论文标题
通过两个吸收接收器在嘈杂的1D环境中进行参数估计
Parameter Estimation in a Noisy 1D Environment via Two Absorbing Receivers
论文作者
论文摘要
本文通过在一维（1D）环境中利用两个完全吸收的接收器（RXS）来研究不同参数，例如传播距离和流速度的估计。随着时间的间隔，随着时间的间隔，随着时间的时间间隔，随着时间的间隔的吸收分子数量，随着时间的时间接近无穷大。还考虑了该环境中嘈杂的分子，这些分子除发射机外还释放出来。提出了一种新颖的估计方法，即差异估计（DE），以通过使用两个RXS接收信号的差来消除噪声的影响。对于DE，得出了估计方差的Cramer-Rao下限（CRLB）。在每个RX上也将独立的最大似然估计视为显示DE的性能优势的基准。在基于粒子的模拟的帮助下，得出的分析结果得到了验证。此外，数值结果表明，DE达到了CRLB，并且对噪声的变化不如每个RX的独立估计敏感。
This paper investigates the estimation of different parameters, e.g., propagation distance and flow velocity, by utilizing two fully-absorbing receivers (RXs) in a one-dimensional (1D) environment. The time-varying number of absorbed molecules at each RX and the number of absorbed molecules in a time interval as time approaches infinity are derived. Noisy molecules in this environment, that are released by sources in addition to the transmitter, are also considered. A novel estimation method, namely difference estimation (DE), is proposed to eliminate the effect of noise by using the difference of received signals at the two RXs. For DE, the Cramer-Rao lower bound (CRLB) on the variance of estimation is derived. Independent maximum likelihood estimation is also considered at each RX as a benchmark to show the performance advantage of DE. Aided by particle-based simulation, the derived analytical results are verified. Furthermore, numerical results show that DE attains the CRLB and is less sensitive to the change of noise than independent estimation at each RX.
