Krishnan Namboodiri, KK and Peter, E and Rajan, BS (2022) Extended Placement Delivery Arrays for Multi-Antenna Coded Caching Scheme. In: IEEE International Symposium on Information Theory - Proceedings, 26 June 2022 through 1 July 2022, Espoo, pp. 1518-1523.
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Abstract
The multi-antenna coded caching problem, where the server having L transmit antennas communicating to K users through a wireless broadcast link, is addressed. In the problem setting, the server has a library of N files, and each user is equipped with a dedicated cache of capacity M. The idea of extended placement delivery array (EPDA), an array which consists of a special symbol ∗ and integers in a set {1, 2,..., S}, is proposed to obtain a novel solution for the aforementioned multiantenna coded caching problem. From a (K, L, F, Z, S) EPDA, a multi-antenna coded caching scheme with K users, and the server with L transmit antennas, can be obtained in which the normalized memory M/N = Z/F, and the delivery time T = S/F. The placement delivery array (for single-antenna coded caching scheme) is a special class of EPDAs with L = 1. For the multiantenna coded caching schemes constructed from EPDAs, it is shown that the maximum possible Degree of Freedom (DoF) that can be achieved is t + L, where t = KM/N is an integer. Furthermore, two constructions of EPDAs are proposed: a) K = t + L, and b) K = nt + (n - 1)L, L ≥ t, where n ≥ 2 is an integer. In the resulting multi-antenna schemes from those EPDAs achieve the full DoF, while requiring a subpacketization number K/gcd (K,t,L). This subpacketization number is less than that required by previously known schemes in the literature.
| Item Type: | Conference Paper |
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| Publication: | IEEE International Symposium on Information Theory - Proceedings |
| Publisher: | Institute of Electrical and Electronics Engineers Inc. |
| Additional Information: | The copyright for this article belongs to the Author. |
| Keywords: | Antenna arrays, Antenna schemes; Caching scheme; Delivery time; Multi-antenna; Novel solutions; Single antenna; Special class; Special symbols; Transmit antenna; Wireless broadcast, Degrees of freedom (mechanics) |
| Department/Centre: | Division of Electrical Sciences > Electrical Communication Engineering |
| Date Deposited: | 15 Sep 2022 05:43 |
| Last Modified: | 15 Sep 2022 05:43 |
| URI: | https://eprints.iisc.ac.in/id/eprint/76466 |
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