### Abstract

Source coding theorem reveals the minimum achievable code length under the condition that the error probability is smaller than or equal to some small constant. In the single user communication system, the source coding theorem was proved for general sources. The class of general source is quite large and it is important result since the result can be applied for a wide class of sources. On the other hand there are several studies to evaluate the achievable code length more precisely for the restricted class of sources by using the restriction. In the multi-user communication system, although the source coding theorem was proved for general correlated sources, there is no study to evaluate the achievable code length more precisely. In this study, we consider the stationary memoryless correlated sources and show the coding theorem for Slepian-Wolf type problem more precisely than the previous result.

Original language | English |
---|---|

Pages (from-to) | 2220-2225 |

Number of pages | 6 |

Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |

Volume | E94-A |

Issue number | 11 |

DOIs | |

Publication status | Published - 2011 Nov |

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### Keywords

- Achievability
- Slepian-Wolf coding theorem

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Computer Graphics and Computer-Aided Design
- Applied Mathematics
- Signal Processing

### Cite this

**An analysis of slepian-wolf coding problem based on the asymptotic normality.** / Nomura, Ryo; Matsushima, Toshiyasu.

Research output: Contribution to journal › Article

*IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences*, vol. E94-A, no. 11, pp. 2220-2225. https://doi.org/10.1587/transfun.E94.A.2220

}

TY - JOUR

T1 - An analysis of slepian-wolf coding problem based on the asymptotic normality

AU - Nomura, Ryo

AU - Matsushima, Toshiyasu

PY - 2011/11

Y1 - 2011/11

N2 - Source coding theorem reveals the minimum achievable code length under the condition that the error probability is smaller than or equal to some small constant. In the single user communication system, the source coding theorem was proved for general sources. The class of general source is quite large and it is important result since the result can be applied for a wide class of sources. On the other hand there are several studies to evaluate the achievable code length more precisely for the restricted class of sources by using the restriction. In the multi-user communication system, although the source coding theorem was proved for general correlated sources, there is no study to evaluate the achievable code length more precisely. In this study, we consider the stationary memoryless correlated sources and show the coding theorem for Slepian-Wolf type problem more precisely than the previous result.

AB - Source coding theorem reveals the minimum achievable code length under the condition that the error probability is smaller than or equal to some small constant. In the single user communication system, the source coding theorem was proved for general sources. The class of general source is quite large and it is important result since the result can be applied for a wide class of sources. On the other hand there are several studies to evaluate the achievable code length more precisely for the restricted class of sources by using the restriction. In the multi-user communication system, although the source coding theorem was proved for general correlated sources, there is no study to evaluate the achievable code length more precisely. In this study, we consider the stationary memoryless correlated sources and show the coding theorem for Slepian-Wolf type problem more precisely than the previous result.

KW - Achievability

KW - Slepian-Wolf coding theorem

UR - http://www.scopus.com/inward/record.url?scp=80155136974&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80155136974&partnerID=8YFLogxK

U2 - 10.1587/transfun.E94.A.2220

DO - 10.1587/transfun.E94.A.2220

M3 - Article

AN - SCOPUS:80155136974

VL - E94-A

SP - 2220

EP - 2225

JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

SN - 0916-8508

IS - 11

ER -