Adjustment of Transmission Radius in Linear Wireless Sensor Networks

The transmission radius that affects the consumption of energy in WSNs is an important design parameter. In this paper, we define the expected cost of energy as the product of the average hops of packets that sensor nodes intend to transmit to sinks and single-transmission energy consumption. We use mathematical methods deriving a constrained programming model by which the optimal transmission radius can be selected to minimum the expected cost of energy while guaranteeing reliability requirements in linear wireless sensor networks where the location of sensor nodes follows one-dimensional Poisson point process. From analysis we can get that the value of transmission radius is related with the distance between two neighboring sinks, nodes density and path loss exponent. Simulation results are presented to examine our analysis.