A Low-Complexity LDPC Coding Scheme for Channels With Phase Slips

We propose low-complexity coding schemes that are resilient against sporadic phase slip events. These schemes are based on a new phase-slip transparent construction of LDPC codes, called block symmetric codes and on outer differential coding. The slip transparent LDPC codes correct single bit error events but are transparent to phase slips. The phase slips, which correspond to runs of bit errors, are corrected by the outer coding part of the receiver. We present practical binary and nonbinary code constructions for multiple modulation formats, and evaluate the proposed scheme by means of simulation examples.