Design of distributed collaborative space-time block codes for two-way relaying networks

• Published in: IET communications Vol. 7; no. 13; pp. 1367 - 1376
• Main Authors: Gong, Fengkui, Zhang, Jian-Kang, Wang, Hui, Ge, Jianhua
• Format: Journal Article
• Language: English
• Published: Stevenage The Institution of Engineering and Technology 01.09.2013; John Wiley & Sons, Inc
• Subjects: amplify and forward communication; asymptotic pairwise error probability; Asymptotic properties; average block error rate; Block codes; Channels; Constellations; Detectors; distributed collaborative Alamouti space‐time block code design; error statistics; fixed transmission bit rate; fixed‐gain AF; linear codes; linear‐decoding complexity; maximum likelihood detection; maximum‐likelihood detector; Networks; newly‐designed code; optimal constellation; Optimization; Rayleigh channels; recently‐developed unique factorisation; Relaying; space‐time block codes; two‐way amplify‐and‐forward relaying network; two‐way relaying networks; unity average transmission energy; variable‐gain AF; maximum likelihood detection; optimal constellation; linear codes; linear-decoding complexity; Rayleigh channels; distributed collaborative Alamouti space-time block code design; maximum-likelihood detector; two-way amplify-and-forward relaying network; amplify and forward communication; average block error rate; asymptotic pairwise error probability; two-way relaying networks; recently-developed unique factorisation; space-time block codes; variable-gain AF; newly-designed code; fixed-gain AF; unity average transmission energy; error statistics; fixed transmission bit rate
• ISSN: 1751-8628; 1751-8636
• DOI: 10.1049/iet-com.2012.0782

Utilising the recently-developed unique factorisation of signals and distributed Alamouti coding, a distributed collaborative space-time block code design is presented for a two-way amplify-and-forward (AF) relaying network, where all nodes are equipped with a single antenna. Two asymptotic pairwise error probability (PEP) formulae are firstly derived for both fixed-gain AF and variable-gain AF over Rayleigh channels with the maximum-likelihood detector. Then, subject to the constraints on a fixed transmission bit rate and unity average transmission energy, the optimal constellation combinations with the optimal coefficients are attained by minimising the dominant term of PEP. It is shown that the PEP and the average block error rate of the newly-designed code are superior to those of the conventional distributed Alamouti code while the prior still has linear-decoding complexity.