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

Computer
King Abdullah University of Science and Technology

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

24 Citations (Scopus)

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.

Original language	English
Title of host publication	2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Print)	9781467363372
DOIs	https://doi.org/10.1109/VTCSpring.2013.6692669
Publication status	Published - 2013
Externally published	Yes
Event	77th IEEE Vehicular Technology Conference, VTC 2013-Spring - Dresden, Germany Duration: 2 Jun 2013 → 5 Jun 2013

Publication series

Name	IEEE Vehicular Technology Conference
ISSN (Print)	1550-2252

Conference

Conference	77th IEEE Vehicular Technology Conference, VTC 2013-Spring
Country/Territory	Germany
City	Dresden
Period	2/06/13 → 5/06/13

Keywords

Binary modulation schemes
Bit error rate
Cellular mobile radio systems
Diversity
Extended Fox's H function
Fox's H function
Maximal ratio combining
Meijer's G function
Non-integer parameters
η-μ variates

Access to Document

10.1109/VTCSpring.2013.6692669

Cite this

Ansari, I. S., Yilmaz, F., & Alouini, M. S. (2013). On the sum of squared η-μ random variates with application to the performance of wireless communication systems. In 2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Proceedings Article 6692669 (IEEE Vehicular Technology Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/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.",

keywords = "Binary modulation schemes, Bit error rate, Cellular mobile radio systems, Diversity, Extended Fox's H function, Fox's H function, Maximal ratio combining, Meijer's G function, Non-integer parameters, η-μ variates",

author = "Ansari, \{Imran Shafique\} and Ferkan Yilmaz and Alouini, \{Mohamed Slim\}",

year = "2013",

doi = "10.1109/VTCSpring.2013.6692669",

language = "English",

isbn = "9781467363372",

series = "IEEE Vehicular Technology Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Proceedings",

address = "United States",

note = "77th IEEE Vehicular Technology Conference, VTC 2013-Spring ; Conference date: 02-06-2013 Through 05-06-2013",

}

Ansari, IS, Yilmaz, F & Alouini, MS 2013, On the sum of squared η-μ random variates with application to the performance of wireless communication systems. in 2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Proceedings., 6692669, IEEE Vehicular Technology Conference, Institute of Electrical and Electronics Engineers Inc., 77th IEEE Vehicular Technology Conference, VTC 2013-Spring, Dresden, Germany, 2/06/13. https://doi.org/10.1109/VTCSpring.2013.6692669

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 2013 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2013. 6692669 (IEEE Vehicular Technology Conference).

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

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

PY - 2013

Y1 - 2013

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.

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.

KW - Binary modulation schemes

KW - Bit error rate

KW - Cellular mobile radio systems

KW - Diversity

KW - Extended Fox's H function

KW - Fox's H function

KW - Maximal ratio combining

KW - Meijer's G function

KW - Non-integer parameters

KW - η-μ variates

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U2 - 10.1109/VTCSpring.2013.6692669

DO - 10.1109/VTCSpring.2013.6692669

M3 - Conference contribution

AN - SCOPUS:84893583709

SN - 9781467363372

T3 - IEEE Vehicular Technology Conference

BT - 2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 77th IEEE Vehicular Technology Conference, VTC 2013-Spring

Y2 - 2 June 2013 through 5 June 2013

ER -

Ansari IS, Yilmaz F, Alouini MS. On the sum of squared η-μ random variates with application to the performance of wireless communication systems. In 2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2013. 6692669. (IEEE Vehicular Technology Conference). doi: 10.1109/VTCSpring.2013.6692669

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

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Keywords

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