Connectivity Scaling Laws in Wireless Networks
Justin P. Coon, Orestis Georgiou, Carl P. Dettmann · IEEE Wireless Communications Letters · 2015
We present scaling laws that dictate both local and global connectivity properties of bounded wireless networks. These laws are defined with respect to the key system parameters of per-node transmit power and the number of antennas exploited for diversity coding and/or beamforming at each node. We demonstrate that the local probability of connectivity scales like O(zC) in these parameters, where C is the ratio of the dimension of the network domain to the path loss exponent, thus enabling efficient boundary effect mitigation and network topology control.