TY - GEN
T1 - On the effect of correlated measurements on the performance of distributed estimation
AU - Ahmed, Mohammed F.A.
AU - Al-Naffouri, Tareq Y.
AU - Alouini, Mohamed Slim
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/84891348910
U2 - 10.1109/ICC.2013.6655322
DO - 10.1109/ICC.2013.6655322
M3 - Conference contribution
AN - SCOPUS:84891348910
SN - 9781467331227
T3 - IEEE International Conference on Communications
SP - 4740
EP - 4744
BT - 2013 IEEE International Conference on Communications, ICC 2013
PB - Institute of Electrical and Electronics Engineers Inc.
ER -