Average Coset Weight Distribution of Multi-Edge Type LDPC Code Ensembles

  • Authors:

  • Kenta Kasai;Yuji Shimoyama;Tomoharu Shibuya;Kohichi Sakaniwa

  • Affiliations:

  • The authors are with the Dept. of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, 152-8552 Japan. E-mail: kenta@comm.ss.titech.ac.jp, E-mail: sakaniwa@comm.ss.titech.a ...;The author is with Mobile Radio Access Network Division, NEC Corporation, Tokyo, 108-8001 Japan. E-mail: y-simoyama@ax.jp.nec.com,;The author is with the R&D Department, National Institute of Multimedia Education (NIME), Chiba-shi, 261-0014 Japan. E-mail: tshibuya@nime.ac.jp;The authors are with the Dept. of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, 152-8552 Japan. E-mail: kenta@comm.ss.titech.ac.jp, E-mail: sakaniwa@comm.ss.titech.a ...

  • Venue:
  • IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
  • Year:
  • 2006

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Abstract

Multi-Edge type Low-Density Parity-Check codes (MET-LDPC codes) introduced by Richardson and Urbanke are generalized LDPC codes which can be seen as LDPC codes obtained by concatenating several standard (ir)regular LDPC codes. We prove in this paper that MET-LDPC code ensembles possess a certain symmetry with respect to their Average Coset Weight Distributions (ACWD). Using this symmetry, we drive ACWD of MET-LDPC code ensembles from ACWD of their constituent ensembles.