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In this paper, the application of non-binary low-density parity-check(NBLDPC) codes to MIMO systems which employ hundreds of antennas at both thetransmitter and the receiver has been proposed. Together with the well-knownlow-complexity MMSE detection, the moderate length NBLDPC codes can operatecloser to the MIMO capacity, e.g., capacity-gap about 3.5 dB (the best knowngap is more than 7 dB). To further reduce the complexity of MMSE detection, anovel soft output detection that can provide an excellent coded performance inlow SNR region with 99% complexity reduction is also proposed. The asymptoticperformance is analysed by using the Monte Carlo density evolution. It is foundthat the NBLDPC codes can operate within 1.6 dB from the MIMO capacity.Furthermore, the merit of using the NBLDPC codes in large MIMO systems with thepresence of imperfect channel estimation and spatial fading correlation whichare both the realistic scenarios for large MIMO systems is also pointed out.

Approaching the Capacity of Large-Scale MIMO Systems via Non-Binary LDPC Codes