5th International ICST Conference on Communications and Networking in China

Research Article

The capacity region of a product Gaussian broadcast channel with degraded message sets

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  • @INPROCEEDINGS{10.4108/chinacom.2010.84,
        author={Jae Won Yoo and Tie Liu and Yingbin Liang},
        title={The capacity region of a product Gaussian broadcast channel with degraded message sets},
        proceedings={5th International ICST Conference on Communications and Networking in China},
        publisher={IEEE},
        proceedings_a={CHINACOM},
        year={2011},
        month={1},
        keywords={Decoding Encoding Entropy Markov processes Receivers Transmitters},
        doi={10.4108/chinacom.2010.84}
    }
    
  • Jae Won Yoo
    Tie Liu
    Yingbin Liang
    Year: 2011
    The capacity region of a product Gaussian broadcast channel with degraded message sets
    CHINACOM
    ICST
    DOI: 10.4108/chinacom.2010.84
Jae Won Yoo1,*, Tie Liu1,*, Yingbin Liang2,*
  • 1: Dept. of Electrical & Computer Engineering, Texas A&M University, College Station, TX 77843
  • 2: Dept. of Electrical Engineering & Computer Science, Syracuse University, Syracuse, NY 13244
*Contact email: yoojw78@tamu.edu, tieliu@tamu.edu, yliang06@syr.edu

Abstract

A product Gaussian broadcast channel with three receivers and degraded message sets is considered. A single-letter characterization of the capacity region was obtained in a recent work of Nair and El Gamal based on superposition coding and indirect decoding. Through Lagrangian theory and an extremal entropy inequality, the single-letter expression of Nair and El Gamal is evaluated for the specific product Gaussian model, which leads to an explicit characterization of the capacity region.