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We consider the problem of communication over a two-user Additive WhiteGaussian Noise Broadcast Channel (AWGN-BC) with an AWGN Multiple Access (MAC)active feedback. We describe a constructive reduction from this setup to thewell-studied setup of linear-feedback coding over the AWGN-BC with noiselessfeedback (and different parameters). This reduction facilitates the design oflinear-feedback coding schemes in the (passive) noiseless feedback regime,which can then be easily and constructively transformed into coding schemes inthe MAC feedback regime that attain the exact same rates. Our constructionintroduces an element of interaction into the coding protocol, and is based onmodulo-lattice operations. As an example, we apply our method to theOzarow-Leung scheme, and demonstrate how MAC feedback can be used to increasethe capacity region of the AWGN-BC.

The AWGN BC with MAC Feedback: A Reduction to Noiseless Feedback via Interaction