| | |
| | |
Stat |
Members: 3645 Articles: 2'501'711 Articles rated: 2609
19 April 2024 |
|
| | | |
|
Article overview
| |
|
An information-spectrum approach to joint source-channel coding | Te Sun Han
; | Date: |
6 May 2000 | Subject: | Probability; Information Theory | math.PR cs.IT | Abstract: | Given a general source $sV={V^n}
oi$ with {em countably infinite} source alphabet and a general channel $sW={W^n}
oi$ with arbitrary {em abstract} channel input and output alphabets, we study the joint source-channel coding problem from the information-spectrum point of view. First, we generalize Feinstein’s lemma (direct part) and Verdú-Han’s lemma (converse part) so as to be applicable to the general joint source-channel coding problem. Based on these lemmas, we establish a sufficient condition as well as a necessary condition for the source $sV$ to be reliably transmissible over the channel $sW$ with asymptotically vanishing probability of error. It is shown that our sufficient condition coincides with the sufficient condition derived by Vembu, Verdú and Steinberg, whereas our necessary condition is much stronger than the necessary condition derived by them. Actually, our necessary condition coincide with our sufficient condition if we disregard some asymptotically vanishing terms appearing in those conditions. Also, it is shown that {em Separation Theorem} in the generalized sense always holds. In addition, we demonstrate a sufficient condition as well as a necessary condition for the $vep$-transmissibility ($0le vep <1$). Finally, the separation theorem of the traditional standard form is shown to hold for the class of sources and channels that satisfy the (semi-) strong converse property. | Source: | arXiv, math.PR/0005058 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |