Abstract
The fast transmission power control problem in a cellular network is studied when the signal attenuation is subject to a fast time-varying multipath Rayleigh fading. An asymptotic representation of the link gain evolution in time is first derived, and then used for constructing a Fast Time Variant distributed constrained Power Control (FTVPC). The proposed FTVPC power control successfully counteracts Rayleigh fading and demonstrates significant lower outage probabilities in comparison with the Constant-Received Power control (CRP). It is shown that a potential improvement of 4/3 in the spectrum utilization can be obtained by FTVPC compared to CRP. A comparison with a network without Rayleigh fading under a previously studied Time Variant Power Control (TVPC), is also made. Not surprisingly, it turned out that Rayleigh fading is very difficult to counteract, and it adds a substantial amount of outages.
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