An achievable rate region and a capacity outer bound for 3‐user Gaussian multiple access channel with feedback

• Published in: International journal of communication systems Vol. 31; no. 9
• Main Authors: Boostanpour, Jafar, Abed Hodtani, Ghosheh
• Format: Journal Article
• Language: English
• Published: Chichester Wiley Subscription Services, Inc 01-06-2018
• Subjects: achievable rate region; Computation; Feedback; Gaussian multiple access channel; Multiple access; outer bound; Transmitters
• ISSN: 1074-5351; 1099-1131
• DOI: 10.1002/dac.3550

Summary
Extension of the Ozarow capacity theorem for 2‐transmitter Gaussian multiple access channel (MAC) with feedback to the channels with more than 2 transmitters is a widely studied and long standing problem (for example, see the Kramer sum‐capacity region). In this paper, we investigate and analyze this possible extension. Specifically, exploiting a class of Schalkwijk‐Kailath linear feedback codes, we obtain an achievable rate region for 3‐user Gaussian MAC with full feedback and also a capacity outer bound. Then the results are extended for a case where there is no feedback link for one user, and the corresponding achievable rate region and capacity outer bound are computed. Furthermore, the gap between the derived rates and the sum capacity of 3‐user Gaussian MAC with full and partial feedback is computed under special assumptions.
In this paper, we obtain an achievable rate region for 3‐user Gaussian MAC with full feedback and also a capacity outer bound. Then the results are extended for a case where there is no feedback link for one user, and the corresponding achievable rate region and capacity outer bound are computed. Furthermore, the gap between the derived rates and the sum capacity of 3‐user Gaussian MAC with full and partial feedback is computed under special assumptions.