Achievable Rate Region for the Two-User Gaussian X Channel with Limited Receiver Cooperation: General Case

Sum-Rate Upper Bounds for the Gaussian X Channel with Limited Receiver Cooperation

“…) on R 11 + R 12 + R 21 + R 22 : P roof : This is the straightforward cut-set upper bound: if (R 11 , R 12 , R 22 , R 22 ) is achievable, we obtainN (R 11 + R 12 + R 21 + R 22 − ϵ N ) ≤ I (m 11 , m 12 , m 21 , m 22 ; y N 1 , y N 2 ) = h(y N 1 , y N 2 ) − h(z N 1 , z N 2 ) ≤ N {RHS of (13)}where ϵ N → 0 as N → ∞.Hence, we have shown bounds(13).…”

“…After that, Ashraphijuo et al [12] extend the work [7] to the MIMO case. Very recently, Tan-a-ram and Benjapolakul [13] rst study the twouser Gaussian X channel with limited receiver cooperation. They propose to use a strategy consisting the transmission scheme based on the message splitting [14] and the cooperative protocol based on the tworound strategy [7] for the general case of this channel and then derive an achievable rate region based on their proposed strategy.…”