Paper Info
Title
How much information can one get from a wireless ad hoc sensor network over a correlated random field?
Abstract
New large-deviations results that characterize the asymptotic information rates for general d-dimensional (d-D) stationary Gaussian fields are obtained. By applying the general results to sensor nodes on a two-dimensional (2-D) lattice, the asymptotic behavior of ad hoc sensor networks deployed over correlated random fields for statistical inference is investigated. Under a 2-D hidden Gauss-Markov random field model with symmetric first-order conditional autoregression and the assumption of no in-network data fusion, the behavior of the total obtainable information [nats] and energy efficiency [nats/J] defined as the ratio of total gathered information to the required energy is obtained as the coverage area, node density, and energy vary. When the sensor node density is fixed, the energy efficiency decreases to zero with rate Θ(area-1/2) and the per-node information under fixed per-node energy also diminishes to zero with rate O(Nt-1/3) as the number Nt of network nodes increases by increasing the coverage area. As the sensor spacing dn increases, the per-node information converges to its limit D with rate D - √dne-αdn for a given diffusion rate α. When the coverage area is fixed and the node density increases, the per-node information is inversely proportional to the node density. As the total energy Et consumed in the network increases, the total information obtainable from the network is given by O(log Et) for the fixed node density and fixed coverage case and by Θ(Et2/3) for the fixed per-node sensing energy and fixed density and increasing coverage case.
Year
DOI
Venue
2009
10.1109/TIT.2009.2018333
Clinical Orthopaedics and Related Research
Keywords
DocType
Volume
asymptotic information rate,fixed per-node,node density,fixed coverage case,per-node information,correlated random field,fixed density,coverage area,fixed node density,energy efficiency decrease,energy efficiency,lattice theory,hidden markov models,random field,large deviation principle,wireless sensor networks,lattices,information rate,first order,random processes,sensor network,network address translation,energy efficient,ad hoc networks,mutual information,statistical analysis,data fusion,statistical inference,gaussian processes
Journal
55
Issue
ISSN
Citations 
6
0018-9448
21
PageRank 
References 
Authors
1.04
10
3
Name
Order
Citations
PageRank
Youngchul Sung162145.85
H. V. Poor2254111951.66
Heejung Yu315422.19