A solution to the upper and lower bound of outage probability in ad hoc networks

In this paper, an easy solution to the upper and lower bound of the outage probability in ad hoc networks is presented. First we calculate the characteristic function of a model under power control. Then, we introduce some existing results under a special model which we call it the system model. By comparing the characteristic functions of the normalized interference under two models, we find that under the system model, if we change the node density lambda into other parameters in the expression of the bounds, upper and lower bounds of other models (such as a model employing channel inversion as the power control strategy) can be obtained. This method is proved to be correct by comparing our results with the existing ones, and simple in the calculation.