Generalized mercury/waterfilling for multiple-input multiple-output channels

Fernando Pérez-Cruz; Miguel R.D. Rodrigues; Sergio Verdú

Generalized mercury/waterfilling for multiple-input multiple-output channels

Fernando Pérez-Cruz, Miguel R.D. Rodrigues, Sergio Verdú

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We determine the power-allocation policy that maximizes the mutual information for general multiple-input multiple-output Gaussian channels with arbitrary input distributions, by capitalizing on the recent relationship between mutual information and minimum mean squared error (MMSE). In this context, we put forth a novel interpretation of the optimal power-allocation procedure that generalizes the mercury/waterfilling algorithm, previously proposed for parallel non-interfering channels. In this generalization the mercury level accounts for the sub-optimal (non-Gaussian) input distribution and the interferences between inputs.

Original language	English (US)
Title of host publication	45th Annual Allerton Conference on Communication, Control, and Computing 2007
Publisher	University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering
Pages	198-205
Number of pages	8
ISBN (Electronic)	9781605600864
State	Published - 2007
Event	45th Annual Allerton Conference on Communication, Control, and Computing 2007 - Monticello, United States Duration: Sep 26 2007 → Sep 28 2007

Publication series

Name	45th Annual Allerton Conference on Communication, Control, and Computing 2007
Volume	1

Other

Other	45th Annual Allerton Conference on Communication, Control, and Computing 2007
Country/Territory	United States
City	Monticello
Period	9/26/07 → 9/28/07

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Computer Science Applications

Keywords

MIMO
MMSE
Mutual Information
Optimum Power Allocation
Waterfilling

Cite this

Pérez-Cruz, F., Rodrigues, M. R. D., & Verdú, S. (2007). Generalized mercury/waterfilling for multiple-input multiple-output channels. In 45th Annual Allerton Conference on Communication, Control, and Computing 2007 (pp. 198-205). (45th Annual Allerton Conference on Communication, Control, and Computing 2007; Vol. 1). University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering.

Pérez-Cruz, Fernando ; Rodrigues, Miguel R.D. ; Verdú, Sergio. / Generalized mercury/waterfilling for multiple-input multiple-output channels. 45th Annual Allerton Conference on Communication, Control, and Computing 2007. University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, 2007. pp. 198-205 (45th Annual Allerton Conference on Communication, Control, and Computing 2007).

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title = "Generalized mercury/waterfilling for multiple-input multiple-output channels",

abstract = "We determine the power-allocation policy that maximizes the mutual information for general multiple-input multiple-output Gaussian channels with arbitrary input distributions, by capitalizing on the recent relationship between mutual information and minimum mean squared error (MMSE). In this context, we put forth a novel interpretation of the optimal power-allocation procedure that generalizes the mercury/waterfilling algorithm, previously proposed for parallel non-interfering channels. In this generalization the mercury level accounts for the sub-optimal (non-Gaussian) input distribution and the interferences between inputs.",

keywords = "MIMO, MMSE, Mutual Information, Optimum Power Allocation, Waterfilling",

author = "Fernando P{\'e}rez-Cruz and Rodrigues, {Miguel R.D.} and Sergio Verd{\'u}",

year = "2007",

language = "English (US)",

series = "45th Annual Allerton Conference on Communication, Control, and Computing 2007",

publisher = "University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering",

pages = "198--205",

booktitle = "45th Annual Allerton Conference on Communication, Control, and Computing 2007",

note = "45th Annual Allerton Conference on Communication, Control, and Computing 2007 ; Conference date: 26-09-2007 Through 28-09-2007",

}

Pérez-Cruz, F, Rodrigues, MRD & Verdú, S 2007, Generalized mercury/waterfilling for multiple-input multiple-output channels. in 45th Annual Allerton Conference on Communication, Control, and Computing 2007. 45th Annual Allerton Conference on Communication, Control, and Computing 2007, vol. 1, University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, pp. 198-205, 45th Annual Allerton Conference on Communication, Control, and Computing 2007, Monticello, United States, 9/26/07.

Generalized mercury/waterfilling for multiple-input multiple-output channels. / Pérez-Cruz, Fernando; Rodrigues, Miguel R.D.; Verdú, Sergio.
45th Annual Allerton Conference on Communication, Control, and Computing 2007. University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, 2007. p. 198-205 (45th Annual Allerton Conference on Communication, Control, and Computing 2007; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Generalized mercury/waterfilling for multiple-input multiple-output channels

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AU - Rodrigues, Miguel R.D.

AU - Verdú, Sergio

PY - 2007

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N2 - We determine the power-allocation policy that maximizes the mutual information for general multiple-input multiple-output Gaussian channels with arbitrary input distributions, by capitalizing on the recent relationship between mutual information and minimum mean squared error (MMSE). In this context, we put forth a novel interpretation of the optimal power-allocation procedure that generalizes the mercury/waterfilling algorithm, previously proposed for parallel non-interfering channels. In this generalization the mercury level accounts for the sub-optimal (non-Gaussian) input distribution and the interferences between inputs.

AB - We determine the power-allocation policy that maximizes the mutual information for general multiple-input multiple-output Gaussian channels with arbitrary input distributions, by capitalizing on the recent relationship between mutual information and minimum mean squared error (MMSE). In this context, we put forth a novel interpretation of the optimal power-allocation procedure that generalizes the mercury/waterfilling algorithm, previously proposed for parallel non-interfering channels. In this generalization the mercury level accounts for the sub-optimal (non-Gaussian) input distribution and the interferences between inputs.

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BT - 45th Annual Allerton Conference on Communication, Control, and Computing 2007

PB - University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering

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Pérez-Cruz F, Rodrigues MRD, Verdú S. Generalized mercury/waterfilling for multiple-input multiple-output channels. In 45th Annual Allerton Conference on Communication, Control, and Computing 2007. University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering. 2007. p. 198-205. (45th Annual Allerton Conference on Communication, Control, and Computing 2007).

Generalized mercury/waterfilling for multiple-input multiple-output channels

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All Science Journal Classification (ASJC) codes

Keywords

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