Balancing the per-user average mean square errors (MSEs) of a satellite communication (SatCom) system under per-feed limitations—linear transmit power constraints—is the focus of this work. We propose an uplink-downlink duality for this optimization via Lagrangian multiplier theory. Strong duality is shown. Simple fixed point methods are used for the uplink
power allocation and the worst-case noise covariance calculation. Simulation results are used to compare the performance for the SatCom channel with that of a standard Gaussian channel model.
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