This paper provides an overview of near Shannon-limit operating codes when transmitted over the additive white Gaussian noise (AWGN) channel with erasures. We compare the performance of standardized low-density paritycheck (LDPC) codes and parallel-concatenated (turbo) codes to two progressive edge growth (PEG) optimized codes and a new design. The assumed channel, an AWGN channel with erasures, plays an important role in the field of satellite communications. The standardized codes we chose for our comparison purposes are the DVB-S2 LDPC code and a previously designed turbo code of 3GPP2. Furthermore, we use the PEG algorithm, which is improved by a novel method, to design better LDPC codes for this channel.
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