On dualities in multiterminal coding problems
Stankovic, V. and Cheng, S. and Xiong, Z. (2006) On dualities in multiterminal coding problems. IEEE Transactions on Information Theory, 52 (1). pp. 307-315. ISSN 0018-9448 (https://doi.org/10.1109/TIT.2005.860465)
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It has been shown recently that under certain conditions there exist dualities between different multiterminal (MT) source and channel coding problems. Following these results, we study lossless MT source coding and deterministic MT channel coding problems and point out different dualities between them. In particular, we show that there exists a functional duality between a Slepian-Wolf (SW) coding problem and a deterministic broadcast channel (DBC) coding problem and between a lossless multiple-description (MD) coding problem and a deterministic multiple-access channel (DMAC) coding problem. In analogy to the duality established between DBC and DMAC coding problems, we further propose a similar duality between SW and lossless MD coding problems; in this way, we form a closed "duality loop" of four MT coding problems, which imposes the existence of a single common rate point in the achievable rate regions of all four dual problems. We also consider duality in zero-error MT coding and shed light on practical code design with an example. Finally, extension to the case with only one lossless/deterministic component in the source/channel coding problem is provided.
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Item type: Article ID code: 12845 Dates: DateEventJanuary 2006PublishedSubjects: Technology > Electrical engineering. Electronics Nuclear engineering Department: Faculty of Engineering > Electronic and Electrical Engineering Depositing user: Strathprints Administrator Date deposited: 01 Dec 2011 14:50 Last modified: 08 Apr 2024 16:57 URI: https://strathprints.strath.ac.uk/id/eprint/12845