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Multiple-antenna Placement Delivery Array for Cache-aided MISO Systems

We consider the cache-aided multiple-input single-output (MISO) broadcast channel, which consists of a server with L antennas and K single-antenna users, where the server contains N files of equal length and each user is equipped with a local cache of size M files. Each user requests an arbitrary fi...

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Bibliographic Details
Published in:IEEE transactions on information theory 2023-08, Vol.69 (8), p.1-1
Main Authors: Yang, Ting, Wan, Kai, Cheng, Minquan, Qiu, Robert Caiming, Caire, Giuseppe
Format: Article
Language:English
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Summary:We consider the cache-aided multiple-input single-output (MISO) broadcast channel, which consists of a server with L antennas and K single-antenna users, where the server contains N files of equal length and each user is equipped with a local cache of size M files. Each user requests an arbitrary file from library. The objective is to design a coded caching scheme based on uncoded placement and one-shot linear delivery, to achieve the maximum sum Degree-of-Freedom (sum-DoF) with low subpacketization. It was shown in the literature that under the constraint of uncoded placement and one-shot linear delivery, the maximum sum-DoF is min{ L + KM/N , K }. However, previously proposed schemes for this setting incurred either an exponential subpacketization order in K , or required specific conditions in the system parameters L, K, M and N . In this paper, we propose a new combinatorial structure called multiple-antenna placement delivery array (MAPDA). Based on MAPDA and Latin square, the first proposed scheme achieves the maximum sum-DoF min{ L + KM/N , K } with the subpacketization of K when KM/N + L = K . Subsequently, for the general case we propose a transformation approach to construct an MAPDA from any g -regular PDA (a class of placement delivery arrays for the shared link caching problem where each integer in the array occurs g times). When g -regular PDA corresponds to the Maddah-Ali and Niesen scheme, the resulting MAPDA yields the maximum sum-DoF min{ L + KM/N , K } with reduced subpacketization compared to the existing schemes. The general scheme can be extended to the multiple independent single-antenna transmitters (servers) corresponding to the cache-aided interference channel proposed by Naderializadeh et al. and the scenario of transmitters equipped with multiple antennas.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2023.3262935