On Capacity Analysis of Continuous Alphabet Channels

机译：连续字母通道的容量分析

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In this paper, we address an analytical framework for capacity analysis of continuous alphabet channels with side information at the receiver. We study the mutual information function and some of its analytical properties such as strict concavity and continuity. For this purpose, we use the weak topology and establish necessary and sufficient conditions for strict concavity and continuity of the mutual information based on the weak topology. We then raise the issue of capacity analysis and address necessary and sufficient conditions for the existence, uniqueness, and the expression of capacity-achieving measure.

机译：在本文中，我们提出了一个分析框架，用于分析在接收器处带有辅助信息的连续字母通道的容量。我们研究了互信息功能及其某些分析属性，例如严格的凹度和连续性。为此，我们使用弱拓扑，并基于弱拓扑为相互信息的严格凹度和连续性建立必要和充分的条件。然后，我们提出能力分析的问题，并针对存在，唯一性和表达能力获得度量的条件，解决必要和充分的条件。

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《Annual Allerton Conference on Communication, Control, and Computing; 20040929-1001; Monticello,IL(US)》|2004年|P.823-832|共10页
会议地点 MonticelloIL(US)
作者
MAJID FOZUNBAL;
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作者单位

School of Electrical and Computer Engineering Georgia Institute of Technology Atlanta, GA 30332-0250;

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正文语种 eng
中图分类通信;
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专利

1. Capacity Analysis for Continuous Alphabet Channels With Side Information, Part II: MIMO Channels [J] . Fozunbal M., McLaughlin S.W., Schafer R.W. IEEE Transactions on Information Theory . 2005,第9期

机译：具有辅助信息的连续字母信道的容量分析，第二部分：MIMO信道
2. Capacity Analysis for Continuous-Alphabet Channels With Side Information, Part I: A General Framework [J] . Fozunbal M., McLaughlin S.W., Schafer R.W. IEEE Transactions on Information Theory . 2005,第9期

机译：具有辅助信息的连续字母通道的容量分析，第一部分：通用框架
3. On identification capacity of infinite alphabets or continuous-time channels [J] . Burnashev M.V. IEEE Transactions on Information Theory . 2000,第7期

机译：关于无限字母或连续时间通道的识别能力
4. On Capacity Analysis of Continuous Alphabet Channels [C] . MAJID FOZUNBAL, University of Illinois at Urbana-Champaign, University of Illinois at Urbana-Champaign Annual Allerton Conference on Communication, Control, and Computing . 2004

机译：关于连续字母频道的容量分析
5. Capacity analysis of asymptotically large MIMO channels. [D] . Levin, Georgy. 2008

机译：渐近大MIMO信道的容量分析。
6. Multichannel continuous flow analysis on the SMA-4--7A. [O] . M G Nelson 1969

机译：SMA-4--7A上的多通道连续流分析。
7. Capacity Analysis for Continuous Alphabet Channels With Side Information, Part II: MIMO Channels [O] . M. Fozunbal, S.W. McLaughlin, R.W. Schafer 2005

机译：具有侧面信息的连续字母表通道的容量分析，第二部分：MIMO通道
8. High-SNR Capacity of AWGN Channels with Generic Alphabet Constraints. [R] . Weiner, I. 2017

机译：具有通用字母约束的aWGN信道的高信噪比容量。

On Capacity Analysis of Continuous Alphabet Channels

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