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

Jae Won Yoo; Tie Liu; Yingbin Liang

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.

Keywords: Decoding Encoding Entropy Markov processes Receivers Transmitters

Published: 2011-01-10
Publisher: IEEE

: http://dx.doi.org/10.4108/chinacom.2010.84

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

Abstract

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