Multi-antenna coded caching is known to combine a global caching gain that is proportional to the cumulative cache size found across the network, with an additional spatial multiplexing gain that stems from using multiple transmitting antennas. However, a closer look reveals two severe bottlenecks; the well-known exponential subpacketization bottleneck that dramatically reduces performance when the communicated file sizes are finite, and the considerable optimization complexity of beamforming multicast messages when the SNR is finite. We here present an entirely novel caching scheme, termed \emph{cyclic multi-antenna coded caching}, whose unique structure allows for the resolution of the above bottlenecks in the crucial regime of many transmit antennas. For this regime, where the multiplexing gain can exceed the coding gain, our new algorithm is the first to achieve the exact one-shot linear optimal DoF with a subpacketization complexity that scales only linearly with the number of users, and the first to benefit from a multicasting structure that allows for exploiting uplink-downlink duality in order to yield optimized beamformers ultra-fast. In the end, our novel solution provides excellent performance for networks with finite SNR, finite file sizes, and many users.
翻译:多antenna 代码化缓存已知将全球缓冲增量与整个网络发现的累积缓存规模成正比,同时通过使用多个传输天线,增加空间多重增益。然而,仔细看会发现两个严重的瓶颈;众所周知的指数分包子分包瓶颈,在传送文件大小有限时会大大降低性能,在SNR有限时,波形成形多播电的复杂度会大大降低性能。我们在这里展示了一个全新的缓冲机制,称为\emph{cycluic multian-antenna cod cashing},其独特结构使得许多传输天线的关键系统能够解决上述瓶颈问题。对于这个机制,如果多克斯增量能够超过编码增益,那么我们的新算法是第一个实现精确的一发线性最佳DoF,其子包式复杂度只能与用户数量成直线度,并且首先从多盘化结构中获益,以便利用上链下行双向双向双向的双向关系,从而实现最优化的超时,我们的新算式的用户。