On the capacity of the dirty paper channel with fast fading and discrete channel states

Stefano Rini, Shlomo Shamai Shitz

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

Abstract

Interference pre-cancellation as in the 'writing onto dirty paper' channel crucially depends on the transmitter having exact knowledge of the way in which input and channel state combine to produce the channel output. The presence of even a small amount of uncertainty in such knowledge, gravely hampers the ability of the encoder to pre-code its transmissions against the channel state. This is particularly disappointing as it implies that interference pre-coding in practical systems is effective only when the channel estimates have very high precision, a condition which is generally unattainable in wireless environments. In this paper we show that state decoding, instead of state pre-cancellation, can be approximately optimal for a channel with discrete states when only partial channel knowledge is available. More specifically, we consider a variation of the 'writing onto dirty paper' channel in which a discrete-valued state sequence is multiplied by a fast fading process and derive conditions on the fading distribution for which state decoding closely approaches capacity. This channel model is a special case of the Gelf'and-Pinsker channel and our results show an instance of this problem in which state decoding is approximately optimal.

Original languageEnglish
Title of host publicationProceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages885-889
Number of pages5
ISBN (Electronic)9781509018062
DOIs
StatePublished - 10 Aug 2016
Event2016 IEEE International Symposium on Information Theory, ISIT 2016 - Barcelona, Spain
Duration: 10 Jul 201615 Jul 2016

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2016-August
ISSN (Print)2157-8095

Conference

Conference2016 IEEE International Symposium on Information Theory, ISIT 2016
CountrySpain
CityBarcelona
Period10/07/1615/07/16

Keywords

  • Carbon Copying onto Dirty Paper
  • Costa Pre-Coding
  • Gel'fand-Pinsker Problem

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