Capacity Scaling of Hybrid Erasure Networks Based on Polynomial Power-Law

A capacity scaling law is studied for a hybrid erasure network where a number of wireless nodes and infrastructure nodes, or equivalently base stations, exist. A polynomial decay model is used to suitably characterize an erasure probability for transmission between nodes. Based on the model, upper and lower bounds on the total capacity scaling are derived. Our result indicates that the two bounds are of exactly the same order under a certain condition on the decay parameter for the hybrid erasure network.