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Lossy Compression with Near-uniform Encoder Outputs

Information Theory 2016-07-12 v2 math.IT

Abstract

It is well known that lossless compression of a discrete memoryless source with near-uniform encoder output is possible at a rate above its entropy if and only if the encoder is randomized. This work focuses on deriving conditions for near-uniform encoder output(s) in the Wyner-Ziv and the distributed lossy compression problems. We show that in the Wyner-Ziv problem, near-uniform encoder output and operation close to the WZ-rate limit is simultaneously possible, whereas in the distributed lossy compression problem, jointly near-uniform outputs is achievable in the interior of the distributed lossy compression rate region if the sources share non-trivial G\'{a}cs-K\"{o}rner common information.

Keywords

Cite

@article{arxiv.1602.06902,
  title  = {Lossy Compression with Near-uniform Encoder Outputs},
  author = {Badri N Vellambi and Joerg Kliewer and Matthieu Bloch},
  journal= {arXiv preprint arXiv:1602.06902},
  year   = {2016}
}

Comments

Submitted to the 2016 IEEE International Symposium on Information Theory (11 Pages, 3 Figures)

R2 v1 2026-06-22T12:55:21.951Z