Projective-plane iteratively decodable block codes for WDM high-speed long-haul transmission systems

Ivan B Djordjevic, Sundararajan Sankaranarayanan, Bane V Vasic

Research output: Contribution to journalArticle

54 Citations (Scopus)

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 interference. This approach gives a much better estimate of the code's performance than the commonly used additive white Gaussian noise channel model.

Original languageEnglish (US)
Pages (from-to)695-702
Number of pages8
JournalJournal of Lightwave Technology
Volume22
Issue number3
DOIs
StatePublished - Mar 2004

Fingerprint

Block codes
Wavelength division multiplexing
high speed
Bit error rate
decoders
Chromatic dispersion
Intersymbol interference
Spontaneous emission
Error correction
Optical communication
Light transmission
Crosstalk
Fiber optic networks
parity
coding
Decoding
bit error rate
Geometry
Fibers
impairment

Keywords

  • Finite geometries codes
  • Forward-error correction (FEC)
  • Low-density parity-check (LDPC) codes
  • Optical communications

ASJC Scopus subject areas

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

Cite this

Projective-plane iteratively decodable block codes for WDM high-speed long-haul transmission systems. / Djordjevic, Ivan B; Sankaranarayanan, Sundararajan; Vasic, Bane V.

In: Journal of Lightwave Technology, Vol. 22, No. 3, 03.2004, p. 695-702.

Research output: Contribution to journalArticle

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