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Millimeter wave (mmWave) communication systems use large number of antennaelements that can potentially overcome severe channel attenuation by narrowbeamforming. Narrow-beam operation in mmWave networks also reduces multiuserinterference, introducing the concept of noise-limited wireless networks asopposed to interference-limited ones. The noise-limited or interference-limitedregime heavily reflects on the medium access control (MAC) layer throughput andon proper resource allocation and interference management strategies. Yet,these regimes are ignored in current approaches to mmWave MAC layer design,with the potential disastrous consequences on the communication performance. Inthis paper, we investigate these regimes in terms of collision probability andthroughput. We derive tractable closed-form expressions for the collisionprobability and MAC layer throughput of mmWave ad hoc networks, operating underslotted ALOHA. The new analysis reveals that mmWave networks may exhibit anon-negligible transitional behavior from a noise-limited regime to aninterference-limited one, depending on the density of the transmitters, densityand size of obstacles, transmission probability, operating beamwidth, andtransmission power. Such transitional behavior necessitates a new framework ofadaptive hybrid resource allocation procedure, containing both contention-basedand contention-free phases with on-demand realization of the contention-freephase. Moreover, the conventional collision avoidance procedure in thecontention-based phase should be revisited, due to the transitional behavior ofinterference, to maximize throughput/delay performance of mmWave networks. Weconclude that, unless proper hybrid schemes are investigated, the severity ofthe transitional behavior may significantly reduce throughput/delay performanceof mmWave networks.

The Transitional Behavior of Interference in Millimeter Wave Networks and Its Impact on Medium Access Control