论文标题

无线缓存的基本极限

Fundamental Limits of Wireless Caching Under Mixed Cacheable and Uncacheable Traffic

论文作者

Joudeh, Hamdi, Lampiris, Eleftherios, Elia, Petros, Caire, Giuseppe

论文摘要

我们考虑了缓存的无线通信方案,其中每个用户都从A-Priori生成的可缓存库(称为“内容”)以及在无线传输会话开始时生成的不可接受的“非核心”消息。这种情况很容易在现实世界无线网络中找到,在该网络中,两种类型的流量共存并共享有限的无线电资源。我们专注于带有缓存接收器的单人X射手,单人体无线网络,其中无线通道由降级的高斯广播通道(GBC)建模。对于这种设置,我们研究了延迟利率的权衡,这表征了内容交付时间和非及时的通信率,可以同时实现。我们提出了一个基于分离原理的方案,该方案将编码的缓存和多播问题与物理层传输问题分离出来。我们表明,这种基于分离的方案足以实现理论上订购最佳性能的信息,在内容交付时间以广义自由度(GDOF)限制工作时,内容交付时间为2.01。我们进一步表明,在放宽GDOF限制后,可实现的性能几乎是最佳的,对于非持续率,每个维度的额外添加剂为2位。从我们的方案中出现的一个关键见解是,在某些情况下,可以传达相当多的非关注流量,同时保持最小内容交付时间,而在没有非关注消息的情况下实现了;无线通道增长中不对称引起的“拓扑孔”的称赞。

We consider cache-aided wireless communication scenarios where each user requests both a file from an a-priori generated cacheable library (referred to as 'content'), and an uncacheable 'non-content' message generated at the start of the wireless transmission session. This scenario is easily found in real-world wireless networks, where the two types of traffic coexist and share limited radio resources. We focus on single-transmitter, single-antenna wireless networks with cache-aided receivers, where the wireless channel is modelled by a degraded Gaussian broadcast channel (GBC). For this setting, we study the delay-rate trade-off, which characterizes the content delivery time and non-content communication rates that can be achieved simultaneously. We propose a scheme based on the separation principle, which isolates the coded caching and multicasting problem from the physical layer transmission problem. We show that this separation-based scheme is sufficient for achieving an information-theoretically order optimal performance, up to a multiplicative factor of 2.01 for the content delivery time, when working in the generalized degrees of freedom (GDoF) limit. We further show that the achievable performance is near-optimal after relaxing the GDoF limit, up to an additional additive factor of 2 bits per dimension for the non-content rates. A key insight emerging from our scheme is that in some scenarios considerable amounts of non-content traffic can be communicated while maintaining the minimum content delivery time, achieved in the absence of non-content messages; compliments of 'topological holes' arising from asymmetries in wireless channel gains.

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