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Feedback and Partial Message Side-Information on the Semideterministic\n Broadcast Channel

2015/08/08 by Annina Bracher, Bracher, Annina, Michèle Wigger +1
Computer Science · Engineering · #Cooperative Communication and Network Coding #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.1508.01880

openalex publication_date 2015/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The capacity of the semideterministic discrete memoryless broadcast channel\n(SD-BC) with partial message side-information (P-MSI) at the receivers is\nestablished. In the setting without a common message, it is shown that P-MSI to\nthe stochastic receiver alone can increase capacity, whereas P-MSI to the\ndeterministic receiver can only increase capacity if also the stochastic\nreceiver has P-MSI. The latter holds only for the setting without a common\nmessage: if the encoder also conveys a common message, then P-MSI to the\ndeterministic receiver alone can increase capacity.\n These capacity results are used to show that feedback from the stochastic\nreceiver can increase the capacity of the SD-BC without P-MSI and the sum-rate\ncapacity of the SD-BC with P-MSI at the deterministic receiver. The link\nbetween P-MSI and feedback is a feedback code, which---roughly speaking---turns\nfeedback into P-MSI at the stochastic receiver and hence helps the stochastic\nreceiver mitigate experienced interference. For the case where the stochastic\nreceiver has full MSI (F-MSI) and can thus fully mitigate experienced\ninterference also in the absence of feedback, it is shown that feedback cannot\nincrease capacity.\n

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