On the Achievable Diversity Multiplexing Tradeoff for Dynamic and Static DF in the Two-Way Channel

Ao ZHAN  Chen HE  Ling-ge JIANG  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E94-A   No.10   pp.2063-2067
Publication Date: 2011/10/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E94.A.2063
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Information Theory
DMT,  DDF,  SDF,  two-way,  network coding,  

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In this letter, dynamic decode-and-forward (DDF) protocol and static decode-and-forward (SDF) protocol are considered in a two-way half-duplex fading system, where two sources are equipped with multiple antennas and a relay is equipped with a single antenna. Their closed-form expressions of diversity multiplexing tradeoff (DMT) are derived, respectively. From the results, DDF always outperforms SDF in terms of DMT, achieves DMT gain over nonorthogonal amplify-and-forward (NAF) in low spectral efficiency scenarios, but is inferior to NAF in high spectral efficiency scenarios.