### Abstract

The joint source-channel coding problem is considered. The joint source-channel coding theorem reveals the existence of a code for the pair of the source and the channel under the condition that the error probability is smaller than or equal to ∈ asymptotically. The separation theorem guarantees that we can achieve the optimal coding performance by using the two-stage coding. In the case that ∈ = 0, Han showed the joint source-channel coding theorem and the separation theorem for general sources and channels. Furthermore the ∈-coding theorem (0 ≤ ∈ < 1) in the similar setting was studied. However, the separation theorem was not revealed since it is difficult in general. So we consider the separation theorem in this setting.

Original language | English |
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Pages (from-to) | 2936-2940 |

Number of pages | 5 |

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

Volume | E92-A |

Issue number | 11 |

DOIs | |

Publication status | Published - 2009 Nov |

### Keywords

- Error probability
- Joint source-channel coding
- Separation theorem

### ASJC Scopus subject areas

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

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## Cite this

*IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences*,

*E92-A*(11), 2936-2940. https://doi.org/10.1587/transfun.E92.A.2936