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This paper proposes a non-uniform quantization algorithm of soft information based on density evolution for the decoding of low-density parity check (LDPC) codes, which applies a non-linear transform function to soft information, and provides good block error rate performance. The transform function is obtained by minimizing weighted mean square quantization error for every combination of modulation type and LDPC codes and has an analytical expression of distribution of soft information. It can be realized as look-up table via quantization of transform function and has low complexity of implementation. Simulation results show that the error performance of proposed algorithm is close to no quantization condition and has a gain of around 0.3 dB compared to uniform quantization algorithm for 5G’s rate 2/3 LDPC codes with APSK modulation over additive white Gaussian noise (AWGN) channel.

Non-uniform Quantization of Soft Information for 5G LDPC Codes