Decode and forward polar coding for Half-duplex two-relay channels based on multilevel construction. Issue 4 (3rd April 2017)

• Record Type: Journal Article
• Authors: Soliman, Tamer; Yang, Fengfan; Ejaz, Saqib
• Is Part Of: International journal of electronics. Volume 104:Issue 4(2017)
• Page Start: 539
• Page End: 554
• Publication Date: 2017-04-03
• Subjects: Half duplex -- partial perfect -- Plotkin's construction -- multilevel polarisation matrix -- polar codes -- Two-relay channels; Electronics -- Periodicals; Electronic control -- Periodicals; 621.381
• DOI: 10.1080/00207217.2016.1218068
• Languages: English
• ISSNs: 0020-7217

Abstract

ABSTRACT: Polar codes represent an emerging class of error-correcting codes with power to approach the capacity of the physically degraded relay channel and relevant coding schemes have been proposed in the literature. This paper aims to design new cooperative decode-and-forward (DF) polar coding schemes for half-duplex two-relay channel based on the Plotkin's construction illustrating their performances gain. In these schemes, we consider the use of time-division process in transmission. The source node transmits its polar-coded information to both relays and the destination nodes during the first time slot. Each relay node receives the data from the source and processes it using the DF protocol. For the second transmission period, each relay first decodes the source signal then after reconstruction of the information reduction matrix based on the multilevel characteristics of polar codes, the extracted data at each relay are recoded using another polar code and transmitted to the destination. At destination node, the signals received from each relay and source nodes are processed by using multi-joint successive cancellation decoding for retrieving the original information bits. We demonstrate via simulation results that by carefully constructed polarisation matrix at each relay node, we can achieve the theoretical capacity in the half-duplex relay channel.