑的信道模型中,发射机同时释放大量的信息粒子,其中信息在释放时被编码。接收器基于信息粒子的随机到达时间对信息进行解码。我们表征的渐近指数下降率的概率的错误作为一个函数的数量释放的粒子。我们将这个量表示为系统分集增益,因为它取决于传输的粒子数量以及接收器检测方法。三种类型的检测器被认为是:最大似然(ML)检测器,一个线性检测器,和一个检测器,这是基于第一次到达(FA)之间的所有传输的粒子。我们表明,随机传播的特点是右侧单峰密度与零模式,FA检测器是等价的ML检测器,并显着优于线性检测器。此外,即使对于具有正模式的密度,由FA检测器实现的分集增益也非常接近于由ML检测器实现的分集增益,并且远高于由线性检测器实现的增益。

英文摘要:

We study diversity in one-shot communication over molecular timing channels. In the considered channel model the transmitter simultaneously releases a large number of information particles, where the information is encoded in the time of release. The receiver decodes the information based on the random time of arrival of the information particles. We characterize the asymptotic exponential decrease rate of the probability of error as a function of the number of released particles. We denote this quantity as the system diversity gain, as it depends both on the number of particles transmitted as well as the receiver detection method. Three types of detectors are considered: the maximumlikelihood (ML) detector, a linear detector, and a detector that is based on the first arrival (FA) among all the transmitted particles. We show that for random propagation characterized by right-sided unimodal densities with zero mode, the FA detector is equivalent to the ML detector, and significantly outperforms the linear detector. Moreover, even for densities with positive mode, the diversity gain achieved by the FA detector is very close to that achieved by the ML detector and much higher than the gain achieved by the linear detector.

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