A low-density generator matrix interpretation of parallel concatenated single bit parity codes

A coding scheme that concatenates, in parallel, multiple single bit parity check block codes is considered for use in high areal density magnetic recording. The coding scheme can be viewed as a low-density generator matrix and decoded as a low-density parity check code. Results are obtained using a Lorentzian channel model with and without transition noise that is modeled as first order position jitter. Results show SNR gains over uncoded EPR4 are nearly identical to those using low-density parity-check codes. Having demonstrated similar performance, the practical advantage of decreased encoding complexity and increased decoder architecture flexibility is emphasized.