期刊
2020 IEEE INFORMATION THEORY WORKSHOP (ITW)
卷 -, 期 -, 页码 -出版社
IEEE
DOI: 10.1109/ITW46852.2021.9457643
关键词
-
资金
- European Research Council under the EU [725929]
- European Research Council (ERC) [725929] Funding Source: European Research Council (ERC)
The study addresses a problem in the broadcast channel, focusing on the cache-aided PN problem and determining the optimal rate-memory trade-off under certain conditions.
One of the famous problems in communications was the so-called PN problem in the Broadcast Channel, which refers to the setting where a fixed set of users provide perfect Channel State Information (CSI) to a multi-antenna transmitter, whereas the remaining users only provide finite precision CSI or no CSI. The Degrees-of-Freedom (DoF) of that setting were recently derived by means of the Aligned Image Set approach. In this work, we resolve the cache-aided variant of this problem (i.e., the PN setting with side information) in the regime where the number of users providing perfect CSI is smaller than or equal to the number of transmit antennas. In particular, we derive the optimal rate-memory trade-off under the assumption of uncoded placement, and characterize the same trade-off within a factor of 2.01 for general placement. The result proves that the PN impact remains similar even in the presence of side information, but also that the optimal trade-off is not achievable through serving independently the two sets of users.
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