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arXiv 1907.04239eess.SPcs.ITmath.IT
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基于扩散的分子通信系统中基于信道脉冲响应的源定位

Channel Impulse Response-based Source Localization in a Diffusion-based Molecular Communication System

Henry Ernest Baidoo-Williams, Muhammad Mahboob Ur Rahman, Qammer Hussain Abbasi

摘要:

本工作通过一组被动传感器和一个融合中心,在基于扩散的分子通信(DbMC)系统中定位分子源。分子源定位在未来的医疗保健系统中找到了应用,包括主动诊断。在本文中,我们提出了两种不同的方法,都利用(峰值)的信道脉冲响应测量,唯一本地化的源,假设感兴趣的分子源位于传感器/锚节点的开放凸包。第一种方法是基于三角测量的一次性方法,该方法使用最小二乘法估计分子源的未知位置。相应的Cramer-Rao界(CRB)也被导出。第二种方法是一种迭代方法,它利用梯度下降法来最小化非凸代价函数。仿真结果表明,对于任何给定的信噪比,基于三角测量的方法的性能非常接近CRB。此外,基于梯度下降的方法均匀地收敛到真正的最优/源位置(在少于一百次迭代中)。

英文摘要:

This work localizes a molecular source in a diffusion based molecular communication (DbMC) system via a set of passive sensors and a fusion center. Molecular source localization finds its applications in future healthcare systems, including proactive diagnostics. In this paper, we propose two distinct methods which both utilize (the peak of) the channel impulse response measurements to uniquely localize the source, under assumption that the molecular source of interest lies within the open convex-hull of the sensor/anchor nodes. The first method is a one-shot, triangulation-based approach which estimates the unknown location of the molecular source using least-squares method. The corresponding Cramer-Rao bound (CRB) is also derived. The second method is an iterative approach, which utilizes gradient descent law to minimize a non-convex cost function. Simulation results reveal that the triangulation-based method performs very close to the CRB, for any given signal- to-noise ratio. Additionally, the gradient descent-based method converges to the true optima/source location uniformly (in less than hundred iterations).

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