Accurate approximations and asymptotic results for the sum-rate of random beamforming for multi-antenna gaussian broadcast channels

Ki Hong Park; Young Chai Ko

doi:10.1109/VETECS.2009.5073356

Accurate approximations and asymptotic results for the sum-rate of random beamforming for multi-antenna gaussian broadcast channels

Ki Hong Park^*, Young Chai Ko

^*Corresponding author for this work

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

10 Scopus citations

Abstract

In this paper, we first present a new closed form approximation for the sum-rate of random beamforming. A generic curve fitting procedure is developed to make this approximation accurate for arbitrary signal-to-noise ratios (SNRs) and number of transmit antennas. Our analytical approach leads also to simple asymptotic formulas for high SNR or large number of antennas. Selected numerical results show that our proposed approximation leads to results that come very close to the exact sum-rate and that our asymptotic formulas converge to the exact values when the SNR or the number of antennas tend to high values.

Original language	English (US)
Title of host publication	VTC Spring 2009 - IEEE 69th Vehicular Technology Conference
DOIs	https://doi.org/10.1109/VETECS.2009.5073356
State	Published - 2009
Externally published	Yes
Event	VTC Spring 2009 - IEEE 69th Vehicular Technology Conference - Barcelona, Spain Duration: Apr 26 2009 → Apr 29 2009

Other

Other	VTC Spring 2009 - IEEE 69th Vehicular Technology Conference
Country/Territory	Spain
City	Barcelona
Period	04/26/09 → 04/29/09

ASJC Scopus subject areas

Electrical and Electronic Engineering
Computer Science Applications
Applied Mathematics

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10.1109/VETECS.2009.5073356

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title = "Accurate approximations and asymptotic results for the sum-rate of random beamforming for multi-antenna gaussian broadcast channels",

abstract = "In this paper, we first present a new closed form approximation for the sum-rate of random beamforming. A generic curve fitting procedure is developed to make this approximation accurate for arbitrary signal-to-noise ratios (SNRs) and number of transmit antennas. Our analytical approach leads also to simple asymptotic formulas for high SNR or large number of antennas. Selected numerical results show that our proposed approximation leads to results that come very close to the exact sum-rate and that our asymptotic formulas converge to the exact values when the SNR or the number of antennas tend to high values.",

author = "Park, {Ki Hong} and Ko, {Young Chai}",

year = "2009",

doi = "10.1109/VETECS.2009.5073356",

language = "English (US)",

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AU - Park, Ki Hong

AU - Ko, Young Chai

PY - 2009

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AB - In this paper, we first present a new closed form approximation for the sum-rate of random beamforming. A generic curve fitting procedure is developed to make this approximation accurate for arbitrary signal-to-noise ratios (SNRs) and number of transmit antennas. Our analytical approach leads also to simple asymptotic formulas for high SNR or large number of antennas. Selected numerical results show that our proposed approximation leads to results that come very close to the exact sum-rate and that our asymptotic formulas converge to the exact values when the SNR or the number of antennas tend to high values.

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U2 - 10.1109/VETECS.2009.5073356

DO - 10.1109/VETECS.2009.5073356

M3 - Conference contribution

AN - SCOPUS:70349685231

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BT - VTC Spring 2009 - IEEE 69th Vehicular Technology Conference

T2 - VTC Spring 2009 - IEEE 69th Vehicular Technology Conference

Y2 - 26 April 2009 through 29 April 2009

ER -

Accurate approximations and asymptotic results for the sum-rate of random beamforming for multi-antenna gaussian broadcast channels

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