The impact of phase fading on the dirty paper coding channel

Stefano Rini, Shlomo Shamai

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations

Abstract

The impact of phase fading and side information on the classic Costa's dirty paper coding channel is studied. A variation of this model is considered in which the channel state is affected by a phase fading sequence which is known at the receiver but not at the transmitter. Although the capacity of this channel has been established, it is expressed as the solution of the maximization which cannot be easily determined. To circumvent such difficulty, we derive alternative inner and outer bounds to capacity and determine a regime in which the two expressions are to within a finite distance. We consider two distributions of the phase fading process: circular binomial and circular uniform. For circular binomial fading we show that binning with Gaussian signaling approaches capacity, as in the channel without phase fading. When fading is circular uniform, instead, binning with Gaussian signaling is no longer effective and novel interference avoidance strategies are developed for this case.

Original languageEnglish
Title of host publication2014 IEEE International Symposium on Information Theory, ISIT 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2287-2291
Number of pages5
ISBN (Print)9781479951864
DOIs
StatePublished - 1 Jan 2014
Event2014 IEEE International Symposium on Information Theory, ISIT 2014 - Honolulu, HI, United States
Duration: 29 Jun 20144 Jul 2014

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095

Conference

Conference2014 IEEE International Symposium on Information Theory, ISIT 2014
CountryUnited States
CityHonolulu, HI
Period29/06/144/07/14

Keywords

  • Channel with state
  • Gel'fand-Pinsker problem
  • Imperfect channel side information
  • Phase fading
  • Writing on fading dirt

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