Effects of mobility on user energy consumption and total throughput in a massive MIMO system
Résumé
Macroscopic mobility of users is important to determine
the performance and energy efficiency of a wireless
network, because of the temporal correlations it introduces in
the consumed power and throughput. In this work, we introduce
a methodology that allows to compute the long time statistics
of such metrics in a network. After describing the general
approach, we consider a specific example of the uplink channel
of a mobile user in the vicinity of a base station equipped with
a large number of antennas (the so called ”massive MIMO”
base station). To guarantee a fixed signal-to-noise ratio and
rate, the user inverts the pathloss channel power, while moving
around in the cell. To calculate the long time distribution of the
corresponding consumed energy, we assume that its movement
follows a Brownian motion, and then map the problem to the
solution of the minimum eigenvalue of a partial differential
equation, which can be solved either analytically, or numerically
very fast. The single-user throughput is also treated. We then
present some results and discuss how they can be generalized
if the mobility model is assumed to be a Levy random walk. A
roadmap to use this methodology is eventually given to extend
results to a multiple user set-up with multiple base stations
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