The Three-Terminal Interactive Lossy Source Coding Problem

In this paper, we explore the three-node multiterminal lossy source coding problem, which seems to offer a formidable mathematical complexity. We derive an inner bound to the general rate-distortion region of this problem, which is a natural extension of the seminal work by Kaspi on the interactive...

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Vydáno v:IEEE transactions on information theory Ročník 63; číslo 1; s. 532 - 562
Hlavní autoři: Rey Vega, Leonardo, Piantanida, Pablo, Hero, Alfred O.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.01.2017
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
Témata:
Berger-Tung inner bound
Codes
Coding
Communication channels
Complexity theory
Computer Science
Cryptography
Decoding
Distortion
distributed lossy source coding
Information Theory
interactive lossy source coding
Mathematics
Multi-terminal source coding
Networking and Internet Architecture
Problem solving
Random variables
Rate-distortion
rate-distortion region
Source coding
Statistics
Wyner-Ziv
ISSN:0018-9448, 1557-9654
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Shrnutí:In this paper, we explore the three-node multiterminal lossy source coding problem, which seems to offer a formidable mathematical complexity. We derive an inner bound to the general rate-distortion region of this problem, which is a natural extension of the seminal work by Kaspi on the interactive two-terminal source coding problem. It is shown that this (rather involved) inner bound contains several rate-distortion regions of some relevant source coding settings. In this way, besides the non-trivial extension of the interactive two terminal problem, our results can be seen as a generalization and hence unification of several previous works in the field. By specializing the inner bound to particular cases, we obtain some novel rate-distortion regions for several multi-terminal lossy source coding problems.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2016.2621749