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arXiv 0803.3850cs.ITmath.IT
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多传感器无线信道状态估计:渐近行为和最优功率分配

State Estimation Over Wireless Channels Using Multiple Sensors: Asymptotic Behaviour and Optimal Power Allocation

Alex S. Leong, Subhrakanti Dey, Jamie S. Evans

摘要:

本文研究了多传感器线性系统的状态估计问题,包括多址接入和正交接入两种情况。最佳状态估计可以在融合中心使用时变卡尔曼滤波器来实现。我们发现,在许多情况下,估计误差协方差衰减率为$1/M$时,传感器的数量$M$是大的。我们考虑最优分配的传输功率,1)最小化的总功率使用受到误差协方差约束和2)最小化的误差协方差受到总功率约束。在具有信道状态信息的衰落信道的情况下,使用贪婪方法解决优化问题,而对于没有信道状态信息但具有信道统计信息的衰落信道,导出次优线性估计器。

英文摘要:

This paper considers state estimation of linear systems using analog amplify and forwarding with multiple sensors, for both multiple access and orthogonal access schemes. Optimal state estimation can be achieved at the fusion center using a time varying Kalman filter. We show that in many situations, the estimation error covariance decays at a rate of $1/M$ when the number of sensors $M$ is large. We consider optimal allocation of transmission powers that 1) minimizes the sum power usage subject to an error covariance constraint and 2) minimizes the error covariance subject to a sum power constraint. In the case of fading channels with channel state information the optimization problems are solved using a greedy approach, while for fading channels without channel state information but with channel statistics available a sub-optimal linear estimator is derived.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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