Statistical analysis of the square ratio of two multivariate exponentially correlated α-μ distributions and its application in telecommunications

Аннотация

In this paper the exact probability density function of a multivariate α-μ distributed variables with exponentially correlated random variables is derived. Capitalizing on this the joint probability density function (JPDF) is derived for the square ratios of two multivariate exponentially correlated α-μ distributed variables. Closed form expressions are determined for the cumulative distribution function (CDF) and probability density function (PDF) of the maximal and minimal square ratio of two multivariate exponentially correlated α-μ distributions. Using these new formulae, SIR (signal-to-interference) based analysis of selection combining (SC) receiver through standard communication system performance measures can be performed.

Язык оригинала	Английский
Страницы (с-по)	152-159
Число страниц	8
Журнал	Mathematical and Computer Modelling
Том	54
Номер выпуска	1-2
DOI	https://doi.org/10.1016/j.mcm.2011.01.046
Состояние	Опубликовано - 1 июл 2011
Опубликовано для внешнего пользования	Да

ASJC Scopus subject areas

Modelling and Simulation
Computer Science Applications

Доступ к документу

10.1016/j.mcm.2011.01.046

Fingerprint Подробные сведения о темах исследования «Statistical analysis of the square ratio of two multivariate exponentially correlated α-μ distributions and its application in telecommunications». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

Milovanović, G. V., Stefanović, M. Č., Panić, S. R., Anastasov, J. A., & Krstić, D. S. (2011). Statistical analysis of the square ratio of two multivariate exponentially correlated α-μ distributions and its application in telecommunications. Mathematical and Computer Modelling, 54(1-2), 152-159. https://doi.org/10.1016/j.mcm.2011.01.046

Statistical analysis of the square ratio of two multivariate exponentially correlated α-μ distributions and its application in telecommunications. / Milovanović, Gradimir V.; Stefanović, Mihajlo Č; Panić, Stefan R.; Anastasov, Jelena A.; Krstić, Dragana S.

В: Mathematical and Computer Modelling, Том 54, № 1-2, 01.07.2011, стр. 152-159.

Результат исследований: Материалы для журнала › Статья

@article{d5296d52cc274ee18ef8a22627e4c637,

title = "Statistical analysis of the square ratio of two multivariate exponentially correlated α-μ distributions and its application in telecommunications",

abstract = "In this paper the exact probability density function of a multivariate α-μ distributed variables with exponentially correlated random variables is derived. Capitalizing on this the joint probability density function (JPDF) is derived for the square ratios of two multivariate exponentially correlated α-μ distributed variables. Closed form expressions are determined for the cumulative distribution function (CDF) and probability density function (PDF) of the maximal and minimal square ratio of two multivariate exponentially correlated α-μ distributions. Using these new formulae, SIR (signal-to-interference) based analysis of selection combining (SC) receiver through standard communication system performance measures can be performed.",

keywords = "Maximal and minimal square ratios, Multivariate distribution, SIR based SC diversity, Square ratios of exponentially correlated variables",

author = "Milovanovi{\'c}, {Gradimir V.} and Stefanovi{\'c}, {Mihajlo {\v C}} and Pani{\'c}, {Stefan R.} and Anastasov, {Jelena A.} and Krsti{\'c}, {Dragana S.}",

year = "2011",

month = jul,

day = "1",

doi = "10.1016/j.mcm.2011.01.046",

language = "English",

volume = "54",

pages = "152--159",

journal = "Mathematical and Computer Modelling",

issn = "0895-7177",

publisher = "Elsevier Limited",

number = "1-2",

}

TY - JOUR

T1 - Statistical analysis of the square ratio of two multivariate exponentially correlated α-μ distributions and its application in telecommunications

AU - Milovanović, Gradimir V.

AU - Stefanović, Mihajlo Č

AU - Panić, Stefan R.

AU - Anastasov, Jelena A.

AU - Krstić, Dragana S.

PY - 2011/7/1

Y1 - 2011/7/1

N2 - In this paper the exact probability density function of a multivariate α-μ distributed variables with exponentially correlated random variables is derived. Capitalizing on this the joint probability density function (JPDF) is derived for the square ratios of two multivariate exponentially correlated α-μ distributed variables. Closed form expressions are determined for the cumulative distribution function (CDF) and probability density function (PDF) of the maximal and minimal square ratio of two multivariate exponentially correlated α-μ distributions. Using these new formulae, SIR (signal-to-interference) based analysis of selection combining (SC) receiver through standard communication system performance measures can be performed.

AB - In this paper the exact probability density function of a multivariate α-μ distributed variables with exponentially correlated random variables is derived. Capitalizing on this the joint probability density function (JPDF) is derived for the square ratios of two multivariate exponentially correlated α-μ distributed variables. Closed form expressions are determined for the cumulative distribution function (CDF) and probability density function (PDF) of the maximal and minimal square ratio of two multivariate exponentially correlated α-μ distributions. Using these new formulae, SIR (signal-to-interference) based analysis of selection combining (SC) receiver through standard communication system performance measures can be performed.

KW - Maximal and minimal square ratios

KW - Multivariate distribution

KW - SIR based SC diversity

KW - Square ratios of exponentially correlated variables

UR - http://www.scopus.com/inward/record.url?scp=79955471356&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79955471356&partnerID=8YFLogxK

U2 - 10.1016/j.mcm.2011.01.046

DO - 10.1016/j.mcm.2011.01.046

M3 - Article

AN - SCOPUS:79955471356

VL - 54

SP - 152

EP - 159

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

SN - 0895-7177

IS - 1-2

ER -