Encoding of spatially coupled LDGM codes for lossy source compression

Ahmad Golmohammadi, David G.M. Mitchell, Jorg Kliewer, Daniel J. Costello

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


It has been shown that a class of spatially coupled low-density generator-matrix (SC-LDGM) code ensembles displays distortion saturation for the lossy binary symmetric source coding problem with the belief propagation guided decimation (BPGD) algorithm, i.e., the BPGD distortion approaches the optimal expected distortion of the underlying ensemble asymptotically in code length. We investigate the distortion performance of a practical class of protograph-based SC-LDGM code ensembles and demonstrate distortion saturation numerically. Moreover, taking advantage of the convolutional structure of the SC-LDGM codes, we propose an efficient windowed encoding (WE) algorithm with two decimation techniques for lowering the WE complexity that maintain distortion performance close to the rate-distortion bound.

Original languageEnglish (US)
Article number8387763
Pages (from-to)5691-5703
Number of pages13
JournalIEEE Transactions on Communications
Issue number11
StatePublished - Nov 2018

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


  • LDGM codes
  • Lossy source coding
  • belief propagation guided decimation
  • rate distortion bound
  • spatial coupling


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