On Limiting Characterizations of Memoryless Multiuser Capacity Regions

Roger S. Cheng; Sergio Verdú

doi:10.1109/18.212290

On Limiting Characterizations of Memoryless Multiuser Capacity Regions

Roger S. Cheng, Sergio Verdú

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

The restriction to Gaussian inputs in the limiting expression for the capacity regions of memoryless Gaussian interference and multiple-access channels is shown to fall short of achieving capacity even if the inputs are allowed to be dependent and nonstationary. In addition, the equality between the limiting and the single-letter characterizations of memoryless multiple-access channel capacity is established directly, without recourse to independent coding theorems.

Original language	English (US)
Pages (from-to)	609-612
Number of pages	4
Journal	IEEE Transactions on Information Theory
Volume	39
Issue number	2
DOIs	https://doi.org/10.1109/18.212290
State	Published - Mar 1993

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

Keywords

Gaussian channels
Memoryless channels
interference channels
multiple-access channels
multiuser information theory

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10.1109/18.212290

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title = "On Limiting Characterizations of Memoryless Multiuser Capacity Regions",

abstract = "The restriction to Gaussian inputs in the limiting expression for the capacity regions of memoryless Gaussian interference and multiple-access channels is shown to fall short of achieving capacity even if the inputs are allowed to be dependent and nonstationary. In addition, the equality between the limiting and the single-letter characterizations of memoryless multiple-access channel capacity is established directly, without recourse to independent coding theorems.",

keywords = "Gaussian channels, Memoryless channels, interference channels, multiple-access channels, multiuser information theory",

author = "Cheng, {Roger S.} and Sergio Verd{\'u}",

note = "Funding Information: In fact, the convex hull operation in the above limiting expressions can be omitted since the capacity region is expressed as the limit of Manuscript received November 5, 1991; revised July 10, 1992. This work was supported by the Office of Naval Research under Grant N00014-YO-J-1734. R. S. Cheng is with the Department of Electrical and Computer Engineering, University of Colorado, Boulder, CO 80309. S. Verdu is with the Department of Electrical Engineering, Princeton University, Princeton, NJ 08544. IEEE Log Number 9204098.",

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AU - Verdú, Sergio

N1 - Funding Information: In fact, the convex hull operation in the above limiting expressions can be omitted since the capacity region is expressed as the limit of Manuscript received November 5, 1991; revised July 10, 1992. This work was supported by the Office of Naval Research under Grant N00014-YO-J-1734. R. S. Cheng is with the Department of Electrical and Computer Engineering, University of Colorado, Boulder, CO 80309. S. Verdu is with the Department of Electrical Engineering, Princeton University, Princeton, NJ 08544. IEEE Log Number 9204098.

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N2 - The restriction to Gaussian inputs in the limiting expression for the capacity regions of memoryless Gaussian interference and multiple-access channels is shown to fall short of achieving capacity even if the inputs are allowed to be dependent and nonstationary. In addition, the equality between the limiting and the single-letter characterizations of memoryless multiple-access channel capacity is established directly, without recourse to independent coding theorems.

AB - The restriction to Gaussian inputs in the limiting expression for the capacity regions of memoryless Gaussian interference and multiple-access channels is shown to fall short of achieving capacity even if the inputs are allowed to be dependent and nonstationary. In addition, the equality between the limiting and the single-letter characterizations of memoryless multiple-access channel capacity is established directly, without recourse to independent coding theorems.

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KW - Memoryless channels

KW - interference channels

KW - multiple-access channels

KW - multiuser information theory

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On Limiting Characterizations of Memoryless Multiuser Capacity Regions

Abstract

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