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
Volume	1
ISBN (Electronic)	9781605600864
State	Published - Jan 1 2007
Event	45th Annual Allerton Conference on Communication, Control, and Computing 2007 - Monticello, United States Duration: Sep 26 2007 → Sep 28 2007

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 Science Applications
Computer Networks and Communications

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 (Vol. 1, pp. 198-205). 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. Vol. 1 University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, 2007. pp. 198-205

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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.",

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

year = "2007",

month = jan,

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language = "English (US)",

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pages = "198--205",

booktitle = "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",

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

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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. 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. Vol. 1 University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, 2007. p. 198-205.

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

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

AU - Pérez-Cruz, Fernando

AU - Rodrigues, Miguel R.D.

AU - Verdú, Sergio

PY - 2007/1/1

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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

T2 - 45th Annual Allerton Conference on Communication, Control, and Computing 2007

Y2 - 26 September 2007 through 28 September 2007

ER -

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

Abstract

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All Science Journal Classification (ASJC) codes

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