Partially coherent distributed detection under total power constraint

In this paper, we consider the problem of power constrained partially coherent distributed detection over fading multi-access channel. The deflection coefficient maximization (DCM) is used to optimize the performance of detectors. Two cases of the channel gain information are considered separately at the fusion center, one case with perfect channel gain (the corresponding method is referred to as PC-DCM, with PC being the abbreviation for 'partially coherent'), the other case with statistical information of channel gain (the corresponding method is referred to as PC-DCM-CS, with CS being the abbreviation for 'channel statistics'). We derive the closed-form solutions to the considered problems. Monte-Carlo simulations are carried out to verify the performance of the proposed methods. Simulation results show that the proposed new methods could significantly improve the detection performance of the fusion system at low signal-to-noise ratio (SNR).