ChinaCom2009-Signal Processing for Communications Symposium

Research Article

Rate Regions of a Two-Way Gaussian Relay Channel

  • @INPROCEEDINGS{10.1109/CHINACOM.2009.5339832,
        author={Jianquan Liu and Meixia Tao and Youyun Xu},
        title={Rate Regions of a Two-Way Gaussian Relay Channel},
        proceedings={ChinaCom2009-Signal Processing for Communications Symposium},
  • Jianquan Liu
    Meixia Tao
    Youyun Xu
    Year: 2009
    Rate Regions of a Two-Way Gaussian Relay Channel
    DOI: 10.1109/CHINACOM.2009.5339832
Jianquan Liu1,*, Meixia Tao1,*, Youyun Xu1
  • 1: Department of Electronic Engineering Shanghai Jiao Tong University, Shanghai, 200240, China
*Contact email:,


We study two-way communications over a threenode Gaussian relay channel. Several practical relaying strategies are considered, including bitwise XOR-based decode-andforward (DF), superposition-based DF, and amplify-and-forward (AF). For each considered two-way relay scheme, we show that its achievable rate pair is governed by a set of linear inequalities. As a result, we obtain explicit, analytical expressions as well as geometrical shapes of the rate regions for each scheme. Our analytical results provide a convenient and efficient way to evaluate the performance of two-way relaying at any channel conditions. Numerical examples are also presented to demonstrate and compare the rate regions and maximum sumrates of the considered schemes at different relay locations.