Optimal quantization and energy allocation schemes in distributed estimation for wireless sensor networks

We consider a distributed estimation for wireless sensor networks wireless sensor network with a fusion center (FC) which collects data from sensor nodes. The sensor quantized their observations and transmitted the quantized observations to a FC over flat fading Rayleigh channel with path-loss effects. We consider two allocation strategies as the goals of this paper. These are the optimal energy allocation scheme and the optimal number of quantization bits at sensor nodes under strict energy constraints, while the noisy channel between each sensor and FC modelled as flat-fading Rayleigh channel. Optimality here is defined in the sense of minimizing the reconstruction error at the FC.