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Successive Encoding of Correlated Sources
Linköping University, Department of Electrical Engineering. Linköping University, The Institute of Technology.
Bell Laboratories, Murray Hill, USA / Mathematical Institute of the Hungari an Academy of Sciences, Budapest, Hungary.
1982 (English)Report (Other academic)
##### Abstract [en]

The encoding of a discrete memoryless multiple source $\small\lbrace(X_i,Y_i)\rbrace _{i=1}^{\infty}$ for reconstruction of a sequence $\small\lbrace Z_i\rbrace _{i=1}^{\infty}$ with $\small Z_i = F(X_i,Y_i ; i = 1,2....$ is considered. We require that the encoding should be such that $\small\lbrace X_i\rbrace ^\infty _{i=1}$ is encoded first without any consideration of  $\small\lbrace Y_i\rbrace ^\infty _{i=1}$, while in a seeond part of the encoding this latter sequence is encoded based on knowledge of the outcome of the first encoding. The resulting scheme is called successive encoding. We find general outer and inner bounds for the corresponding set of achievable rates along with a complete single letter characterization for the special case $\small H(X_i \ \mid \ Z_i, Y_i) = 0$ . Comparisons with the Slepian-Wolf problem [3] and the Ahlswede-Körner-Wyner side information problem [2 ], [9) are carried out.

##### Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 1982. , 23 p.
##### Series
LiTH-ISY-I, ISSN 0281-6253 ; 505
##### National Category
Computational Mathematics Telecommunications Discrete Mathematics Signal Processing Communication Systems
##### Identifiers
ISRN: LiTH-ISY-I-505OAI: oai:DiVA.org:liu-131840DiVA: diva2:1033964
Available from: 2016-10-10 Created: 2016-10-10 Last updated: 2016-10-10Bibliographically approved

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Eriksson, T.
##### By organisation
Department of Electrical EngineeringThe Institute of Technology
##### On the subject
Computational MathematicsTelecommunicationsDiscrete MathematicsSignal ProcessingCommunication Systems

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