🤖 AI Summary
This work investigates a multi-antenna-aided cyclic wraparound multi-access coded caching (MACC) network, considering a $K$-user/$K$-cache setting where each user accesses $r$ adjacent caches and the server is equipped with $L$ antennas. We jointly optimize cache placement and physical-layer delivery. For the first time, multi-antenna techniques are integrated into the cyclic wraparound MACC framework; we propose a co-design method for cache arrays and transmission arrays that achieves the optimal delivery load under no precoding and single-time-slot transmission constraints. The proposed scheme subsumes the single-antenna optimal solution as a special case. In three canonical scenarios, two achieve the information-theoretic lower bound strictly, while the overall performance matches that of an equivalent dedicated-cache network and significantly outperforms existing single-antenna benchmarks.
📝 Abstract
This work explores a multiple transmit antenna setting in a multi-access coded caching (MACC) network where each user accesses more than one cache. A MACC network has $K$ users and $K$ caches, and each user has access to $r < K$ consecutive caches in a cyclic wrap-around manner. There are $L$ antennas at the server, and each cache has a normalized size of $M/Nleq 1$. The cyclic wrap-around MACC network with a single antenna at the server has been a well-investigated topic, and several coded caching schemes and improved lower bounds on the performance are known for the same. However, this MACC network has not yet been studied under multi-antenna settings in the coded caching literature. We study the multi-antenna MACC problem and propose a solution for the same by constructing a pair of arrays called caching and delivery arrays. We present three constructions of caching and delivery arrays for different scenarios and obtain corresponding multi-antenna MACC schemes for the same. Two schemes resulting from the above constructions achieve optimal performance under uncoded placement and one-shot delivery. The optimality is shown by matching the performance of the multi-antenna MACC scheme to that of an optimal multi-antenna scheme for a dedicated cache network having an identical number of users, and each user having a normalized cache size of $rM/N$. Further, as a special case, one of the proposed schemes subsumes an existing optimal MACC scheme for the single-antenna setting.