Methods of modeling wireless sensor networks topology considering internodal interference

The article presents the analysis of developing methods of wireless sensor networks (WSNs) topologies based on a graph structure. It indicates the prevalence of tolerance criteria for describing the links between nodes, for example, the limiting distance of radio communication, a sufficient ratio of signal/energy (interference + noise). To consider the impact of inter-node interference on the network topology it is proposed to use the permissible values of bit error probabilities or erasing an information packet in case of distortion of at least one its elements as a criterion for stable communication. The algorithm for calculating an analytical model of internode communication channel is presented to evaluate the effect of intranetwork additive and multiplicative noise on the reliability indicator of incoherent message reception in the form of a bit error rate. Expression for the coefficient of structural interaction of the received signal and the interference complex is obtained, which allows considering the dependence of bit error rate on the energy components of individual interference at the receiver input, frequency separation value of a signal and values of each disturbance, their phase shifts and the duration of the information bit. There has been considered practical application of the WSNs topology modeling technique for the internode communication channels with Rice fading of a useful signal and Rayleigh fading of an intra-network interference complex (a case study of using CC2500 modems as part of WSNs nodes). As a result of analysis, there have been determined the relations between nodes, for which the bit error rates do not exceed the allowable value established by requirements for channel capacity and the length of information packets. The presented modeling approach proves the possibility of improving the network topology due to developing the internode links by redistributing the frequency resource between the nodes or adjusting the operation modes of the modems.