Title :
The ML decoding performance of LDPC ensembles over Zq
Author :
Erez, Uri ; Miller, Gadi
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Massachusetts Inst. of Technol., Cambridge, MA, USA
fDate :
5/1/2005 12:00:00 AM
Abstract :
We derive the asymptotic spectra of low-density parity-check (LDPC) ensembles over Zq. We consider two ensembles of LDPC matrices, one is binary and the other q-ary. We also show that for modulo-additive noise channels, both ensembles achieve the random coding error exponent, for graphs with sufficiently large connectivity.
Keywords :
AWGN channels; binary codes; channel coding; maximum likelihood decoding; parity check codes; random codes; AWGN channel; LDPC; additive white Gaussian noise; asymptotic spectra; low-density parity-check; maximum-likelihood decoding; modulo-additive noise channels; random coding error exponent; AWGN; Additive white noise; Binary codes; Error analysis; Gaussian noise; Maximum likelihood decoding; Maximum likelihood estimation; Modulation coding; Parity check codes; Performance analysis; Additive white Gaussian noise (AWGN) channel; arbitrary alphabet size; code spectrum; low-density parity-check (LDPC) codes; maximum-likelihood (ML) decoding; modulo-additive noise channels;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.846431
