TR2015-038

LDPC-Coded 16-Dimensional Modulation Based on the Nordstrom-Robinson Nonlinear Block Code


    •  Koike-Akino, T.; Millar, D.S.; Kojima, K.; Parsons, K.; Sugihara, K.; Miyata, Y.; Yoshida, T., "LDPC-Coded 16-Dimensional Modulation Based on the Nordstrom-Robinson Nonlinear Block Code", Conference on Lasers and Electro-Optics (CLEO), DOI: 10.1364/CLEO_AT.2015.JTh2A.59, ISBN: 978-1-55752-968-8, May 2015, pp. 1-2.
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      • @inproceedings{Koike-Akino2015may1,
      • author = {Koike-Akino, T. and Millar, D.S. and Kojima, K. and Parsons, K. and Sugihara, K. and Miyata, Y. and Yoshida, T.},
      • title = {LDPC-Coded 16-Dimensional Modulation Based on the Nordstrom-Robinson Nonlinear Block Code},
      • booktitle = {Conference on Lasers and Electro-Optics (CLEO)},
      • year = 2015,
      • pages = {1--2},
      • month = may,
      • publisher = {IEEE},
      • doi = {10.1364/CLEO_AT.2015.JTh2A.59},
      • isbn = {978-1-55752-968-8},
      • url = {http://www.merl.com/publications/TR2015-038}
      • }
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  • Research Areas:

    Communications, Signal Processing


Recent forward error correction (FEC) codes based on low-density parity-check (LDPC) codes have shown capacity-achieving performance in practice. To support various modulation formats in conjunction with LDPC codes, bit-interleaved coded modulation (BICM) has been widely used. To achieve better performance, BICM iterative demodulation (BICM-ID), multi-layer coding (MLC), and nonbinary-interleaved coded modulation (NBICM) have been studied for high-order modulation and high-dimensional modulation (HDM). In particular, HDM has received much interest because of its high sensitivity. In this paper, we propose a new 16-dimensional (16D) modulation based on the Nordstrom-Robinson (NR) nonlinear code. The NR code is an optimal binary code, whose minimum Hamming distance is 6, whereas the best-known linear code (BKLC) has a minimum distance of 5. We optimize LDPC codes for BICM-ID with various HDM formats, and show the benefit of the NR-coded 16D modulation.