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  • Research Article
  • Open Access

Near-Capacity Coding for Discrete Multitone Systems with Impulse Noise

  • 1,
  • 2 and
  • 2
EURASIP Journal on Advances in Signal Processing20062006:098738

  • Received: 1 December 2004
  • Accepted: 9 June 2005
  • Published:


We consider the design of near-capacity-achieving error-correcting codes for a discrete multitone (DMT) system in the presence of both additive white Gaussian noise and impulse noise. Impulse noise is one of the main channel impairments for digital subscriber lines (DSL). One way to combat impulse noise is to detect the presence of the impulses and to declare an erasure when an impulse occurs. In this paper, we propose a coding system based on low-density parity-check (LDPC) codes and bit-interleaved coded modulation that is capable of taking advantage of the knowledge of erasures. We show that by carefully choosing the degree distribution of an irregular LDPC code, both the additive noise and the erasures can be handled by a single code, thus eliminating the need for an outer code. Such a system can perform close to the capacity of the channel and for the same redundancy is significantly more immune to the impulse noise than existing methods based on an outer Reed-Solomon (RS) code. The proposed method has a lower implementation complexity than the concatenated coding approach.


  • Gaussian Noise
  • Main Channel
  • White Gaussian Noise
  • Degree Distribution
  • Additive Noise


Authors’ Affiliations

Department of Electrical and Computer Engineering, University of Alberta, ECERF Building, Edmonton, AB, Canada T6G 2V4
Department of Electrica and Computer Engineering, University of Toronto, 10 King's College Road, Toronto, ON, Canada M5S 3G4


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