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Journal of Lightwave Technology

Journal of Lightwave Technology

| A JOINT IEEE/OSA PUBLICATION

  • Vol. 22, Iss. 3 — Mar. 1, 2004
  • pp: 695–

Projective-Plane Iteratively Decodable Block Codes for WDM High-Speed Long-Haul Transmission Systems

Ivan B. Djordjevic, Sundararajan Sankaranarayanan, and Bane V. Vasic

Journal of Lightwave Technology, Vol. 22, Issue 3, pp. 695- (2004)


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Abstract

Low-density parity-check (LDPC) codes are excellent candidates for optical network applications due to their inherent low complexity of both encoders and decoders. A cyclic or quasi-cyclic form of finite geometry LDPC codes simplifies the encoding procedure. In addition, the complexity of an iterative decoder for such codes, namely the min-sum algorithm, is lower than the complexity of a turbo or Reed-Solomon decoder. In fact, simple hard-decoding algorithms such as the bit-flipping algorithm perform very well on codes from projective planes. In this paper, the authors consider LDPC codes from affine planes,projective planes, oval designs, and unitals. The bit-error-rate (BER) performance of these codes is significantly better than that of any other known foward-error correction techniques for optical communications. A coding gain of 9-10 dB at a BER of 10^-9, depending on the code rate, demonstrated here is the best result reported so far. In order to assess the performance of the proposed coding schemes, a very realistic simulation model is used that takes into account in a natural way all major impairments in long-haul optical transmission such as amplified spontaneous emission noise,pulse distortion due to fiber nonlinearities, chromatic dispersion, crosstalk effects, and intersymbol interferencec. This approach gives a much better estimate of the code's performance than the commonly used additive white Gaussian noise channel model.

© 2004 IEEE

Citation
Ivan B. Djordjevic, Sundararajan Sankaranarayanan, and Bane V. Vasic, "Projective-Plane Iteratively Decodable Block Codes for WDM High-Speed Long-Haul Transmission Systems," J. Lightwave Technol. 22, 695- (2004)
http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-22-3-695

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