On the Capacity of 1-to-$K$ Broadcast Packet Erasure Channels With Channel Output Feedback
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Publication:5272117
DOI10.1109/TIT.2011.2173723zbMATH Open1365.94352arXiv1010.2433OpenAlexW2555338699MaRDI QIDQ5272117
Publication date: 12 July 2017
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Abstract: This paper focuses on the 1-to-K broadcast packet erasure channel (PEC), which is a generalization of the broadcast binary erasure channel from the binary symbol to that of arbitrary finite fields GF(q) with sufficiently large q. We consider the setting in which the source node has instant feedback of the channel outputs of the K receivers after each transmission. Such a setting directly models network coded packet transmission in the downlink direction with integrated feedback mechanisms (such as Automatic Repeat reQuest (ARQ)). The main results of this paper are: (i) The capacity region for general 1-to-3 broadcast PECs, and (ii) The capacity region for two classes of 1-to-K broadcast PECs: the symmetric PECs, and the spatially independent PECs with one-sided fairness constraints. This paper also develops (iii) A pair of outer and inner bounds of the capacity region for arbitrary 1-to-K broadcast PECs, which can be evaluated by any linear programming solver. For most practical scenarios, the outer and inner bounds meet and thus jointly characterize the capacity.
Full work available at URL: https://arxiv.org/abs/1010.2433
Related Items (3)
Network coding for line networks with broadcast channels ⋮ The Feedback Capacity of the Binary Erasure Channel With a No-Consecutive-Ones Input Constraint ⋮ The Capacity Region of Two-Receiver Multiple-Input Broadcast Packet Erasure Channels With Channel Output Feedback
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