Computer Science – Information Theory
Scientific paper
2011-09-29
Computer Science
Information Theory
Scientific paper
Source coding with a side information "vending machine" is a recently proposed framework in which the statistical relationship between the side information and the source, instead of being given and fixed as in the classical Wyner-Ziv problem, can be controlled by the decoder. This control action is selected by the decoder based on the message encoded by the source node. Unlike conventional settings, the message can thus carry not only information about the source to be reproduced at the decoder, but also control information aimed at improving the quality of the side information. In this paper, the single-letter characterization of the trade-offs between rate, distortion and cost associated with the control actions is extended from the previously studied point-to-point set-up to two basic multiterminal models. First, a distributed source coding model is studied, in which an arbitrary number of encoders communicate over rate-limited links to a decoder, whose side information can be controlled. The control actions are selected based on the message encoded by one of the source nodes. Then a cascade scenario, in which three nodes are connected in a cascade and the last node has controllable side information, is also investigated. For the distributed source coding setting, the rate-distortion-cost region is characterized under the assumption of lossless reconstruction of all the source sequences except that of the encoder that controls the side information. It is also assumed that side information is available "non-causally" at the decoder, similar to the Wyner-Ziv model. For the cascade model, the rate-distortion-cost region is derived for general distortion requirements and under the assumption of "causal" availability of side information at the last node.
Ahmadi Behzad
Simeone Osvaldo
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