A comparison study of LDPC decoding using accelerated ADMM and over-relaxed ADMM
Xiaopeng Jiao, Jianjun Mu, Junjun Guo · 2016
The alternating direction method of multipliers (ADMM) with over-relaxation and the accelerated ADMM are two effective methods to improve the convergence rate of ADMM. In this paper, an efficient linear programming (LP) decoder based on accelerated ADMM for low-density parity-check (LDPC) codes is proposed. Then it is shown that the ADMM update steps for decoding LDPC codes using the accelerated ADMM and the over-relaxed ADMM are quite similar. Therefore, it is impossible to obtain a more efficient ADMM decoder by combining the two improved ADMM methods. Simulation results also validate that the average number of iterations for LDPC decoding using the accelerated ADMM and the over-relaxed ADMM are close to each other.