Low-complexity probability generation algorithm for stochastic decoding of non-binary LDPC codes

Non-binary LDPC codes offer higher performances than their binary counterpart but suffer from highest decoding complexity. A solution to reduce the decoding complexity is the use of stochastic decoding algorithm, but the computational complexity of probability generation in the first step is very high. In this paper, we propose a simple method to fast generate the probability especially in high-order modulation schemes. Simulation results show that the proposed algorithm causes negligible performance degradation with reduction in computational complexity for stochastic decoding of non-binary LDPC codes, which gives some advantages in hardware implementation of the decoders.