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Minimum distance blind phase search (BPS) algorithm has good tolerance to laser linewidth but with high computational complexity. In this letter, a novel substitution algorithm, i.e., symmetry BPS (S-BPS) is proposed for arbitrary square M-ary quadrature amplitude modulation (M-QAM) coherent optical systems. Based on the symmetry of square M-QAM, it can reduce the complexity directly by simplifying the phase error detection in the real plane and without multiplication. Taking square 4-QAM, 16-QAM, and 64-QAM as examples, the effectiveness of the proposed S-BPS algorithm is demonstrated by numerical simulations.
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Zhou et al. (2014) studied this question.
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