Highly Flexible Design of Multi-Rate Multi-Length Quasi-Cyclic LDPC Codes

Authors:

Beermann, M. ,  Wickert, F. ,  Vary, P.

Book Title:

8th International Symposium on Turbo Codes and Iterative Information Processing

Organization:

IEEE

Date:

Aug. 2014

Language:

German

Abstract

The design of Low-Density Parity-Check (LDPC) codes with fixed code rate and block length for a fixed channel condition has been well investigated and very close-to-capacity performance can be achieved by careful optimization of a code's degree distributions. The growing variety of services supported by mobile communication systems, however, constitutes the need for highly flexible Forward Error Correction (FEC) schemes. Pursuing this need, we present a design method for the construction of quasi-cyclic (QC) LDPC codes supporting arbitrarily many block lengths and code rates using only a single common mother code. Different block lengths are achieved by an optimized expansion of the mother code's lifting matrix. For the support of multiple code rates, a joint optimization of shortening and puncturing distributions as well as an optimized check matrix construction based on the progressive edge-growth algorithm is employed.

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