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

King Abdullah University of Science and Technology

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

23 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
DOIs	https://doi.org/10.1109/VTCSpring.2013.6692669
Publication status	Published - 2013
Externally published	Yes
Event	2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013 - Dresden, Germany Duration: 2 Jun 2013 → 5 Jun 2013

Publication series

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

Conference

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

Keywords

η-μ variates
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

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10.1109/VTCSpring.2013.6692669

Cite this

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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 = "η-μ variates, 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",

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year = "2013",

doi = "10.1109/VTCSpring.2013.6692669",

language = "English",

isbn = "9781467363372",

series = "IEEE Vehicular Technology Conference",

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

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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, 2013 IEEE 77th Vehicular Technology Conference, VTC Spring 2013, 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. 2013. 6692669 (IEEE Vehicular Technology Conference).

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

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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

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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 - η-μ variates

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

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

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Y2 - 2 June 2013 through 5 June 2013

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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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