A Control-Theoretic Linear Coding Scheme for the Fading Gaussian Broadcast Channel with Feedback

This paper proposes a linear coding scheme for the two-user fading additive white Gaussian noise broadcast channel, under the assumptions that: (i) perfect Channel State Information (CSI) is available at the receivers; and (ii) unit delayed CSI along with channel output feedback (COF) is available at the transmitter. The proposed scheme is derived from a control-theoretic perspective that generalizes the communication scheme for the point-to-point (P2P) fading Gaussian channel under the same assumptions by Liu et al. In The proposed scheme asymptotically achieves the rates of a posterior matching scheme, from the same authors, for a certain choice of parameters.