Application of delta function in probabilistic modeling of communication delays in wireless networks – measurement identification and application of the delay model

The paper is the second part of the publication [1] which presents the mathematical fundamentals of a new probabilistic model of communication delays in wireless networks. This model is based on a delta function sequence used to describe retransmissions between a transmitter and a receiver [2], [3] which occur when external disturbances influence a wireless transmission. In the paper, there are described a method of identification of the proposed model parameters on the basis of measurements results of delays and verification of the identified values. The model application for describing delays in multi-node wireless networks is presented and illustrated by examples.