Energy-distortion tradeoff with multiple sources and feedback

Aman Jain, Deniz Gündüz, Sanjeev R. Kulkarni, H. Vincent Poor, Sergio Verdú

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The energy-distortion tradeoff for lossy transmission of sources over multi-user networks is studied. The energy-distortion function E(D) is defined as the minimum energy required to transmit a source to the receiver within the target distortion D, when there is no restriction on the number of channel uses per source sample. For point-to-point channels, E(D) is shown to be equal to the product of the minimum energy per bit Ebmin and the rate-distortion function R(D), indicating the optimality of source-channel separation in this setting. It is shown that the optimal E(D) can also be achieved by the Schalkwijk-Kailath (SK) scheme, as well as separate coding, in the presence of perfect channel output feedback. Then, it is shown that the optimality of separation in terms of E(D) does not extend to multi-user networks. The scenario with two encoders observing correlated Gaussian sources in which the encoders communicate to the receiver over a Gaussian multiple-access channel (MAC) with perfect channel output feedback is studied. First a lower bound on E(D) is provided and compared against two upper bounds achievable by separation and an uncoded SK type scheme, respectively. Even though neither of these achievable schemes meets the lower bound in general, it is shown that their energy requirements lie within a constant gap of E(D) in the low distortion regime, for which the energy requirement grows unbounded. It is shown that the SK based scheme outperforms the separation based scheme in certain scenarios, which establishes the sub-optimality of separation in this multi-user setting.

Original languageEnglish (US)
Title of host publication2010 Information Theory and Applications Workshop, ITA 2010 - Conference Proceedings
Pages142-146
Number of pages5
DOIs
StatePublished - May 31 2010
Event2010 Information Theory and Applications Workshop, ITA 2010 - San Diego, CA, United States
Duration: Jan 31 2010Feb 5 2010

Publication series

Name2010 Information Theory and Applications Workshop, ITA 2010 - Conference Proceedings

Other

Other2010 Information Theory and Applications Workshop, ITA 2010
CountryUnited States
CitySan Diego, CA
Period1/31/102/5/10

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Information Systems

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    Jain, A., Gündüz, D., Kulkarni, S. R., Poor, H. V., & Verdú, S. (2010). Energy-distortion tradeoff with multiple sources and feedback. In 2010 Information Theory and Applications Workshop, ITA 2010 - Conference Proceedings (pp. 142-146). [5454131] (2010 Information Theory and Applications Workshop, ITA 2010 - Conference Proceedings). https://doi.org/10.1109/ITA.2010.5454131