Resolvability of the Multiple Access Channel with Two-Sided Cooperation

Abstract

We study the randomness required at the inputs of a multiple access channel in order to produce a desired, approximately i.i.d., output distribution, subject to cooperation in one of the following forms: (i) a common message, (ii) conferencing, (iii) feedback and (iv) generalized feedback. For the cases (i)-(iii), we characterize the channel resolvability via matching inner and outer bounds, and for generalized feedback we provide two inner bounds representing the role of decoding and randomness extraction, which can also be combined. One of the main contributions of this work is to show that resolvability rates of the multiple access channel are not improved with feedback, unlike the multiple access channel capacity which is improved by feedback.