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A coding scheme for the two-receivers Gaussian broadcast channel (BC) with feedback is proposed. For some asymmetric settings it achieves new rate pairs. Moreover, it achieves prelog 2 when the noises at the two receivers are fully positively correlated and of unequal variances, thus allowing us to complete the characterization of the prelog of the two-receivers Gaussian BC with feedback. The new achievable rates also allow us to determine the asymptotic power offset when the noises at the two receivers are uncorrelated.
Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli