Split labeling diversity for wireless half-duplex relay assisted cooperative communication systems

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Split labeling diversity for wireless half-duplex relay assisted cooperative communication systems Saqib Ejaz1

· Feng-Fan Yang1 · Hongjun Xu2

© Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract Labeling diversity (LD) is a well-known technique proposed for multi-antenna Wireless local area network (WLAN) applications . In this paper, we propose LD for three-terminal cooperative communication schemes i.e., Decode and Forward (DF) and Coded-cooperative (CC) schemes with each terminal using a single antenna for transmission. The Boosted space-time codeword is jointly constructed by source and a relay node in two phases and joint iterative detection and decoding are used at the destination node. This technique shows that the gains from LD can be further enhanced when used in cooperative communication schemes. Numerical analysis reveal that the proposed schemes DF and CC provide full diversity gains, over non-cooperative schemes, later scheme being the most successful one, under identical conditions using less number of antennas at each communication node and with reduced receiver complexity. Keywords Slow fading · Coded-cooperation · Bit-interleaved coded modulation · Labeling diversity

1 Introduction Labeling map is a function which suggests how binary encoded bits can be forged to assigned symbols which belong to any constellation set say χ . In [1], authors showed that the error correction performance of Bit-Interleaved Coded Modulation (BICM) depends on two primary factors i.e., the labeling map and iterative decoding. This was further demonstrated in [2], that an optimal labeling map exists for iteratively decoded bit-interleaved space-time coded modulation (BI-STCM). Different labeling maps for different transmission schemes and diversity orders for individual scheme were also determined. In [3], the author showed that there exists more optimum labeling maps for BI-STCM

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Saqib Ejaz [email protected] Feng-Fan Yang [email protected] Hongjun Xu [email protected]

1

College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

2

School of Engineering, University of KwaZulu-Natal, King George Avenue V, Durban 4041, South Africa

schemes when an iterative decoding is used at the receiver side, this scheme is referred to as Labeling Diversity (LD) and has shown significant BER performance gains and lowered the error floor (EF) region as compared to the transmission schemes with no labeling diversity [3,4]. For a LD based transmission scheme, each transmit channel is equipped with different labeling map. A systematic approach to determine the optimal labeling map pair for 16-QAM constellation to provide LD is suggested in [5,6]. The idea of user cooperation for uplink diversity was first presented in [7]. Since, then many variants of the proposed idea have been suggested in the literature. Amongst them, the most common cooperative schemes are decode and forward (DF) scheme and coded-cooperative scheme [8]. The latter is u