On the Evaluation of Marton’s Inner Bound for Two-Receiver Broadcast Channels
Publication in refereed journal


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摘要Marton's inner bound is the best known achievable rate region for a general two-receiver discrete memoryless broadcast channel. In this paper, we establish improved bounds on the cardinalities of the auxiliary random variables appearing in this inner bound to the true rate region. We combine a perturbation technique, along with a representation using concave envelopes of information-theoretic functions that involve the use of auxiliary random variables, to achieve this improvement. The new cardinality bounds lead to a proof that a randomized-time-division strategy achieves every rate triple in Marton's region for binary input broadcast channels. This extends the result by Hajek and Pursley which showed that the Cover-van der Muelen region was exhausted by the randomized-time-division strategy.
著者Venkat Anantharam, Amin Gohari, Chandra Nair
期刊名稱IEEE Transactions on Information Theory
出版年份2019
月份3
卷號65
期次3
出版社IEEE
頁次1361 - 1371
國際標準期刊號0018-9448
電子國際標準期刊號1557-9654
語言美式英語

上次更新時間 2021-26-10 於 00:44