The capacity region of fading Multiple Access Channels with cooperative encoders and partial CSIT

Abstract

In this paper, we study the two-user Gaussian fading Multiple Access Channel (MAC) with cooperative encoders. Two different scenarios are studied: the Gaussian fading MAC with a common message, and the Gaussian fading MAC with conferencing encoders. The throughput capacity region of these channels with partial Channel State Information (CSI) at the transmitters (CSIT) and perfect CSI at the receiver (CSIR) is established. For the Gaussian fading systems with only CSIR (transmitters have no access to CSIT), some numerical examples and simulation results are provided for Rayleigh fading models.

An adaptive modulation scheme for two-user fading MAC with quantized fade state feedback

“…Thus S + γe β S and S + γe −β S have same distance profiles, for any β ∈ [0, π]. This together with (7) proves the second part of the lemma. From Lemma 2, it is clear that when both users use M -PSK signal sets, if (γ ′ , θ ′ ) is a singular fade state, then there exists singular fade states at (γ ′ , θ ′ + p 2π M ), where 1 ≤ p ≤ M − 1 because distance distribution in S eff is periodic with period 2π M .…”

“…(1, 5), (1,13), (4,8), (2,6), (2,14), (3,7), (3,15), (4, 16), 2γ 2 (1, 5) (6, 10), (7,11), (8,12), (5,9), (12, 16), (11, 15), (10, 14), (9, 13) 8 (1,9), (2, 10), (3,11), (4,12), (6,14), (5,13), (7,15), (8, 16) 4γ 2 (1, 9) 9…”

“…(1, 15), (4, 6), (5, 11), (10, 16) 2γ 2 + 4 + 4γ cos θ − 4γ sin θ (4, 6) 11 (3,13), (2,8), (7,9), (12, 14))…”

“…(1, 10), (6,15), (4, 11), (5, 16) 4γ 2 + 2 + 4γ cos θ − 4γ sin θ (1, 10) 15 (2,9), (3, 12), (7,14), (8,13)…”

Multiaccess Communication via a Broadcast Approach Adapted to the Multiuser Channel

“…which after dropping the redundant terms, we obtain the desired constraint in (8). Finally, based on (64) and (66) we have a 30 = a 32 , and subsequently,…”