ADMM-Based Optimal Power Control for Cognitive Satellite Terrestrial Uplink Networks

This paper proposes an underlay power control scheme for cognitive satellite terrestrial uplink networks, where the primary terrestrial mobile network coexists with the secondary satellite communication network. In particular, the schemes are developed to guarantee that both the interference power constraints and interference outage probability constraints (IOPCs) of primary terrestrial users (PTUs) are satisfied. Since the IOPCs of PTUs belong to the chance constraint and the system throughput optimization model is non-convex, we first transform the IOPCs of PTUs into a series of equivalent transmit power constraints by using the Marcum-
$Q$
functions. Then, the alternating direction method of multipliers (ADMM) is introduced to derive the power allocation by alternatively optimizing the subproblems, each of which has the exact closed-form solution. The global convergence of the ADMM is guaranteed. Simulation results demonstrate the effectiveness of the proposed method.
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Simulation codes are provided to reproduce the results presented in this paper: https://github.com/gaobingaobingaobin/figure3github