Energy-distortion tradeoffs in multiple-access channels with feedback

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

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

3 Scopus citations

Abstract

The energy-distortion function E(D) for the joint source-channel coding problem in networks is defined and studied. The energy-distortion function E(D) is defined as the minimum energy required to transmit a source to a 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), establishing the optimality of source-channel separation in this setting. Then, it is shown that the optimality of separation does not extend to multi-user networks. A 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 an upper bound achievable by separation. Even though the separation based scheme does not achieve the lower bound in general, its energy requirement is shown to be within a constant gap of E(D) in the low distortion regime, for which the energy requirement grows unbounded. Another upper bound using uncoded transmission based on the well-known Schalkwijk-Kailath (SK) scheme is also considered. Through simulation, it is shown that this scheme outperforms the separation based scheme in various scenarios, thus establishing the sub-optimality of separation in this model of multiple users with correlated sources.

Original languageEnglish (US)
Title of host publicationIEEE Information Theory Workshop 2010, ITW 2010
DOIs
StatePublished - Jul 27 2010
EventIEEE Information Theory Workshop 2010, ITW 2010 - Cairo, Egypt
Duration: Jan 6 2010Jan 8 2010

Publication series

NameIEEE Information Theory Workshop 2010, ITW 2010

Other

OtherIEEE Information Theory Workshop 2010, ITW 2010
CountryEgypt
CityCairo
Period1/6/101/8/10

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Theoretical Computer Science

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    Jain, A., Gündüz, D., Kulkarni, S. R., Poor, H. V., & Verdú, S. (2010). Energy-distortion tradeoffs in multiple-access channels with feedback. In IEEE Information Theory Workshop 2010, ITW 2010 [5503217] (IEEE Information Theory Workshop 2010, ITW 2010). https://doi.org/10.1109/ITWKSPS.2010.5503217