In this article, we investigate the ergodic sum rate (ESR) capacity achieving uplink (UL) transmit design for massive multiple-input multiple-output (MIMO) low earth orbit (LEO) satellite communications with statistical channel state information at the user terminals (UTs). The UL massive MIMO LEO satellite channel model with uniform planar array configurations at the satellite and UTs is presented. We prove that the rank of each UT's optimal transmit covariance matrix does not exceed that of its channel correlation matrix at the UT side, which reveals the maximum number of independent data streams transmitted from each UT to the satellite. We then prove that the transmit covariance matrix design can be transformed into the lower dimensional matrix design without loss of optimality. We also obtain a necessary and sufficient condition when single data stream transmission from each UT to the satellite can achieve the ESR capacity. A conditional gradient (CG) method is developed to compute the ESR capacity achieving transmit covariance matrices. Furthermore, to avoid the exhaustive sample average, we utilize an asymptotic expression of the ESR and devise a simplified CG method to compute the transmit covariance matrices, which can approximate the ESR capacity. Simulations demonstrate the effectiveness of the proposed approaches.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Ergodic Sum Rate Capacity Achieving Transmit Design for Massive MIMO LEO Satellite Uplink Transmission


    Beteiligte:
    Li, Ke-Xin (Autor:in) / Gao, Xiqi (Autor:in) / Xia, Xiang-Gen (Autor:in)


    Erscheinungsdatum :

    01.06.2024


    Format / Umfang :

    1887660 byte




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Massive MIMO Uplink Transmission for Multiple LEO Satellite Communication

    Xiang, Ziyu / Sun, Rui / Gong, Xinrui et al. | IEEE | 2025


    Ergodic Rate Analysis of Massive MIMO Systems in K-Fading Environment

    Mushtaq, Muhammad Tauseef / Hassan, Syed Ali / Jayakody, Dushantha Nalin K. | IEEE | 2016


    Evaluation of Uplink Capacity of User-Cluster-Centric Cell-Free massive MIMO

    Takahashi, Ryo / Matsuo, Hidenori / Xia, Sijie et al. | IEEE | 2022


    Spatial Uplink Power Control for Massive MIMO

    Hasan, Wael Boukley / Harris, Paul / Doufexi, Angela et al. | IEEE | 2017