Rate-compatible puncturing of low-density parity-check codes

Authors:
Jeongseok Ha;Jaehong Kim;S. W. McLaughlin
Affiliations:
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA;-;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

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Abstract

In this correspondence, we consider puncturing of low-density parity-check (LDPC) codes for additive white Gaussian noise (AWGN) channels. We show that good puncturing patterns exist and that the puncturing can be performed in a rate-compatible fashion. Furthermore, rate-compatible puncturing results in a small loss of performance with respect to threshold, namely, the punctured code is good (in terms of threshold) across a range of rates when compared with the optimal codes for each rate. This allows one to implement a single "mother" encoder and decoder that is good across a wide range of rates.