Joint Wyner-Ziv/dirty-paper coding by modulo-lattice modulation

Yuval Kochman*, Ram Zamir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


The combination of source coding with decoder side information (the Wyner-Ziv problem) and channel coding with encoder side information (the Gel'fand-Pinsker problem) can be optimally solved using the separation principle. In this work, we show an alternative scheme for the quadratic-Gaussian case, which merges source and channel coding. This scheme achieves the optimal performance by applying a modulo-lattice modulation to the analog source. Thus, it saves the complexity of quantization and channel decoding, and remains with the task of "shaping" only. Furthermore, for high signal-to-noise ratio (SNR), the scheme approaches the optimal performance using an SNR-independent encoder, thus it proves for this special case the feasibility of universal joint source-channel coding.

Original languageAmerican English
Pages (from-to)4878-4889
Number of pages12
JournalIEEE Transactions on Information Theory
Issue number11
StatePublished - 2009
Externally publishedYes

Bibliographical note

Funding Information:
Manuscript received January 21, 2008; revised December 12, 2008. Current version published October 21, 2009. This work was supported by the Israeli Science Foundation (ISF) under Grant 1259/07, and by the Advanced Communication Center (ACC). The work of the first author was also supported by a fellowship of the Yitzhak and Chaya Weinstein Research Institute for Signal Processing at Tel-Aviv University. The material in this paper was presented in part at the IEEE International Symposium on Information Theory (ISIT), Seattle, WA, July 2006.


  • Analog transmission
  • Broadcast channel
  • Joint source/channel coding
  • Minimum mean-squared error (MMSE) estimation
  • Modulo lattice modulation
  • Unknown signal-to-noise ratio (SNR)
  • Writing on dirty paper
  • Wyner-Ziv (WZ) problem


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