Mobile Lightweight Wireless Systems. Third International ICST Conference, MOBILIGHT 2011, Bilbao, Spain, May 9-10, 2011, Revised Selected Papers

Research Article

Capacity Region of the Two-Way Multi-antenna Relay Channel with Analog Tx-Rx Beamforming

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  • @INPROCEEDINGS{10.1007/978-3-642-29479-2_1,
        author={Cristian Lameiro and Alfredo Naz\^{a}bal and Fouad Gholam and Javier V\^{\i}a and Ignacio Santamar\^{\i}a},
        title={Capacity Region of the Two-Way Multi-antenna Relay Channel with Analog Tx-Rx Beamforming},
        proceedings={Mobile Lightweight Wireless Systems. Third International ICST Conference, MOBILIGHT 2011, Bilbao, Spain, May 9-10, 2011, Revised Selected Papers},
        proceedings_a={MOBILIGHT},
        year={2012},
        month={10},
        keywords={two-way relay channel analog beamforming convex optimization capacity region},
        doi={10.1007/978-3-642-29479-2_1}
    }
    
  • Cristian Lameiro
    Alfredo Nazábal
    Fouad Gholam
    Javier Vía
    Ignacio Santamaría
    Year: 2012
    Capacity Region of the Two-Way Multi-antenna Relay Channel with Analog Tx-Rx Beamforming
    MOBILIGHT
    Springer
    DOI: 10.1007/978-3-642-29479-2_1
Cristian Lameiro1,*, Alfredo Nazábal1,*, Fouad Gholam1,*, Javier Vía1,*, Ignacio Santamaría1,*
  • 1: University of Cantabria
*Contact email: lameiro@gtas.dicom.unican.es, alfredo@gtas.dicom.unican.es, fouad@gtas.dicom.unican.es, jvia@gtas.dicom.unican.es, nacho@gtas.dicom.unican.es

Abstract

In this paper we study the multiple-input multiple-output two-way relay channel (MIMO-TWRC) when the nodes use analog beamforming. Following the amplify-and-forward (AF) strategy, the problem consists of finding the transmit and receive beamformers of the nodes and the relay, and the power allocated to each one, that achieve the boundary of the capacity region. We express the optimal node beamformers in terms of the relay beamformers, and show that the capacity region can be efficiently characterized using convex optimization techniques. Numerical examples are provided to illustrate the results of this paper, and to compare the capacity region achieved by analog beamforming against the conventional MIMO schemes that operate at the baseband.