The algebra of MIMO channels

Emmanuel Auguste Abbe; Emre Telatar; Lizhong Zheng

The algebra of MIMO channels

Emmanuel Auguste Abbe, Emre Telatar, Lizhong Zheng

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

Abstract

We consider ergodic coherent MIMO channels. We characterize the optimal input distribution for various fading matrix distributions. First, we describe how symmetries in the fading matrix distribution and the constraint set are preserved as symmetries in the optimal input covariance and thus yield to specification of the optimal input. We will see that group structures and notion of commutant appear as key elements. Second, we investigate the Kronecker model, in this case we will show how an asymmetric structure in the problem is also preserved in the optimal input structure, leading to a new water-filling situation.

Original language	English (US)
Title of host publication	43rd Annual Allerton Conference on Communication, Control and Computing 2005
Publisher	University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering
Pages	317-326
Number of pages	10
Volume	1
ISBN (Electronic)	9781604234916
State	Published - Jan 1 2005
Externally published	Yes
Event	43rd Annual Allerton Conference on Communication, Control and Computing 2005 - Monticello, United States Duration: Sep 28 2005 → Sep 30 2005

Other

Other	43rd Annual Allerton Conference on Communication, Control and Computing 2005
Country/Territory	United States
City	Monticello
Period	9/28/05 → 9/30/05

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Computer Science Applications

Cite this

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title = "The algebra of MIMO channels",

abstract = "We consider ergodic coherent MIMO channels. We characterize the optimal input distribution for various fading matrix distributions. First, we describe how symmetries in the fading matrix distribution and the constraint set are preserved as symmetries in the optimal input covariance and thus yield to specification of the optimal input. We will see that group structures and notion of commutant appear as key elements. Second, we investigate the Kronecker model, in this case we will show how an asymmetric structure in the problem is also preserved in the optimal input structure, leading to a new water-filling situation.",

author = "Abbe, {Emmanuel Auguste} and Emre Telatar and Lizhong Zheng",

year = "2005",

month = jan,

day = "1",

language = "English (US)",

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pages = "317--326",

booktitle = "43rd Annual Allerton Conference on Communication, Control and Computing 2005",

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

note = "43rd Annual Allerton Conference on Communication, Control and Computing 2005 ; Conference date: 28-09-2005 Through 30-09-2005",

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Abbe, EA, Telatar, E & Zheng, L 2005, The algebra of MIMO channels. in 43rd Annual Allerton Conference on Communication, Control and Computing 2005. vol. 1, University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, pp. 317-326, 43rd Annual Allerton Conference on Communication, Control and Computing 2005, Monticello, United States, 9/28/05.

The algebra of MIMO channels. / Abbe, Emmanuel Auguste; Telatar, Emre; Zheng, Lizhong.
43rd Annual Allerton Conference on Communication, Control and Computing 2005. Vol. 1 University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, 2005. p. 317-326.

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

TY - GEN

T1 - The algebra of MIMO channels

AU - Abbe, Emmanuel Auguste

AU - Telatar, Emre

AU - Zheng, Lizhong

PY - 2005/1/1

Y1 - 2005/1/1

N2 - We consider ergodic coherent MIMO channels. We characterize the optimal input distribution for various fading matrix distributions. First, we describe how symmetries in the fading matrix distribution and the constraint set are preserved as symmetries in the optimal input covariance and thus yield to specification of the optimal input. We will see that group structures and notion of commutant appear as key elements. Second, we investigate the Kronecker model, in this case we will show how an asymmetric structure in the problem is also preserved in the optimal input structure, leading to a new water-filling situation.

AB - We consider ergodic coherent MIMO channels. We characterize the optimal input distribution for various fading matrix distributions. First, we describe how symmetries in the fading matrix distribution and the constraint set are preserved as symmetries in the optimal input covariance and thus yield to specification of the optimal input. We will see that group structures and notion of commutant appear as key elements. Second, we investigate the Kronecker model, in this case we will show how an asymmetric structure in the problem is also preserved in the optimal input structure, leading to a new water-filling situation.

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M3 - Conference contribution

AN - SCOPUS:84961878458

VL - 1

SP - 317

EP - 326

BT - 43rd Annual Allerton Conference on Communication, Control and Computing 2005

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

T2 - 43rd Annual Allerton Conference on Communication, Control and Computing 2005

Y2 - 28 September 2005 through 30 September 2005

ER -

The algebra of MIMO channels

Abstract

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All Science Journal Classification (ASJC) codes

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