1,239 research outputs found
Construction of Slepian-Wolf Source Code and Broadcast Channel Code Based on Hash Property
The aim of this paper is to prove theorems for the Slepian-Wolf source coding
and the broadcast channel coding (independent messages and no common message)
based on the the notion of a stronger version of the hash property for an
ensemble of functions. Since an ensemble of sparse matrices has a strong hash
property, codes using sparse matrices can realize the achievable rate region.
Furthermore, extensions to the multiple source coding and multiple output
broadcast channel coding are investigated.Comment: The proofs of Lemmas 4 and 9 are revised. Some proofs are simplified.
Some typos are fixed. A part of this paper has been published in Proceedings
of 2010 IEEE International Symposium on Information Theory (ISIT2010) and
Proceedings of 7th Asia-Europe Workshop "CONCEPTS in INFORMATION THEORY"
(AEW7), 2011, 39 page
Construction of Multiple Access Channel Codes Based on Hash Property
The aim of this paper is to introduce the construction of codes for a general
discrete stationary memoryless multiple access channel based on the the notion
of the hash property. Since an ensemble of sparse matrices has a hash property,
we can use sparse matrices for code construction. Our approach has a potential
advantage compared to the conventional random coding because it is expected
that we can use some approximation algorithms by using the sparse structure of
codes.Comment: This paper has been presented in part at Proc. 2011 IEEE Internal
Symposium on Information Theory and submitted to IEEE Transactions on
Information Theory. 39 page
Construction of Codes for Wiretap Channel and Secret Key Agreement from Correlated Source Outputs by Using Sparse Matrices
The aim of this paper is to prove coding theorems for the wiretap channel
coding problem and secret key agreement problem based on the the notion of a
hash property for an ensemble of functions. These theorems imply that codes
using sparse matrices can achieve the optimal rate. Furthermore, fixed-rate
universal coding theorems for a wiretap channel and a secret key agreement are
also proved.Comment: A part of this paper is presented in part at 2009 IEEE Information
Theory Workshop (ITW2009), Taormina, Italy, pp.105-109, 2009. This paper is
submitted to IEEE Transactions on Information Theory. 34 page
Multi-Terminal Codes Using Constrained-Random-Number Generators
A general multi-terminal source code and a general multi-terminal channel
code are presented. Constrained-random-number generators with sparse matrices,
which are building blocks for the code construction, are used in the
construction of both encoders and decoders. Achievable regions for source
coding and channel coding are derived in terms of entropy functions, where the
capacity region for channel coding provides an alternative to the region of
[Somekh-Baruch and Verd\'u, ISIT2006].Comment: 14 pages. This is the extended version of the paper submitted to
ISIT2018. (v2) minor chang
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