Multicast Beamformer Design for MIMO Coded Caching Systems

Coded caching (CC) techniques have been shown to be conveniently applicable in multi-input multi-output (MIMO) systems. In a $K$-user network with spatial multiplexing gains of $L$ at the transmitter and $G$ at every receiver, if each user can cache a fraction $\gamma$ of the file library, a total number of $GK\gamma + L$ data streams can be served in parallel. In this paper, we focus on improving the finite-SNR performance of MIMO-CC systems. We first consider a MIMO-CC scheme that relies only on unicasting individual data streams, and then, introduce a decomposition strategy to design a new scheme that delivers the same data streams through multicasting of $G$ parallel codewords. We discuss how optimized beamformers could be designed for each scheme and use numerical simulations to compare their finite-SNR performance. It is shown that while both schemes serve the same number of streams, multicasting provides notable performance improvements. This is because, with multicasting, transmission vectors are built with fewer beamformers, leading to more efficient usage of available power resources

Optimal Fairness Scheduling for Coded Caching in Multi-AP Wireless Local Area Networks

Coded caching schemes exploit the cumulative cache memory of the users by using simple linear encoders, outperforming uncoded schemes where cache contents are only used locally. Considering multi-AP WLANs and video-on-demand (VoD) applications where users stream videos by sequentially requesting video ``chunks", we apply existing coded caching techniques with reduced subpacketization order, and obtain a computational method to determine the theoretical throughput region of the users' content delivery rates, calculated as the number of chunks delivered per unit of time per user. We then solve the fairness scheduling problem by maximizing the desired fairness metric over the throughput region. We also provide two heuristic methods with reduced complexity, where one of them maximizes the desired fairness metric over a smaller region than the throughput region, and the other uses a greedy algorithmic approach to associate users with APs in a fair way