In this paper, we investigate the problem of power allocation in wireless sensor networks (WSNs), where, transceiver hardware-impairments (HWIs) at both sensors and fusion center (FC) are considered. In addition, the received signal at FC is corrupted with the additive non-Gaussian noise (ANGN), which is characterized by a Gaussian mixture distribution. For this purpose the Bhattacharyya distance is analyzed as the objective function for formulating the transmit power allocation. Then, we obtain an approximate closed-form expression for the Bhattacharyya distance between two Gaussian mixture distributions. Moreover, empirical impulsive noise model, i.e., the BernoulliGaussian and the Poisson Gaussian models are exploited for the simulation and the results are compared with each other.

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