The optimal transmitting power in randomly deployed heterogeneous Wireless Sensor Networks for predetermined average node degree

Radio communications are the most important sources of energy consumption in Wireless Sensor Networks (WSN). Optimizing the sensors transmitting power with keeping the required nodes average degree preserves significantly the sensors energy. In this paper, we analyze the optimal transmitting power needed by each sensor to reach a given average node degree in heterogeneous WSN. The problem that we aim solving in this paper is the following: given a set of heterogeneous sensors having various capabilities: weak nodes and strong nodes that are scattered randomly in a field according to a Poisson Point Process with densities λ₁ and λ₂ respectively. What is the optimal transmitting power needed by each sensor to ensure k-average degree? We investigate also a related problem: What has the most important effect on weak nodes transmitting power: The quantity of the strong nodes or their quality in terms of energy supply? Our analytical study has been validated with Monte-Carlo simulations.