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arXiv 1802.02706cs.ITmath.IT
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具有异构缓存大小和链接质量的编码缓存:双用户情况

Coded Caching with Heterogeneous Cache Sizes and Link Qualities: The Two-User Case

Daming Cao, Deyao Zhang, Pengyao Chen, Nan Liu, Wei Kang, Deniz Gündüz

摘要:

集中式编码缓存问题研究了两个用户的情况下,考虑异构缓存容量的用户和私人通道从服务器到用户,除了一个共享的通道。最佳的缓存和交付策略,最大限度地减少了最坏情况下的交付延迟的任意数量的文件。相反的证明遵循文件索引对称缓存和交付代码的充分性,而可扩展性是通过一些特殊的内存容量对之间的内存共享。最佳方案是利用私人链路的能力,通过发送相应的用户的请求在一个未编码的方式。当没有私有链接时,这里给出的结果改进了文献中的两个已知结果,即i)相等的缓存容量和任意数量的文件;和ii)不等的缓存容量和$N=2$文件。结果,然后扩展到异构失真要求的缓存问题。

英文摘要:

Centralized coded caching problem is studied for the two-user scenario, considering heterogeneous cache capacities at the users and private channels from the server to the users, in addition to a shared channel. Optimal caching and delivery strategies that minimize the worst-case delivery latency are presented for an arbitrary number of files. The converse proof follows from the sufficiency of file-index-symmetric caching and delivery codes, while the achievability is obtained through memory-sharing among a number of special memory capacity pairs. The optimal scheme is shown to exploit the private link capacities by transmitting part of the corresponding user`s request in an uncoded fashion. When there are no private links, the results presented here improve upon the two known results in the literature, namely, i) equal cache capacities and arbitrary number of files; and ii) unequal cache capacities and $N=2$ files. The results are then extended to the caching problem with heterogeneous distortion requirements.

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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