A Low Complexity Decoding Algorithm for NB-LDPC Codes over Quadratic Extension Fields

Wijekoon, V. B.; Viterbo, Emanuele; Hong, Yi

doi:10.1109/isit44484.2020.9174489

Cited by 2 publications

(1 citation statement)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…12 shows the number of addition and multiplication operations needed for GF(4) and GF(8)-LDPC CND respectively. If more advanced non-binary LDPC decoding algorithm is employed [42]- [46], the decoding complexity of GF(8)-LDPC can be further reduced but is out of the scope of this work.…”

Section: A Ber Simulation Resultsmentioning

confidence: 99%

Optimization of Non-Binary LDPC Coded Massive MIMO Systems With Partial Mapping and REP Detection

Liu

Feng

et al. 2022

IEEE Access

View full text Add to dashboard Cite

In this work, a non-binary low density parity check (LDPC) coded high dimensional multiple input multiple output (MIMO) scheme with partial mapping for high order modulation is proposed. For the proposed scheme, when M -ary quadrature amplitude modulation (QAM) is employed, then nonbinary LDPC code constructed over Galois field with order √ M is used for partial mapping, where √ M is an integer. At the receiver side, a real-valued expectation propagation (REP) based detection algorithm is used to couple with the non-binary decoder seamlessly. Meanwhile, the symbol-wise a-priori information returned by the non-binary decoder is used to aid the REP detection. Furthermore, a symbolwise extrinsic information transfer (SEXIT) chart based iterative optimization algorithm is used to optimize the concatenated non-binary LDPC code. This work proposed to model the a-priori information of nonzero codes/symbols of detector/decoder as the output of a cyclic-symmetric additive white Gaussian noise (AWGN) channel and a simplified method based on interpolation is proposed to calculate the component-EXIT chart of the REP-detector for massive MIMO. The proposed method can facilitate the optimization and avoid a large amount of simulations. Both SEXIT chart based analysis and numerical simulation results demonstrate the validity of the above idea.

show abstract

Section: A Ber Simulation Resultsmentioning

confidence: 99%