Proof of the outage probability conjecture for MISO channels

Emmanuel Abbe; Shao Lun Huang; Emre Telatar

doi:10.1109/TIT.2013.2240762

Proof of the outage probability conjecture for MISO channels

Emmanuel Abbe, Shao Lun Huang, Emre Telatar

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

10 Scopus citations

Abstract

It is conjectured that the covariance matrices minimizing the outage probability under a power constraint for multiple-input multiple-output channels with Gaussian fading are diagonal with either zeros or constant values on the diagonal. In the multiple-input single-output (MISO) setting, this is equivalent to conjecture that the Gaussian quadratic forms having largest tail probability correspond to such diagonal matrices. This paper provides a proof of the conjecture in this MISO setting.

Original language	English (US)
Article number	6413232
Pages (from-to)	2596-2602
Number of pages	7
Journal	IEEE Transactions on Information Theory
Volume	59
Issue number	5
DOIs	https://doi.org/10.1109/TIT.2013.2240762
State	Published - 2013

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

Keywords

Extremal probability
Gaussian quadratic form
MIMO
MISO
outage probability

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10.1109/TIT.2013.2240762

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title = "Proof of the outage probability conjecture for MISO channels",

abstract = "It is conjectured that the covariance matrices minimizing the outage probability under a power constraint for multiple-input multiple-output channels with Gaussian fading are diagonal with either zeros or constant values on the diagonal. In the multiple-input single-output (MISO) setting, this is equivalent to conjecture that the Gaussian quadratic forms having largest tail probability correspond to such diagonal matrices. This paper provides a proof of the conjecture in this MISO setting.",

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AU - Abbe, Emmanuel

AU - Huang, Shao Lun

AU - Telatar, Emre

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AB - It is conjectured that the covariance matrices minimizing the outage probability under a power constraint for multiple-input multiple-output channels with Gaussian fading are diagonal with either zeros or constant values on the diagonal. In the multiple-input single-output (MISO) setting, this is equivalent to conjecture that the Gaussian quadratic forms having largest tail probability correspond to such diagonal matrices. This paper provides a proof of the conjecture in this MISO setting.

KW - Extremal probability

KW - Gaussian quadratic form

KW - MIMO

KW - MISO

KW - outage probability

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JF - IEEE Transactions on Information Theory

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M1 - 6413232

ER -

Proof of the outage probability conjecture for MISO channels

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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