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Capacity Results for Intermittent X-Channels with Delayed Channel State Feedback

2018/01/09 by Alireza Vahid, Vahid, Alireza
Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #Binary erasure channel #Channel (broadcasting) #Channel capacity #Channel state information #Combinatorics #Computer network #Computer science #Control (management) #Control theory (sociology) #Cooperative Communication and Network Coding #Entropy (arrow of time) #FOS: Computer and information sciences #Homogeneous #Information Theory (cs.IT) #Interference (communication) #MIMO #Mathematics #Multicast #Physics #Precoding #Telecommunications #Topology (electrical circuits) #Transmission (telecommunications) #Transmitter #Wireless #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.1801.03066

openalex publication_date 2018/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We characterize the capacity region of noiseless X-Channels with intermittent connectivity and delayed channel state information at the transmitters. We consider the general case in which each transmitter has a common message for both receivers, and a private message for each one of them. We develop a new set of outer-bounds that quantify the interference alignment capability of each transmitter with delayed channel state feedback and when each receiver must receive a baseline entropy corresponding to the common message. We also develop a transmission strategy that achieves the outer-bounds under homogeneous channel assumption by opportunistically treating the X-Channel as a combination of a number of well-known problems such as the interference channel and the multicast channel. The capacity-achieving strategies of these sub-problems must be interleaved and carried on simultaneously in certain regimes in order to achieve the X-Channel outer-bounds. We also extend the outer-bounds to include non-homogeneous channel parameters.

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