We investigate the performance and complexity of minimum mean square error (MMSE) and alternating direction method of multipliers based infinity-norm (ADMIN) for mode dependent loss (MDL) impaired mode division multiplexing (MDM) systems. Our result shows the performance of ADMIN is better than that of MMSE in medium and small MDL. In QPSK modulation mode, the computational complexity of ADMIN detection algorithm is lower than that of MMSE. In addition, we studied how to continue to improve the performance of the ADMIN detection algorithm. We found that the increase of the β parameter will significantly improve the performance of ADMIN in the MDL communication system without increasing the computational complexity. When theβ parameter is increased by 20 times, the BER performance changes from 10-4 to 10-5, which is an order of magnitude improvement.
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