On the sum of squared η-μ random variates with application to the performance of wireless communication systems

Imran Shafique Ansari; Ferkan Yilmaz; Mohamed-Slim Alouini

doi:10.1109/VTCSpring.2013.6692669

On the sum of squared η-μ random variates with application to the performance of wireless communication systems

Imran Shafique Ansari, Ferkan Yilmaz, Mohamed-Slim Alouini

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

21 Scopus citations

Abstract

The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed squared η-μ variates, applicable to the output statistics of maximal ratio combining (MRC) receiver operating over η-μ fading channels that includes the Hoyt and the Nakagami-m models as special cases, is presented in closed-form in terms of the Fox's H function. Further analysis, particularly on the bit error rate via PDF-based approach, is also represented in closed form in terms of the extended Fox's H function (H). The proposed new analytical results complement previous results and are illustrated by extensive numerical and Monte Carlo simulation results. © 2013 IEEE.

Original language	English (US)
Title of host publication	2013 IEEE 77th Vehicular Technology Conference (VTC Spring)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)	9781467363372
DOIs	https://doi.org/10.1109/VTCSpring.2013.6692669
State	Published - Jun 2013

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KAUST Repository Item: Exported on 2020-10-01

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10.1109/VTCSpring.2013.6692669

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title = "On the sum of squared η-μ random variates with application to the performance of wireless communication systems",

abstract = "The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed squared η-μ variates, applicable to the output statistics of maximal ratio combining (MRC) receiver operating over η-μ fading channels that includes the Hoyt and the Nakagami-m models as special cases, is presented in closed-form in terms of the Fox's H function. Further analysis, particularly on the bit error rate via PDF-based approach, is also represented in closed form in terms of the extended Fox's H function (H). The proposed new analytical results complement previous results and are illustrated by extensive numerical and Monte Carlo simulation results. {\textcopyright} 2013 IEEE.",

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doi = "10.1109/VTCSpring.2013.6692669",

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On the sum of squared η-μ random variates with application to the performance of wireless communication systems. / Ansari, Imran Shafique; Yilmaz, Ferkan; Alouini, Mohamed-Slim.
2013 IEEE 77th Vehicular Technology Conference (VTC Spring). Institute of Electrical and Electronics Engineers (IEEE), 2013.

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

TY - GEN

T1 - On the sum of squared η-μ random variates with application to the performance of wireless communication systems

AU - Ansari, Imran Shafique

AU - Yilmaz, Ferkan

AU - Alouini, Mohamed-Slim

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2013/6

Y1 - 2013/6

N2 - The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed squared η-μ variates, applicable to the output statistics of maximal ratio combining (MRC) receiver operating over η-μ fading channels that includes the Hoyt and the Nakagami-m models as special cases, is presented in closed-form in terms of the Fox's H function. Further analysis, particularly on the bit error rate via PDF-based approach, is also represented in closed form in terms of the extended Fox's H function (H). The proposed new analytical results complement previous results and are illustrated by extensive numerical and Monte Carlo simulation results. © 2013 IEEE.

AB - The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed squared η-μ variates, applicable to the output statistics of maximal ratio combining (MRC) receiver operating over η-μ fading channels that includes the Hoyt and the Nakagami-m models as special cases, is presented in closed-form in terms of the Fox's H function. Further analysis, particularly on the bit error rate via PDF-based approach, is also represented in closed form in terms of the extended Fox's H function (H). The proposed new analytical results complement previous results and are illustrated by extensive numerical and Monte Carlo simulation results. © 2013 IEEE.

UR - http://hdl.handle.net/10754/564721

UR - http://arxiv.org/abs/arXiv:1210.0100v1

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DO - 10.1109/VTCSpring.2013.6692669

M3 - Conference contribution

SN - 9781467363372

BT - 2013 IEEE 77th Vehicular Technology Conference (VTC Spring)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

On the sum of squared η-μ random variates with application to the performance of wireless communication systems

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