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A Linearly Precoded Rate Splitting Approach and Its Optimality for MIMO Broadcast Channels

Abstract : Previously, the authors have shown that linear precoding with only private streams can have unbounded gap to the sum capacity of the two-user multi-input single-output (MISO) broadcast channel (BC), and that rate-splitting (RS) combined with zero-forcing (ZF) can reduce the gap to a constant number of bits per channel use. In this paper, we extend the investigation to the general K-user multiple-input multiple-output (MIMO) channel. We propose a RS scheme with minimum mean square error (MMSE) precoding. First, we show that the proposed scheme achieves the whole capacity region to within a constant gap in the two-user case. Second, we prove that the proposed scheme does not enjoy the same optimality in the three-user case in general. Third, we provide a simple pathological example showing why RS with linear precoding does not work beyond the two-user case. The current study reveals a fundamental gap between the transmitter-side and the receiver-side interference mitigation.
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https://hal.archives-ouvertes.fr/hal-02157821
Contributor : Zheng Li <>
Submitted on : Monday, June 17, 2019 - 2:33:11 PM
Last modification on : Saturday, May 1, 2021 - 3:49:52 AM

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Zheng Li, Sheng Yang. A Linearly Precoded Rate Splitting Approach and Its Optimality for MIMO Broadcast Channels. 2018 IEEE Information Theory Workshop (ITW), Nov 2018, Guangzhou, China. pp.1-5, ⟨10.1109/ITW.2018.8613400⟩. ⟨hal-02157821⟩

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