Title:
Distributed-Estimation-in-Energy-Constrained
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Description: Abstract—In this paper, we consider distributed estimation of
a noise-corrupted deterministic parameter in energy-constrained
wireless sensor networks from energy-distortion perspective.
Given a total energy budget allowable to be used by all sensors,
there exists a tradeoff between the subset of active sensors and
the energy used by each active sensor in order to minimize the
estimation MSE. To determine the optimal quantization bit rate
and transmission energy of each sensor, a concept of equivalent
unit-energy MSE function is introduced. Based on this
concept, an optimal energy-constrained distributed estimation
algorithm for homogeneous sensor networks and a quasi-optimal
energy-constrained distributed estimation algorithm for heterogeneous
sensor networks are proposed. Moreover, the theoretical
energy-distortion performance bound for distributed estimation
is addressed and it is shown that the proposed algorithm is
quasi-optimal within a factor 2 of the theoretical lower bound.
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