Multirate achievability in memoryless multiaccess channel

Abstract

The capacity region of a discrete memoryless multiaccess channel (MAC) is defined as the set of all achievable rate tuples, and a rate tuple is achievable if there exists coders and decoder with those rates and average error probability approaching zero asymptotically in the codeword length. Notice that this definition allows different rate tuples to be achieved by different coders-decoder pairs. A theorem giving the necessary and sufficient condition for a vector rate tuple to be multirate achievable is included.<>