6th International ICST Conference on Broadband Communications, Networks, and Systems

Research Article

A Simple Near-Capacity Concatenation Scheme Over MISO Channels

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  • @INPROCEEDINGS{10.4108/ICST.BROADNETS2009.7271,
        author={Nghi H. Tran and Tho Le-Ngoc and Tad Mastumoto and Ha H. Nguyen},
        title={A Simple Near-Capacity Concatenation Scheme Over MISO Channels},
        proceedings={6th International ICST Conference on Broadband Communications, Networks, and Systems},
        publisher={IEEE},
        proceedings_a={BROADNETS},
        year={2009},
        month={11},
        keywords={Multiple-input single-output (MISO) channels capacity-approaching performance EXIT chart convolutional code repetition code block code},
        doi={10.4108/ICST.BROADNETS2009.7271}
    }
    
  • Nghi H. Tran
    Tho Le-Ngoc
    Tad Mastumoto
    Ha H. Nguyen
    Year: 2009
    A Simple Near-Capacity Concatenation Scheme Over MISO Channels
    BROADNETS
    IEEE
    DOI: 10.4108/ICST.BROADNETS2009.7271
Nghi H. Tran1,*, Tho Le-Ngoc1,*, Tad Mastumoto2,3,*, Ha H. Nguyen4,*
  • 1: Department of Electrical & Computer Engineering, McGill University, Montreal, Quebec, Canada
  • 2: Japan Advanced Institute of Science and Technology, Japan
  • 3: Center for Wireless Communication at University of Oulu, Finland
  • 4: Department of Electrical & Computer Engineering, University of Saskatchewan, Saskatchewan, Canada
*Contact email: nghi.tran@mcgill.ca, tho@ece.mcgill.ca, matumoto@jaist.ac.jp, ha.nguyen@usask.ca

Abstract

This paper proposes a capacity-approaching, yet simple scheme over a multiple-input single-output (MISO) wireless fading channel, which is very common in the downlink of a cellular system. The proposed scheme is based on a concatenation of a mixture of short memory-length convolutional codes or repetition codes and a short, and simple rate-1 linear block code, followed by either 1-dimensional (1-D) anti-Gray or Gray mapping of quadrature phase-shift keying (QPSK) modulation. By interpreting rate-1 code together with 1-D mapping as a multi- D mapping performed over multiple transmit antennas, the error performance is analyzed in the turbo pinch-off region using EXIT chart. At first, a simple design criterion on the bit-wise mutual information with perfect a priori information is derived. Based on the obtained design criterion, an optimal rate-1 code for each 1-D mapping is then constructed to maximize the bit-wise mutual information with perfect a priori information. The combination of optimal rate-1 code and 1-D mapping results in a steep inner detector’s EXIT curve over an MISO channel, which matches very well to that of a simple outer code. It is demonstrated that the simple concatenation scheme can achieve a near-capacity performance over the MISO channels. In some cases, the selected mixed code is just a simple repetition code.