TY - GEN
T1 - Optimal linear decentralized estimation in a bandwidth constrained sensor network
AU - Luo, Zhi Quan
AU - Giannakis, Georgios B.
AU - Zhang, Shuzhong
PY - 2005
Y1 - 2005
N2 - Consider a bandwidth constrained sensor network in which a set of distributed sensors and a fusion center (FC) collaborate to estimate an unknown vector. Due to power and cost limitations, each sensor must compress its data in order to minimize the amount of information that need to be communicated to the FC. In this paper, we consider the design of a linear decentralized estimation scheme (DES) whereby each sensor transmits over a noisy channel to the FC a fixed number of real-valued messages which are linear functions of its observations, while the FC linearly combines the received messages to estimate the unknown parameter vector. Assuming each sensor collects data according to a local linear model, we propose to design optimal linear message functions and linear fusion function according to the minimum mean squared error (MMSE) criterion. We show that the resulting design problem is nonconvex and NP-hard in general, and identify two special cases for which the optimal linear DES design problem can be efficiently solved either in closed form or by Semi-definite programming (SDP).
AB - Consider a bandwidth constrained sensor network in which a set of distributed sensors and a fusion center (FC) collaborate to estimate an unknown vector. Due to power and cost limitations, each sensor must compress its data in order to minimize the amount of information that need to be communicated to the FC. In this paper, we consider the design of a linear decentralized estimation scheme (DES) whereby each sensor transmits over a noisy channel to the FC a fixed number of real-valued messages which are linear functions of its observations, while the FC linearly combines the received messages to estimate the unknown parameter vector. Assuming each sensor collects data according to a local linear model, we propose to design optimal linear message functions and linear fusion function according to the minimum mean squared error (MMSE) criterion. We show that the resulting design problem is nonconvex and NP-hard in general, and identify two special cases for which the optimal linear DES design problem can be efficiently solved either in closed form or by Semi-definite programming (SDP).
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U2 - 10.1109/ISIT.2005.1523581
DO - 10.1109/ISIT.2005.1523581
M3 - Conference contribution
AN - SCOPUS:33746367602
SN - 0780391519
SN - 9780780391512
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1441
EP - 1445
BT - Proceedings of the 2005 IEEE International Symposium on Information Theory, ISIT 05
T2 - 2005 IEEE International Symposium on Information Theory, ISIT 05
Y2 - 4 September 2005 through 9 September 2005
ER -