The Synergistic Gains of Coded Caching and Delayed Feedback

preprint2016arXivOpen access

Abstract

In this paper, we consider the KK-user cache-aided wireless MISO broadcast channel (BC) with random fading and delayed CSIT, and identify the optimal cache-aided degrees-of-freedom (DoF) performance within a factor of 4. The achieved performance is due to a scheme that combines basic coded-caching with MAT-type schemes, and which efficiently exploits the prospective-hindsight similarities between these two methods. This delivers a powerful synergy between coded caching and delayed feedback, in the sense that the total synergistic DoF-gain can be much larger than the sum of the individual gains from delayed CSIT and from coded caching. The derived performance interestingly reveals --- for the first time --- substantial DoF gains from coded caching, even when the (normalized) cache size γγ (fraction of the library stored at each receiving device) is very small. Specifically, a microscopic γ≈e−Gγ\approx e^{-G} can come within a factor of GG from the interference-free optimal. For example, storing at each device only a \emph{thousandth} of what is deemed as `popular' content (γ≈10−3γ\approx 10^{-3}), we approach the interference-free optimal within a factor of ln(103)≈7ln(10^3) \approx 7 (per user DoF of 1/71/7), for any number of users. This result carries an additional practical ramification as it reveals how to use coded caching to essentially buffer CSI, thus partially ameliorating the burden of having to acquire real-time CSIT.

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