Adaptive Compute-and-Forward with Lattice Codes Over Algebraic Integers

Yu-Chih Huang*, Krishna R. Narayanan, Ping-Chung Wang

*Corresponding author for this work

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

4 Scopus citations

Abstract

We consider the compute-and-forward relay network with limited feedback. A novel scheme called adaptive compute-and-forward is proposed to exploit the channel knowledge by working with the best ring of imaginary quadratic integers. This is enabled by generalizing Construction A lattices to other rings of imaginary quadratic integers which may not form principal ideal domains and by showing such construction can produce good lattices for coding in the sense of Poltyrev and for MSE quantization. Since there are channel coefficients (complex numbers) which are closer to elements of rings of imaginary quadratic integers other than Gaussian and Eisenstein integers, by always working with the best ring among them, we can obtain better performance than that provided by working over Gaussian or Eisenstein integers.

Original languageEnglish
Title of host publication2015 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
PublisherIEEE
Pages566-570
Number of pages5
StatePublished - 2015
EventIEEE International Symposium on Information Theory (ISIT) - Hong Kong, Hong Kong
Duration: 14 Jun 201519 Jun 2015

Publication series

NameIEEE International Symposium on Information Theory
PublisherIEEE

Conference

ConferenceIEEE International Symposium on Information Theory (ISIT)
CountryHong Kong
CityHong Kong
Period14/06/1519/06/15

Keywords

  • Compute-and-forward
  • physical-layer network
  • coding
  • lattice codes

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