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On the Optimal Power-Distortion Region for Asymmetric Gaussian Sensor Networks with Fading
 

Summary: On the Optimal Power-Distortion Region for
Asymmetric Gaussian Sensor Networks with Fading
Hamid Behroozi, Fady Alajaji and Tamás Linder
Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canada, K7L 3N6
Email: {behroozi, fady, linder}@mast.queensu.ca
Abstract--We consider the estimation of a Gaussian source by
a Gaussian sensor network where L distributed sensors transmit
noisy observations of the source through a fading Gaussian mul-
tiple access channel (MAC) to a fusion center (FC). Since sensor
power is usually limited, our goal is to characterize the optimal
tradeoff between the transmission cost, i.e., the power vector P =
(P1, P2, ..., PL ), and the average estimation distortion, D. We
focus on asymmetric fading sensor networks in which the sensors
have differing signal to noise ratios and transmission powers. We
present necessary and sufficient conditions for the achievability of
(L + 1)-tuples (P1, P2, ..., PL , D). For a symmetric Gaussian
sensor network with deterministic and equal-magnitude fading,
we derive the optimal power-distortion tradeoff. We also provide
an achievable power-distortion region for the asymmetric sensor
network with deterministic fading by analyzing the transmission

  

Source: Alajaji, Fady - Department of Mathematics and Statistics, Queen's University (Kingston)
Linder, Tamás - Department of Mathematics and Statistics, Queen's University (Kingston)

 

Collections: Engineering