Capacity of Broadcast Packet Erasure Channels with Single-User Delayed CSI
Journal
IEEE Transactions on Information Theory
Journal Volume
67
Journal Issue
10
Pages
6283-6295
Date Issued
2021
Author(s)
Abstract
We characterize the capacity region of the two-user broadcast packet erasure channel (PEC) with single-user delayed channel state information (CSI). More precisely, we assume one receiver does not provide its channel state to the other two nodes (the other receiver and the transmitter), while the other receiver reveals its state globally with unit delay. This is a hybrid CSI at the transmitter (CSIT) setting where the transmitter has the delayed CSI of one user but not the other. Previous results developed opportunistic network coding schemes for this setting, which strictly enlarge the achievable rate region compared to the no-CSIT baseline. Characterization of the capacity region with single-user delayed CSI, however, remained open. In this work, we develop an improved achievability strategy and show that the capacity region, surprisingly, matches that of the broadcast PEC with global delayed CSI of both users. The key to such improvement over previous results is a new precoding strategy for the retransmission phase of the opportunistic network coding scheme. It harnesses the single-user delayed CSI in the retransmission phase, so that interference from the feedback receiver can be aligned at the other receiver. Besides the broadcast PEC with two private messages, an extension to a model with an additional common message is also provided and the corresponding capacity region with single-user CSI also matches that with global delayed CSI. Finally, further extensions to three-user cases are also provided. ? 1963-2012 IEEE.
Subjects
Automatic Repeat reQuest (ARQ)
Broadcast channel (BC)
feedback
Network coding
Transmitters
Achievability
Achievable rate region
Broadcast packet
Capacity regions
Common messages
One receivers
Opportunistic network coding
Retransmissions
Channel state information
Type
journal article