Capacity Analysis for Continuous-Alphabet Channels With Side Information, Part I: A General Framework
| Autor: | Steven W. McLaughlin, Ronald W. Schafer, M. Fozunbal |
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| Rok vydání: | 2005 |
| Předmět: |
FOS: Computer and information sciences
Mathematical optimization Computer science Information Theory (cs.IT) Computer Science - Information Theory Data_CODINGANDINFORMATIONTHEORY Mutual information Library and Information Sciences Measure (mathematics) Computer Science Applications Side information Alphabet Computer Science::Information Theory Information Systems |
| Zdroj: | IEEE Transactions on Information Theory. 51:3075-3085 |
| ISSN: | 0018-9448 |
| DOI: | 10.1109/tit.2005.853322 |
| Popis: | Capacity analysis for channels with side information at the receiver has been an active area of interest. This problem is well investigated for the case of finite alphabet channels. However, the results are not easily generalizable to the case of continuous alphabet channels due to analytic difficulties inherent with continuous alphabets. In the first part of this two-part paper, we address an analytical framework for capacity analysis of continuous alphabet channels with side information at the receiver. For this purpose, we establish novel necessary and sufficient conditions for weak* continuity and strict concavity of the mutual information. These conditions are used in investigating the existence and uniqueness of the capacity-achieving measures. Furthermore, we derive necessary and sufficient conditions that characterize the capacity value and the capacity-achieving measure for continuous alphabet channels with side information at the receiver. Submitted to IEEE Trans. Inform. Theory |
| Databáze: | OpenAIRE |
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