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Low-Density Lattice Codes

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3 Author(s)
Sommer, N. ; Tel-Aviv Univ., Tel-Aviv ; Feder, M. ; Shalvi, O.

Low-density lattice codes (LDLC) are novel lattice codes that can be decoded efficiently and approach the capacity of the additive white Gaussian noise (AWGN) channel. In LDLC a codeword x is generated directly at the n-dimensional Euclidean space as a linear transformation of a corresponding integer message vector b, i.e., x = Gb-1, where H = G-1 is restricted to be sparse. The fact that H is sparse is utilized to develop a linear-time iterative decoding scheme which attains, as demonstrated by simulations, good error performance within ~0.5 dB from capacity at block length of n =100,000 symbols. The paper also discusses convergence results and implementation considerations.

Published in:

Information Theory, IEEE Transactions on  (Volume:54 ,  Issue: 4 )