On the capacity of the carbon copying onto dirty paper channel

Stefano Rini, Shlomo Shamai Shitz

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

2 Scopus citations

Abstract

Costa's 'writing on dirty paper' capacity result establishes that full state pre-cancellation can be attained in the Gel'fand-Pinsker channel with additive state and additive Gaussian noise. The 'carbon copy onto dirty paper' channel is the extension of Costa's model to the compound setting: here a common message is to be decoded at M receivers, each observing the sum of the channel input, Gaussian noise and one of M possible state sequences. As in the Gel'fand-Pinsker channel, the state sequences are anti-causally known at the encoder, which can thus pre-code its transmissions so as to minimize the adverse effects of the channel states. In this paper we derive the capacity to within 2.25 bits-per-channel-use of the M-user 'carbon copying onto dirty paper' channel in which the state sequences are Gaussian distributed with the same variance and the same pairwise correlation.

Original languageEnglish
Title of host publication2016 IEEE International Conference on the Science of Electrical Engineering, ICSEE 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509021529
DOIs
StatePublished - 4 Jan 2017
Event2016 IEEE International Conference on the Science of Electrical Engineering, ICSEE 2016 - Eilat, Israel
Duration: 16 Nov 201618 Nov 2016

Publication series

Name2016 IEEE International Conference on the Science of Electrical Engineering, ICSEE 2016

Conference

Conference2016 IEEE International Conference on the Science of Electrical Engineering, ICSEE 2016
CountryIsrael
CityEilat
Period16/11/1618/11/16

Keywords

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

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    Rini, S., & Shitz, S. S. (2017). On the capacity of the carbon copying onto dirty paper channel. In 2016 IEEE International Conference on the Science of Electrical Engineering, ICSEE 2016 [7806149] (2016 IEEE International Conference on the Science of Electrical Engineering, ICSEE 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICSEE.2016.7806149