On Statistics of Log-Ratio of Arithmetic Mean to Geometric Mean for Nakagami-<I>m</I> Fading Power

Ning WANG; Julian CHENG; Chintha TELLAMBURA

doi:10.1587/transcom.E95.B.647

On Statistics of Log-Ratio of Arithmetic Mean to Geometric Mean for Nakagami-m Fading Power

Ning WANG, Julian CHENG, Chintha TELLAMBURA

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To assess the performance of maximum-likelihood (ML) based Nakagami m parameter estimators, current methods rely on Monte Carlo simulation. In order to enable the analytical performance evaluation of ML-based m parameter estimators, we study the statistical properties of a parameter Δ, which is defined as the log-ratio of the arithmetic mean to the geometric mean for Nakagami-m fading power. Closed-form expressions are derived for the probability density function (PDF) of Δ. It is found that for large sample size, the PDF of Δ can be well approximated by a two-parameter Gamma PDF.

Publication: IEICE TRANSACTIONS on Communications Vol.E95-B No.2 pp.647-650

Publication Date: 2012/02/01

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Online ISSN: 1745-1345

DOI: 10.1587/transcom.E95.B.647

Type of Manuscript: LETTER

Category: Wireless Communication Technologies

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Ning WANG, Julian CHENG, Chintha TELLAMBURA, "On Statistics of Log-Ratio of Arithmetic Mean to Geometric Mean for Nakagami-m Fading Power" in IEICE TRANSACTIONS on Communications, vol. E95-B, no. 2, pp. 647-650, February 2012, doi: 10.1587/transcom.E95.B.647.
Abstract: To assess the performance of maximum-likelihood (ML) based Nakagami m parameter estimators, current methods rely on Monte Carlo simulation. In order to enable the analytical performance evaluation of ML-based m parameter estimators, we study the statistical properties of a parameter Δ, which is defined as the log-ratio of the arithmetic mean to the geometric mean for Nakagami-m fading power. Closed-form expressions are derived for the probability density function (PDF) of Δ. It is found that for large sample size, the PDF of Δ can be well approximated by a two-parameter Gamma PDF.
URL: https://globals.ieice.org/en_transactions/communications/10.1587/transcom.E95.B.647/_p

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@ARTICLE{e95-b_2_647,
author={Ning WANG, Julian CHENG, Chintha TELLAMBURA, },
journal={IEICE TRANSACTIONS on Communications},
title={On Statistics of Log-Ratio of Arithmetic Mean to Geometric Mean for Nakagami-m Fading Power},
year={2012},
volume={E95-B},
number={2},
pages={647-650},
abstract={To assess the performance of maximum-likelihood (ML) based Nakagami m parameter estimators, current methods rely on Monte Carlo simulation. In order to enable the analytical performance evaluation of ML-based m parameter estimators, we study the statistical properties of a parameter Δ, which is defined as the log-ratio of the arithmetic mean to the geometric mean for Nakagami-m fading power. Closed-form expressions are derived for the probability density function (PDF) of Δ. It is found that for large sample size, the PDF of Δ can be well approximated by a two-parameter Gamma PDF.},
keywords={},
doi={10.1587/transcom.E95.B.647},
ISSN={1745-1345},
month={February},}

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TY - JOUR
TI - On Statistics of Log-Ratio of Arithmetic Mean to Geometric Mean for Nakagami-m Fading Power
T2 - IEICE TRANSACTIONS on Communications
SP - 647
EP - 650
AU - Ning WANG
AU - Julian CHENG
AU - Chintha TELLAMBURA
PY - 2012
DO - 10.1587/transcom.E95.B.647
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E95-B
IS - 2
JA - IEICE TRANSACTIONS on Communications
Y1 - February 2012
AB - To assess the performance of maximum-likelihood (ML) based Nakagami m parameter estimators, current methods rely on Monte Carlo simulation. In order to enable the analytical performance evaluation of ML-based m parameter estimators, we study the statistical properties of a parameter Δ, which is defined as the log-ratio of the arithmetic mean to the geometric mean for Nakagami-m fading power. Closed-form expressions are derived for the probability density function (PDF) of Δ. It is found that for large sample size, the PDF of Δ can be well approximated by a two-parameter Gamma PDF.
ER -