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DoF Upper Bound on Three-User MISO Broadcast Channel with Two Antennas and Mixed CSIT

2023/06/25 by Shuo Zheng, Tong Zhang, Zheng, Shuo +11
Engineering · #Advanced MIMO Systems Optimization #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Body Area Networks #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.2306.14246

openalex publication_date 2023/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

With delayed and imperfect current channel state information at the transmitter (CSIT), namely mixed CSIT, the sum degrees-of-freedom (sum-DoF) in the two-user multiple-input multiple-output (MIMO) broadcast channel and the K-user multiple-input single-output (MISO) broadcast channel with not-less-than-K transmit antennas have been obtained. However, the case of the three-user broadcast channel with two transmit antennas and mixed CSIT is still unexplored. In this paper, we investigate the sum-DoF upper bound of three-user MISO broadcast channel with two transmit antennas and mixed CSIT. By exploiting genie-aided signaling and extremal inequalities, we derive the sum-DoF upper bound as (1-α)3/2 + 9α/4, which is at most 12.5% larger than the expected sum-DoF, given by (1-α)3/2 + 2α. This indicates that the gap may mitigate by better bounding the imperfect current CSIT counterpart.

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