We consider the problem of distributed estimation of an unknown zero-mean Gaussian random variable in a bandwidth constrained network, when only partial information of observation model is available. Sensors employ uniform quantizers with variable rates and transmit their quantized observations to a fusion center (FC). Assuming the FC employs the linear minimum mean-square error (LMMSE) estimator, we provide a closed-form expression for the corresponding MSE, and propose a rate allocation scheme that minimizes the MSE, subject to a total bandwidth constraint (measured in quantization bits). Simulation results show the superiority of the proposed scheme over uniform bit allocation scheme.
On Quantizer Design for Distributed Estimation in Bandwidth Constrained Networks
2015-09-01
146637 byte
Conference paper
Electronic Resource
English
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