arXiv 2007.023602020-07cs.ITmath.IT

分子流速计

On Molecular Flow Velocity Meters

Maryam Farahnak-Ghazani, Mahtab Mirmohseni, Masoumeh Nasiri-Kenari

备注：: To be published in the IEEE Transactions on Molecular, Biological, and Multi-Scale Communications
DOI：: 10.1109/TMBMC.2020.3044772

摘要：

流速是流体介质的重要特性。在本文中，我们介绍了一种基于分子的流速计组成的分子释放节点和接收器，这些分子计数。我们考虑流速检测和估计问题，这是在不同的应用。对于流速检测，我们得到了最大后验概率（MAP）判决规则。为了分析所提出的流速检测器的性能，我们得到的错误概率，其高斯近似值和Bulloff信息（CI）上界，并相应地调查的最佳和次最佳采样时间。我们表明，对于二元假设，次优采样时间使用CI上限是相同的。此外，次优采样时间接近于最优采样时间。对于流速估计，我们获得了MAP和最小均方误差（MMSE）估计器。我们考虑均方误差（MSE）的流速估计的误差性能进行调查，并获得贝叶斯克拉美罗（BCR）和预期克拉美罗（ECR）下界。此外，我们得到了每个估计的最佳采样时间。可以看出，每个估计量的最佳采样时间几乎相同。所提出的流速计可用于设计分子通信（MC）中的新调制技术，其中信息被编码在介质的流速中，而不是分子的浓度、类型或释放时间。分子通信系统中流速检测器和流速估计器的建立和性能分析需要进一步的研究。

英文摘要：

Flow velocity is an important characteristic of the fluidic mediums. In this paper, we introduce a molecular based flow velocity meter consisting of a molecule releasing node and a receiver that counts these molecules. We consider both flow velocity detection and estimation problems, which are employed in different applications. For the flow velocity detection, we obtain the maximum a posteriori (MAP) decision rule. To analyze the performance of the proposed flow velocity detector, we obtain the error probability, its Gaussian approximation and Chernoff information (CI) upper bound, and investigate the optimum and sub-optimum sampling times accordingly. We show that, for binary hypothesis, the sub-optimum sampling times using CI upper bound are the same. Further, the sub-optimum sampling times are close to the optimum sampling times. For the flow velocity estimation, we obtain the MAP and minimum mean square error (MMSE) estimators. We consider the mean square error (MSE) to investigate the error performance of the flow velocity estimators and obtain the Bayesian Cramer-Rao (BCR) and expected Cramer-Rao (ECR) lower bounds. Further, we obtain the optimum sampling times for each estimator. It is seen that the optimum sampling times for each estimator are nearly the same. The proposed flow velocity meter can be used to design a new modulation technique in molecular communication (MC), where information is encoded in the flow velocity of the medium instead of the concentration, type, or release time of the molecules. The setup and performance analysis of the proposed flow velocity detector and estimator for molecular communication system need further investigation.

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