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In this paper, the authors present a distributed estimation method in Wireless Sensor Networks (WSNs) based on decisions transmitted over Rayleigh fading channels. The fusion centre can use either coherent receiver or non-coherent receiver to acquire decisions transmitted over Rayleigh fading channels. The estimation method using coherent receiver and the estimation method using non-coherent receiver are presented and the Cramer-Rao Lower Bounds (CRLBs) are derived. Simulation results showed that in ideal situations, the RMS errors given by the distributed estimation method were close to the CRLB. Moreover, simulation results highlighted the importance of the number of sensors, channel SNR, and accurate channel SNR information known to the fusion centre on estimation performance.
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