Open AccessOptimisation design of systematic fountain codes on fading channels
Author(s) -
Dai Jingke,
Chen Xiao,
Zhang Fenggan,
Kang Kai
Publication year - 2019
Publication title -
iet communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.355
H-Index - 62
eISSN - 1751-8636
pISSN - 1751-8628
DOI - 10.1049/iet-com.2019.0426
Subject(s) - fading , rician fading , fountain code , binary erasure channel , additive white gaussian noise , algorithm , computer science , rayleigh fading , bit error rate , channel (broadcasting) , fading distribution , mathematics , block code , telecommunications , decoding methods , concatenated error correction code , channel capacity
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.