On the effect of correlated measurements on the performance of distributed estimation

Citation data:

2013 IEEE International Conference on Communications (ICC), ISSN: 1550-3607, Page: 4740-4744

Publication Year:
2013
Captures 12
Readers 12
Citations 3
Citation Indexes 3
arXiv Id:
arXiv:1304.7457
DOI:
10.1109/icc.2013.6655322
Repository URL:
http://hdl.handle.net/10754/564725
Author(s):
Mohammed F. A. Ahmed; Tareq Y. Al-Naffouri; Mohamed-Slim Alouini
Publisher(s):
Institute of Electrical and Electronics Engineers (IEEE)
Tags:
Computer Science; Engineering
conference paper description
We address the distributed estimation of an unknown scalar parameter in Wireless Sensor Networks (WSNs). Sensor nodes transmit their noisy observations over multiple access channel to a Fusion Center (FC) that reconstructs the source parameter. The received signal is corrupted by noise and channel fading, so that the FC objective is to minimize the Mean-Square Error (MSE) of the estimate. In this paper, we assume sensor node observations to be correlated with the source signal and correlated with each other as well. The correlation coefficient between two observations is exponentially decaying with the distance separation. The effect of the distance-based correlation on the estimation quality is demonstrated and compared with the case of unity correlated observations. Moreover, a closed-form expression for the outage probability is derived and its dependency on the correlation coefficients is investigated. Numerical simulations are provided to verify our analytic results. © 2013 IEEE.