English

Two-terminal source coding with common sum reconstruction

Information Theory 2022-09-26 v2 Machine Learning math.IT

Abstract

We present the problem of two-terminal source coding with Common Sum Reconstruction (CSR). Consider two terminals, each with access to one of two correlated sources. Both terminals want to reconstruct the sum of the two sources under some average distortion constraint, and the reconstructions at two terminals must be identical with high probability. In this paper, we develop inner and outer bounds to the achievable rate distortion region of the CSR problem for a doubly symmetric binary source. We employ existing achievability results for Steinberg's common reconstruction and Wyner-Ziv's source coding with side information problems, and an achievability result for the lossy version of Korner-Marton's modulo-two sum computation problem.

Keywords

Cite

@article{arxiv.2206.06973,
  title  = {Two-terminal source coding with common sum reconstruction},
  author = {Tharindu Adikari and Stark Draper},
  journal= {arXiv preprint arXiv:2206.06973},
  year   = {2022}
}

Comments

This paper was presented at the IEEE International Symposium on Information Theory (ISIT), Helsinki, Finland, June 2022