Title :
Upper Bound on Error Exponent of Regular LDPC Codes Transmitted Over the BEC
Author :
Goldenberg, Idan ; Burshtein, David
Author_Institution :
Sch. of Electr. Eng., Tel-Aviv Univ., Tel Aviv
fDate :
6/1/2009 12:00:00 AM
Abstract :
The error performance of the ensemble of typical low-definition parity-check (LDPC ) codes transmitted over the binary erasure channel (BEC) is analyzed. In the past, lower bounds on the error exponents were derived. In this paper, a probabilistic upper bound on this error exponent is derived. This bound holds with some confidence level.
Keywords :
binary codes; channel coding; error statistics; parity check codes; telecommunication channels; binary erasure channel; error exponent; low-definition parity-check code; lower bound; probabilistic upper bound; Block codes; Entropy; Iterative decoding; Maximum likelihood decoding; Parity check codes; Performance analysis; Polynomials; Turbo codes; Upper bound; Binary erasure channel (BEC); block codes; error exponent; expurgated ensemble; iterative decoding; low-density parity-check (LDPC) codes; stopping sets;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2009.2018344
