TY - JOUR
T1 - Bounds on rates of LDPC codes for BEC with varying erasure rate
AU - Barak, Ohad
AU - Erez, Uri
AU - Burshtein, David
PY - 2010/10
Y1 - 2010/10
N2 - A binary erasure channel with erasure probability which can take one of two values is considered. Transmission is done by using a low density parity-check code under the requirement that completely successful decoding is possible when the channel is in its better state, while tolerating some predetermined residual erasure fraction when the channel is in its worse state. Upper bounds on the achievable design rate under iterative decoding are derived for this setting. These bounds are compared to rates obtained by practical code profiles. It is also observed that when exceeding the capacity of the erasure channel, the performance of such codes exhibits graceful degradation as measured by the residual erasure fraction.
AB - A binary erasure channel with erasure probability which can take one of two values is considered. Transmission is done by using a low density parity-check code under the requirement that completely successful decoding is possible when the channel is in its better state, while tolerating some predetermined residual erasure fraction when the channel is in its worse state. Upper bounds on the achievable design rate under iterative decoding are derived for this setting. These bounds are compared to rates obtained by practical code profiles. It is also observed that when exceeding the capacity of the erasure channel, the performance of such codes exhibits graceful degradation as measured by the residual erasure fraction.
KW - Low density parity check (LDPC) codes
KW - binary erasure channel (BEC)
KW - iterative decoding
KW - residual erasure fraction
UR - http://www.scopus.com/inward/record.url?scp=77958101208&partnerID=8YFLogxK
U2 - 10.1109/TCOMM.2010.091710.080631
DO - 10.1109/TCOMM.2010.091710.080631
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:77958101208
SN - 0090-6778
VL - 58
SP - 2835
EP - 2844
JO - IEEE Transactions on Communications
JF - IEEE Transactions on Communications
IS - 10
M1 - 5590327
ER -