Title :
The rate of regular LDPC codes
Author :
Miller, Gadi ; Cohen, Gérard
Author_Institution :
Ecole Nat. Superieure des Telecommun., Paris, France
Abstract :
We find the rate of a typical code from the regular low-density parity-check (LDPC) ensemble. We then show that the rate of a code from the ensemble converges to the design rate in quadratic mean and almost surely.
Keywords :
convergence; parity check codes; convergence; low-density parity-check ensemble; quadratic mean; regular LDPC codes; typical code rate; Block codes; Capacity planning; Channel capacity; Error probability; Maximum likelihood decoding; Parity check codes; Seminars; Sockets; Upper bound; Wireless communication;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2003.818403
