5 - MI Network Connectivity

Summary

We study the connectivity of a large-scale ad hoc MI networks, whose nodes are randomly located with randomly deployed MI antennas. The pathloss model we use here considers the effect of MI noise via a signal-to-noise ratio threshold instead of magnetic signal strength. In addition, the effects of carrier frequency and eddy current both are considered for the determination of signal coverage. To study the MI coverage and connectivity under such assumptions, we develop a Lambert W-function-based integral method to evaluate the effective coverage space and the expected node degree of an MI node. The probability of having no isolated node in the network is further derived to estimate the required parameters for an almost surely connected network. Passive MI waveguide is not considered in this chapter. We also performed carrier frequency optimizations.