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arXiv 1903.08142cs.ITmath.IT
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具有不同缓存大小的设备到设备编码缓存

Device-to-Device Coded Caching with Distinct Cache Sizes

Abdelrahman M. Ibrahim, Ahmed A. Zewail, Aylin Yener

摘要:

本文考虑了一种缓存辅助的设备到设备(D2D)系统,其中用户配备有不同大小的缓存存储器。在低业务量时间期间,服务器将内容放置在用户的高速缓存存储器中,知道用户在高峰业务量时间期间请求的文件将必须仅通过D2D传输来递送。通过联合设计未编码的高速缓存放置和线性编码的D2D递送,最坏情况的D2D递送负载被最小化。接下来,提出了关于具有未编码放置的D2D递送负载的新的下限,并且用于针对若干感兴趣的情况明确地表征具有未编码放置的最小D2D递送负载(MD2D)。特别是,具有相等的高速缓存大小的MD2的特点,它示出了相同的交付负载可以实现在网络中与不相等的高速缓存大小的用户,只要最小的高速缓存大小大于一定的阈值。MD2 Cache还具有小缓存大小机制、大缓存大小机制和三用户情况的特征。提供了基于服务器的递送负载与D2D递送负载的比较。最后,高速缓存辅助的D2D系统和编码的分布式计算(CDC)系统之间的连接和数学上的相似之处进行了讨论。

英文摘要:

This paper considers a cache-aided device-to-device (D2D) system where the users are equipped with cache memories of different size. During low traffic hours, a server places content in the users' cache memories, knowing that the files requested by the users during peak traffic hours will have to be delivered by D2D transmissions only. The worst-case D2D delivery load is minimized by jointly designing the uncoded cache placement and linear coded D2D delivery. Next, a novel lower bound on the D2D delivery load with uncoded placement is proposed and used in explicitly characterizing the minimum D2D delivery load (MD2DDL) with uncoded placement for several cases of interest. In particular, having characterized the MD2DDL for equal cache sizes, it is shown that the same delivery load can be achieved in the network with users of unequal cache sizes, provided that the smallest cache size is greater than a certain threshold. The MD2DDL is also characterized in the small cache size regime, the large cache size regime, and the three-user case. Comparisons of the server-based delivery load with the D2D delivery load are provided. Finally, connections and mathematical parallels between cache-aided D2D systems and coded distributed computing (CDC) systems are discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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