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The construction of QC-LDPC codes relies on an [m.sub.b] x [n.sub.b] matrix [H.sub.b] sometimes called the base matrix which comprises cyclically right-shifted identity and zero submatrices both of size z x z, where, z [member of] [Z.sup.+], 0 [less than or equal to] [i.sub.b] [less than or equal to] ([m.sub.b] - 1) and 0 [less than or equal to] [j.sub.b] [less than or equal to] ([n.sub.b] - 1), the shift value,
Owing to the structure of QC-LDPC codes, the choice of [absolute value of [L.sub.u]] (and hence I) becomes much obvious.
In the QC-LDPC code in our case study, [absolute value of [V.sub.u]] = 7 for all layers except layers [L.sub.7] and [L.sub.12] where it is 8.
Table 6 shows one such rearrangement of [[beta].sub.I] (Table 4) for the QC-LDPC code for our case study.
Since the elements of proposed parity-check matrix are 0 or 1 only and are computed by simple additions and shifts, QC-LDPC encoder is suitable for the hard implementation.
Finally, the BEP is merged to the DSC strategy based on QC-LDPC by deep coupling way to remove the residual redundancy between the adjacent bands.
In addition, we use the QC-LDPC code to implement the SW encoder.
Since the elements of proposed parity-check matrix are 0 or 1 only and can be computed by simple additions and shifts, QC-LDPC encoder is suitable for the hard implementation.
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