[go: up one dir, main page]

Skip to main content

Information Nonanticipative Rate Distortion Function and Its Applications

  • Chapter
  • First Online:
Coordination Control of Distributed Systems

Abstract

In this chapter, we introduce the information nonanticipative rate distortion function (RDF), and we compare it with the classical information RDF, identifying certain limitations of the later, with respect to nonanticipative or real-time transmission for delay-sensitive applications. Then, we proceed further to describe applications of nonanticipative RDF in (1) joint source-channel coding (JSCC) using nonanticipative (delayless) transmission, and in (2) bounding the optimal performance theoretically attainable (OPTA) by noncausal and causal codes for general sources. Finally, to facilitate the application of the information nonanticipative RDF in computing the aforementioned bounds and in applying it to JSCC based on nonanticipative transmission, we proceed further to present the expression of the optimal reproduction distribution for nonstationary sources.

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

Access this chapter

Subscribe and save

Springer+ Basic
€32.70 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
EUR 29.95
Price includes VAT (France)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 85.59
Price includes VAT (France)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
EUR 105.49
Price includes VAT (France)
  • 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

Institutional subscriptions

Similar content being viewed by others

Notes

  1. 1.

    \(\otimes \) denotes convolution of distributions.

References

  1. Berger T (1971) Rate distortion theory: a mathematical basis for data compression. Prentice-Hall, Englewood Cliffs

    Google Scholar 

  2. Neuhoff DL, Gilbert RK (1982) Causal source codes. IEEE Trans Inf Theor 28(5):701–713

    Article  MathSciNet  MATH  Google Scholar 

  3. Charalambous CD, Farhadi A (2008) LQG optimality and separation principle for general discrete time partially observed stochastic systems over finite capacity communication channels. Automatica 44(12):3181–3188

    Google Scholar 

  4. Charalambous CD, Kourtellaris CK, Hadjicostis C (2011) Optimal encoder and control strategies in stochastic control subject to rate constraints for channels with memory and feedback. In: 50th IEEE CDC/ECC, 12–15 Dec 2011, pp 4522-â4527

    Google Scholar 

  5. Charalambous CD, Stavrou PA (2012) Directed information on abstract spaces: properties and extremum problems. In: IEEE international symposium on information theory (ISIT), Cambridge, MA, USA, 1-â6 Jul 2012, pp 518–522

    Google Scholar 

  6. Stavrou PA, Kourtellaris CK, Charalambous CD (2014) Information nonanticipative rate distortion function and its applications. IEEE Trans Inf Theor (submitted) [Online]. Available: http://arxiv.org/abs/1405.1593v1

  7. Berger T (1977) Explicit bounds to R(D) for a binary symmetric Markov source. IEEE Trans Inf Theor 23(1):52–59

    Google Scholar 

  8. Berger T (2003) Living information theory. IEEE Inf Theor Soc Newslett 53(1):6–19

    Google Scholar 

  9. Charalambous CD, Stavrou PA, Ahmed NU (2014) Nonanticipative rate distortion function and relations to filtering theory. IEEE Trans Autom Control 59(4):357–352

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Photios A. Stavrou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Stavrou, P.A., Kourtellaris, C.K., Charalambous, C.D. (2015). Information Nonanticipative Rate Distortion Function and Its Applications. 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_37

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-10407-2_37

  • 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