TY - GEN
T1 - Distributed non-parametric estimation in a bandwidth-constrained sensor network
AU - Wang, Pu
AU - Li, Hongbin
AU - Fang, Jun
PY - 2008
Y1 - 2008
N2 - Non-parametrie estimation of an unknown position parameter in a bandwidth-constrained wireless sensor network (WSN) is considered in this paper. Due to bandwidth constraint, each sensor is restricted to send only one bit of information to a fusion center. We propose a non-parametric estimator that employs a recently introduced adaptive quantization (AQ) scheme. Specifically, the position parameter is estimated as the sample mean of the quantization thresholds used in AQ. The proposed non-parametric estimator is based on the fact that the AQ thresholds asymptotically converge (in mean) to the unknown position parameter, under the condition that the position parameter is an integer multiple of the stepsize used in AQ. When the condition is not met, there is a bias which can, however, be made negligible by choosing the stepsize to be small (compared with the position parameter). Numerical results are provided to demonstrate the effectiveness of the proposed non-parametric estimator.
AB - Non-parametrie estimation of an unknown position parameter in a bandwidth-constrained wireless sensor network (WSN) is considered in this paper. Due to bandwidth constraint, each sensor is restricted to send only one bit of information to a fusion center. We propose a non-parametric estimator that employs a recently introduced adaptive quantization (AQ) scheme. Specifically, the position parameter is estimated as the sample mean of the quantization thresholds used in AQ. The proposed non-parametric estimator is based on the fact that the AQ thresholds asymptotically converge (in mean) to the unknown position parameter, under the condition that the position parameter is an integer multiple of the stepsize used in AQ. When the condition is not met, there is a bias which can, however, be made negligible by choosing the stepsize to be small (compared with the position parameter). Numerical results are provided to demonstrate the effectiveness of the proposed non-parametric estimator.
KW - Distributed estimation
KW - Non-parametric estimation
KW - Wireless sensor network
UR - http://www.scopus.com/inward/record.url?scp=51849151347&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=51849151347&partnerID=8YFLogxK
U2 - 10.1109/CISS.2008.4558670
DO - 10.1109/CISS.2008.4558670
M3 - Conference contribution
AN - SCOPUS:51849151347
SN - 9781424422470
T3 - CISS 2008, The 42nd Annual Conference on Information Sciences and Systems
SP - 1031
EP - 1036
BT - CISS 2008, The 42nd Annual Conference on Information Sciences and Systems
T2 - CISS 2008, 42nd Annual Conference on Information Sciences and Systems
Y2 - 19 March 2008 through 21 March 2008
ER -