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.
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Notes
- 1.
\(\otimes \) denotes convolution of distributions.
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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
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DOI: https://doi.org/10.1007/978-3-319-10407-2_37
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