Low-density constructions can achieve the Wyner-Ziv and Gelfand-Pinsker bounds [article]

Emin Martinian, Martin J. Wainwright
2006 arXiv   pre-print
We describe and analyze sparse graphical code constructions for the problems of source coding with decoder side information (the Wyner-Ziv problem), and channel coding with encoder side information (the Gelfand-Pinsker problem). Our approach relies on a combination of low-density parity check (LDPC) codes and low-density generator matrix (LDGM) codes, and produces sparse constructions that are simultaneously good as both source and channel codes. In particular, we prove that under maximum
more » ... hood encoding/decoding, there exist low-density codes (i.e., with finite degrees) from our constructions that can saturate both the Wyner-Ziv and Gelfand-Pinsker bounds.
arXiv:cs/0605091v1 fatcat:bdnyeugewngprbq2rd2425vz5m