On the Effects of Frequency Scaling Over Capacity Scaling in Underwater Networks--Part II: Dense Network Model

Authors:
Won-Yong Shin;Daniel E. Lucani;Muriel Médard;Milica Stojanovic;Vahid Tarokh
Affiliations:
Division of Mobile Systems Engineering, College of International Studies, Dankook University, Yongin, Republic of Korea 448-701;Department of Electronic Systems, Aalborg University, Aalborg, Denmark 9220;Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, USA 02139;Department of Electrical and Computer Engineering, Northeastern University, Boston, USA 02115;School of Engineering and Applied Sciences, Harvard University, Cambridge, USA 02138
Venue:
Wireless Personal Communications: An International Journal
Year:
2013

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Abstract

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.