Skip to main content

Nonanticipative Duality of Sources and Channels with Memory and Feedback

  • Chapter
  • First Online:

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 456))

Abstract

Building on the material of previous chapters, a duality of sources and channels, both with memory and feedback is investigated, based on nonanticipative transmission, with respect to excess distortion probability. The methodology is based on (i) identifying the information structures of capacity achieving channel distributions, and encoder functions and (ii) identifying the information structures of optimal reproduction distributions of the nonanticipative rate–distortion function (RDF). An example is presented of a source with memory and a channel with memory, operating optimally, in real-time.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Charalambous CD, Stavrou PA, Ahmed NU (2014) Nonanticipative rate distortion function and relations to filtering theory. IEEE Trans Autom Control 59(4):937–952

    Article  MathSciNet  Google Scholar 

  2. Kourtellaris CK (2014) Nonanticipative information theory, Ph. D thesis, University of Cyprus, June 2014.

    Google Scholar 

  3. Glyn P, Ormoneit WD (2002) Hoeffding\({\hat{\text{ a }}}\)s inequality for uniform ergodic Markov chains. Stat Probab Lett 56:143–146

    Article  Google Scholar 

  4. Gastpar M, Rimoldi B, Vetterli M (2003) To code or not to code: lossy source-channel communication revisited. IEEE Trans Info Theor 49(5):1147–1158

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christos K. Kourtellaris .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Kourtellaris, C.K., Charalambous, C.D., Stavrou, P.A. (2015). Nonanticipative Duality of Sources and Channels with Memory and Feedback. In: van Schuppen, J., Villa, T. (eds) Coordination Control of Distributed Systems. Lecture Notes in Control and Information Sciences, vol 456. Springer, Cham. https://doi.org/10.1007/978-3-319-10407-2_38

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-10407-2_38

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10406-5

  • Online ISBN: 978-3-319-10407-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics