基于多项式混沌展开的分子信号不确定性量化
Uncertainty Quantification in Molecular Signals using Polynomial Chaos Expansion
摘要:
分子信号在工程和生物学背景下是丰富的,并且在流体动力学通道中经历随机传播。接收信号对各种输入和信道参数变化敏感。目前,我们还不了解各种参数中的不确定性或噪声如何影响接收到的信号浓度,我们也没有一个分析框架来应对这一挑战。在本文中,我们利用多项式混沌展开(PCE),以显示参数的不确定性传播到接收信号的不确定性。在证明其适用性,我们认为湍流扩散分子通信(TDMC)通道和突出的参数影响接收到的信号。这可以为未来的信息理论见解铺平道路,并指导实验设计。
英文摘要:
Molecular signals are abundant in engineering and biological contexts, and undergo stochastic propagation in fluid dynamic channels. The received signal is sensitive to a variety of input and channel parameter variations. Currently we do not understand how uncertainty or noise in a variety of parameters affect the received signal concentration, and nor do we have an analytical framework to tackle this challenge. In this paper, we utilize Polynomial Chaos Expansion (PCE) to show to uncertainty in parameters propagates to uncertainty in the received signal. In demonstrating its applicability, we consider a Turbulent Diffusion Molecular Communication (TDMC) channel and highlight which parameters affect the received signals. This can pave the way for future information theoretic insights, as well as guide experimental design.
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