Multicast Transmission Design with Enhanced DoF for MIMO Coded Caching Systems

Integrating coded caching (CC) techniques into multi-input multi-output (MIMO) setups provides a substantial performance boost in terms of the achievable degrees of freedom (DoF). In this paper, we study cache-aided MIMO setups where a single server with $L$ transmit antennas communicates with a number of users each with $G$ receive antennas. We extend a baseline CC scheme, originally designed for multi-input single-output (MISO) systems, to the considered MIMO setup. However, in a proposed MIMO approach, instead of merely replicating the transmit strategy from the baseline MISO scheme, we adjust the number of users served in each transmission to maximize the achievable DoF. This approach not only makes the extension more flexible in terms of supported network parameters but also results in an improved DoF of $\max_{\beta \le G} \beta \lfloor \frac{L-1}{\beta} \rfloor + \beta (t+1)$, where $t$ is the coded caching gain. In addition, we also propose a high-performance multicast transmission design for the considered MIMO-CC setup by formulating a symmetric rate maximization problem in terms of the transmit covariance matrices for the multicast signals and solving the resulting non-convex problem using successive convex approximation. Finally, we use numerical simulations to verify both improved DoF results and enhanced MIMO multicasting performance.