Asymptotic statistics of mutual information for doubly correlated MIMO channels

Hyundong Shin; Moe Z. Win; Marco Chiani

doi:10.1109/TWC.2008.060271

Asymptotic statistics of mutual information for doubly correlated MIMO channels

Hyundong Shin
, Moe Z. Win
, Marco Chiani

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

32 Citations (Scopus)

Abstract

In this paper, we derive the asymptotic statistics of mutual information for multiple-input multiple-output (MIMO) Rayleigh-fading channels in the presence of spatial fading correlation at both the transmitter and the receiver. We first introduce a class of asymptotic linear spectral statistics, called carrelants, for a structured correlation matrix. The mean and variance of MIMO mutual information are then expressed in terms of the correlants of spatial correlation matrices in the asymptotic regime where the number of transmit and receive antennas tends to infinity. In particular, using Szegö's theorem on the asymptotic eigenvalue distribution of Toeplitz matrices, we give examples for special classes of correlation matrices with Toeplitz structure-exponential (or Kac-Murdock-Szegö), tridiagonal, and constant (or intraclass) correlation matrices.

Original language	English
Article number	4450824
Pages (from-to)	562-573
Number of pages	12
Journal	IEEE Transactions on Wireless Communications
Volume	7
Issue number	2
DOIs	https://doi.org/10.1109/TWC.2008.060271
Publication status	Published - Feb 2008

Bibliographical note

Funding Information:
Manuscript received May 18, 2006; revised December 29, 2006 and November 9, 2007; accepted November 9, 2007. The associate editor coordinating the review of this paper and approving it for publication was A. Molisch. This research was supported in part by the Korean Science and Engineering Foundation (KOSEF) grant funded by the Korean government (MOST) (Grant no. R01-2007-000-11202-0), the Office of Naval Research Young Investigator Award N00014-03-1-0489, the National Science Foundation under Grants ANI-0335256 and ECS-0636519, DoCoMo USA Labs, the Charles Stark Draper Laboratory Robust Distributed Sensor Networks Program, and the University of Bologna Internationalization Program.

Keywords

Asymptotic linear spectral statistics
Channel capacity
Multiple-input multiple-output (MIMO) system
Mutual information
Rayleigh fading
Spatial fading correlation
Toeplitz form

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10.1109/TWC.2008.060271

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title = "Asymptotic statistics of mutual information for doubly correlated MIMO channels",

abstract = "In this paper, we derive the asymptotic statistics of mutual information for multiple-input multiple-output (MIMO) Rayleigh-fading channels in the presence of spatial fading correlation at both the transmitter and the receiver. We first introduce a class of asymptotic linear spectral statistics, called carrelants, for a structured correlation matrix. The mean and variance of MIMO mutual information are then expressed in terms of the correlants of spatial correlation matrices in the asymptotic regime where the number of transmit and receive antennas tends to infinity. In particular, using Szeg{\"o}'s theorem on the asymptotic eigenvalue distribution of Toeplitz matrices, we give examples for special classes of correlation matrices with Toeplitz structure-exponential (or Kac-Murdock-Szeg{\"o}), tridiagonal, and constant (or intraclass) correlation matrices.",

keywords = "Asymptotic linear spectral statistics, Channel capacity, Multiple-input multiple-output (MIMO) system, Mutual information, Rayleigh fading, Spatial fading correlation, Toeplitz form",

author = "Hyundong Shin and Win, \{Moe Z.\} and Marco Chiani",

note = "Funding Information: Manuscript received May 18, 2006; revised December 29, 2006 and November 9, 2007; accepted November 9, 2007. The associate editor coordinating the review of this paper and approving it for publication was A. Molisch. This research was supported in part by the Korean Science and Engineering Foundation (KOSEF) grant funded by the Korean government (MOST) (Grant no. R01-2007-000-11202-0), the Office of Naval Research Young Investigator Award N00014-03-1-0489, the National Science Foundation under Grants ANI-0335256 and ECS-0636519, DoCoMo USA Labs, the Charles Stark Draper Laboratory Robust Distributed Sensor Networks Program, and the University of Bologna Internationalization Program.",

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AU - Win, Moe Z.

AU - Chiani, Marco

N1 - Funding Information: Manuscript received May 18, 2006; revised December 29, 2006 and November 9, 2007; accepted November 9, 2007. The associate editor coordinating the review of this paper and approving it for publication was A. Molisch. This research was supported in part by the Korean Science and Engineering Foundation (KOSEF) grant funded by the Korean government (MOST) (Grant no. R01-2007-000-11202-0), the Office of Naval Research Young Investigator Award N00014-03-1-0489, the National Science Foundation under Grants ANI-0335256 and ECS-0636519, DoCoMo USA Labs, the Charles Stark Draper Laboratory Robust Distributed Sensor Networks Program, and the University of Bologna Internationalization Program.

PY - 2008/2

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N2 - In this paper, we derive the asymptotic statistics of mutual information for multiple-input multiple-output (MIMO) Rayleigh-fading channels in the presence of spatial fading correlation at both the transmitter and the receiver. We first introduce a class of asymptotic linear spectral statistics, called carrelants, for a structured correlation matrix. The mean and variance of MIMO mutual information are then expressed in terms of the correlants of spatial correlation matrices in the asymptotic regime where the number of transmit and receive antennas tends to infinity. In particular, using Szegö's theorem on the asymptotic eigenvalue distribution of Toeplitz matrices, we give examples for special classes of correlation matrices with Toeplitz structure-exponential (or Kac-Murdock-Szegö), tridiagonal, and constant (or intraclass) correlation matrices.

AB - In this paper, we derive the asymptotic statistics of mutual information for multiple-input multiple-output (MIMO) Rayleigh-fading channels in the presence of spatial fading correlation at both the transmitter and the receiver. We first introduce a class of asymptotic linear spectral statistics, called carrelants, for a structured correlation matrix. The mean and variance of MIMO mutual information are then expressed in terms of the correlants of spatial correlation matrices in the asymptotic regime where the number of transmit and receive antennas tends to infinity. In particular, using Szegö's theorem on the asymptotic eigenvalue distribution of Toeplitz matrices, we give examples for special classes of correlation matrices with Toeplitz structure-exponential (or Kac-Murdock-Szegö), tridiagonal, and constant (or intraclass) correlation matrices.

KW - Asymptotic linear spectral statistics

KW - Channel capacity

KW - Multiple-input multiple-output (MIMO) system

KW - Mutual information

KW - Rayleigh fading

KW - Spatial fading correlation

KW - Toeplitz form

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DO - 10.1109/TWC.2008.060271

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SN - 1536-1276

VL - 7

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EP - 573

JO - IEEE Transactions on Wireless Communications

JF - IEEE Transactions on Wireless Communications

IS - 2

M1 - 4450824

ER -

Asymptotic statistics of mutual information for doubly correlated MIMO channels

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Keywords

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