Unified Structural View of Multiterminal Source Coding
Jana, Soumya
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Permalink
https://hdl.handle.net/2142/80947
Description
Title
Unified Structural View of Multiterminal Source Coding
Author(s)
Jana, Soumya
Issue Date
2005
Doctoral Committee Chair(s)
Blahut, Richard E.
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Computer Science
Language
eng
Abstract
In fact, we set distributed source coding problems in a general framework and take a unified structural view of not only the above open problems but any two-terminal problem with noncooperative encoding. The distortion criteria, if applicable, are required to apply to single letters and be bounded. The key to the above unification is held by a fundamental source coding principle which dissociates the underlying source coding mechanism from the applicable distortion criteria and extends the typicality arguments of Shannon and Wyner-Ziv. We generalize our theory further to show that distortion criteria can also be dissociated from the underlying coding mechanism in an arbitrary multiterminal setup. As in the two-terminal problem, the general achievable region permits an infinite order information-theoretic description. Moreover, we validate our analysis by rederiving known coding theorems using our technique: Our infinite order descriptions are shown to simplify to the expected first order in the known cases.
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