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This paper addresses three issues in the field of ad hoc network capacity:the impact of i)channel fading, ii) channel inversion power control, and iii)threshold-based scheduling on capacity. Channel inversion and thresholdscheduling may be viewed as simple ways to exploit channel state information(CSI) without requiring cooperation across transmitters. We use thetransmission capacity (TC) as our metric, defined as the maximum spatialintensity of successful simultaneous transmissions subject to a constraint onthe outage probability (OP). By assuming the nodes are located on the infiniteplane according to a Poisson process, we are able to employ tools fromstochastic geometry to obtain asymptotically tight bounds on the distributionof the signal-to-interference (SIR) level, yielding in turn tight bounds on theOP (relative to a given SIR threshold) and the TC. We demonstrate that in theabsence of CSI, fading can significantly reduce the TC and somewhatsurprisingly, channel inversion only makes matters worse. We develop athreshold-based transmission rule where transmitters are active only if thechannel to their receiver is acceptably strong, obtain expressions for theoptimal threshold, and show that this simple, fully distributed scheme cansignificantly reduce the effect of fading.

The effect of fading, channel inversion, and threshold scheduling on ad hoc networks