Optimisation design of systematic fountain codes on fading channels. Issue 20 (1st December 2019)

• Record Type: Journal Article
• Authors: Dai, Jingke; Chen, Xiao; Zhang, Fenggan; Kang, Kai
• Is Part Of: IET communications. Volume 13:Issue 20(2019)
• Page Start: 3369
• Page End: 3376
• Publication Date: 2019-12-01
• Subjects: linear programming -- codes -- Rician channels -- Nakagami channels -- error statistics -- fading channels -- Rayleigh channels -- AWGN channels -- channel coding; systematic fountain codes -- closed‐form bit error rates -- systematic LT codes -- systematic Raptor codes -- Gaussian approximation method -- novel optimisation model -- linear programming -- theoretical error probability -- fading channel -- optimised codes -- BER performance -- binary erasure channel -- additive white Gaussian noise channel -- unfading channel -- optimisation design -- asymptotic performance; Telecommunication systems -- Periodicals; Speech processing systems -- Periodicals; 621.38205
• DOI: 10.1049/iet-com.2019.0426
• Languages: English
• ISSNs: 1751-8628

Abstract

Abstract : The asymptotic performance and optimisation of systematic fountain codes are investigated on Rayleigh fading and Nakagami fading channels. Firstly, the closed‐form bit error rates (BER) of systematic LT (SLT) codes and systematic Raptor (SR) codes are derived based on Gaussian approximation method, the results of which are close to that obtained by discretised density evolution. Secondly, a novel optimisation model combining linear programming and theoretical error probability is proposed to design the degree distributions of SLT/SR codes on fading channels. The simulation results show that the optimised codes provide better BER performance than the codes originally designed for binary erasure channel and additive white Gaussian noise channel. Moreover, the proposed method is easily extended to Rician fading channel and unfading channel.