Abstract

New precoder matrices are designed to estimate an unknown vector parameter considering stochastic channels for multiple-input multiple-output wireless sensor network (MIMO-WSN) with decentralised sources. Two types of WSNs are considered, with and without total power network limitations. Within this context, two closed-form relations are derived for the precoder matrices and mean square error (MSE) of the unknown vector parameter is obtained. To cancel any operations at a fusion centre to estimate the aforementioned parameter, a distortionless constraint is added. In simulation section, the authors compare the MSE performances of the proposed method in stochastic MIMO channels with those in deterministic MIMO channels. The simulation result indicates that the MSE performance in the stochastic channels is decreased by almost 1.3 dB at low signal-to-noise ratios. Therefore, the reliability of the unknown vector parameter estimation is enhanced using the MIMO model. Ultimately, effects of bandwidth and number of sensor nodes on the MSE criterion are also analysed.

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