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Optimal Coding Schemes for the Three-Receiver AWGN Broadcast Channel With Receiver Message Side Information

机译:具有接收方消息辅助信息的三接收方AWGN广播信道的最佳编码方案

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摘要

This paper investigates the capacity region of the three-receiver AWGN broadcast channel where the receivers: 1) have private-message requests and 2) may know some of the messages requested by other receivers as side information. We first classify all 64 possible side information configurations into eight groups, each consisting of eight members. We next construct transmission schemes, and derive new inner and outer bounds for the groups. This establishes the capacity region for 52 out of 64 possible side information configurations. For six groups (i.e., groups 1, 2, 3, 5, 6, and 8 in our terminology), we establish the capacity region for all their members, and show that it tightens both the best-known inner and outer bounds. For group 4, our inner and outer bounds tighten the best-known inner bound and/or outer bound for all the group members. Moreover, our bounds coincide at certain regions, which can be characterized by two thresholds. For group 7, our inner and outer bounds coincide for four members, and thereby establishing the capacity region. For the remaining four members, our bounds tighten both the best-known inner and outer bounds.
机译:本文研究了三接收器AWGN广播信道的容量区域,其中接收器:1)具有私人消息请求,并且2)可能知道其他接收器请求的某些消息作为辅助信息。我们首先将所有64种可能的辅助信息配置分为八个组,每个组由八个成员组成。接下来,我们构造传输方案,并为组导出新的内部和外部边界。这为64种可能的辅助信息配置中的52种建立了容量区域。对于六个组(即我们的术语中的第1、2、3、5、6和8组),我们为所有成员建立了容量区域,并显示出它收紧了最著名的内部和外部边界。对于第4组,我们的内部边界和外部边界会收紧所有组成员的最著名内部边界和/或外部边界。此外,我们的界限在某些区域是重合的,可以用两个阈值来表征。对于第7组,我们的内部边界和外部边界对四个成员重合,从而建立了能力区域。对于剩下的四个成员,我们的边界都紧缩了最著名的内部和外部边界。

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