Research on Energy Consumption Distribution of Wireless Sensor Network Based on a Geometrical Probability Approach

Abstract

The distribution of nodes is an important aspect of energy consumption research in wireless sensor network. It affects the energy consumption mainly in the coverage and density of the nodes in wireless sensor networks. In this paper, starting from random distribution of the sensor nodes, considering the communication probability between nodes, research energy consumption of random distribution of nodes within a single regular hexagon and between two adjacent regular hexagons. This paper proposed a concept of probability cumulative distribution function of simulating energy consumption, and derived probability cumulative distribution model of simulating energy consumption. Then simulate this concept and analyze the simulation results to obtain theoretically optimal communication range. The simulation results show, this model can be derived from probability of energy consumption within a specific communication range and get the best communication range. Nodes communication can minimize energy consumption in the obtained optimum communication range. The method provides a theoretical and practical basis for estimating large-scale energy consumption.