On Error Exponents of Modulo Lattice Additive Noise Channels Academic Article uri icon


  • Modulo lattice additive noise (MLAN) channels appear in the analysis of structured binning codes for Costa's dirty-paper channel and of nested lattice codes for the additive white Gaussian noise (AWGN) channel. In this paper, we derive a new lower bound on the error exponents of the MLAN channel. With a proper choice of the shaping lattice and the scaling parameter, the new lower bound coincides with the random-coding lower bound on the error exponents of the AWGN channel at the same signal-to-noise ratio (SNR) in the sphere-packing and straight-line regions. This result implies that, at least for rates close to channel capacity, 1) writing on dirty paper is as reliable as writing on clean paper; and 2) lattice encoding and decoding suffer no loss of error exponents relative to the optimal codes (with maximum-likelihood decoding) for the AWGN channel. 2006 IEEE.

published proceedings

  • IEEE Transactions on Information Theory

author list (cited authors)

  • Liu, T., Moulin, P., & Koetter, R.

citation count

  • 26

complete list of authors

  • Liu, Tie||Moulin, Pierre||Koetter, Ralf

publication date

  • January 2006