On the Effects of Frequency Scaling Over Capacity Scaling in Underwater NetworksPart II: Dense Network Model
This is the second in a two-part series of papers on information-theoretic capacity scaling laws for an underwater acoustic network. Part II focuses on a dense network scenario, where nodes are deployed in a unit area. By deriving a cut-set upper bound on the capacity scaling, we first show that there exists either a bandwidth or power limitation, or both, according to the operating regimes (i.e., path-loss attenuation regimes), thus yielding the upper bound that follows three fundamentally different information transfer arguments. In addition, an achievability result based on the multi-hop (MH) transmission is presented for dense networks. MH is shown to guarantee the order optimality under certain operating regimes. More specifically, it turns out that scaling the carrier frequency faster than or as \(n^{1/4}\) is instrumental towards achieving the order optimality of the MH protocol.
dense network capacity scaling law underwater acoustic network cut-set upper bound bandwidth power achievability multi-hop (mh) carrier frequency