Affine geometry low-density parity check codes in long-haul optical communications

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In this paper we investigate the performance of low-density parity-check (LDPC) codes in long haul optical communication systems. We are particularly concerned with high-rate codes on affine geometries. These codes have large minimum distance and simple iterative decoding algorithm, which makes them good candidates for high-speed applications such as optical communications. We consider both the bit-flipping iterative decoding and iterative decoding based on min-sum algorithm. We demonstrate a significant performance improvement with respect to the state-of-the-art error control schemes employed in long-haul systems for different signal formats (NRZ, RZ, CRZ). Contrary to the common practice of considering the error controlling schemes using the AWGN channel assumption, we consider the performance of the proposed LDPC schemes taking into account in a natural way all major impairments in a long-haul optical transmission such as ASE noise, pulse distortion due to fiber nonlinearities, chromatic dispersion or polarization dispersion, crosstalk effects, intersymbol-interference, etc.

Original languageEnglish (US)
Pages (from-to)50-53
Number of pages4
JournalJournal of Optical Communications
Issue number2
StatePublished - Apr 2003

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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