Rate-Constrained Wireless Networks with Fading Channels: Interference-Limited and Noise-Limited Regimes

A network of n wireless communication links is considered in a Rayleigh fading environment. It is assumed that each link can be active and transmit with a constant power P or remain silent. The objective is to maximize the number of active links such that each active link can transmit with a constant rate λ. An upper bound is derived that shows the number of active links scales at most like 1 λ log n. To obtain a lower bound, a decentralized link activation strategy is described and analyzed. It is shown that for small values of λ, the number of supported links by this strategy meets the upper bound; however, as λ grows, this number becomes far below the upper bound. To shrink the gap between the upper bound and the achievability result, a modified link activation strategy is proposed and analyzed based on some results from random graph theory. It is shown that this modified strategy performs very close to the optimum. Specifically, this strategy is asymptotically almost surely...

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Masoud Ebrahimi, Amir K. Khandani
• Keywords: Active Links, CORR 2007, Education, Link Activation Strategy, Upper Bound