Symbol error probability of rectangular QAM in MRC systems with correlated η-μ Fading channels

Vahid Asghari; Daniel Benevides Da Costa; Sonia Aïssa

doi:10.1109/TVT.2009.2037638

Symbol error probability of rectangular QAM in MRC systems with correlated η-μ Fading channels

Vahid Asghari^*
, Daniel Benevides Da Costa
, Sonia Aïssa

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

In the context of η-μ generalized fading scenarios, this paper provides a general closed-form expression for the average symbol error probability (SEP) of arbitrary M-ary quadrature amplitude modulation (QAM) constellations in maximal-ratio combining (MRC) schemes over non-identical correlated channels. For such a scenario, the moment-generating function (MGF) of the signal-to-noise ratio (SNR) at the combiner output is obtained by rearranging the Gaussian components used to model the correlation between the diversity branches. The average SEP is then derived in terms of Lauricella multivariate hypergeometric functions, which can be implemented in most popular numerical softwares, such as Mathematica. The proposed analytical expressions are validated through Monte Carlo simulations, and insightful discussions are provided from the numerical results.

Original language	English
Article number	5345735
Pages (from-to)	1497-1503
Number of pages	7
Journal	IEEE Transactions on Vehicular Technology
Volume	59
Issue number	3
DOIs	https://doi.org/10.1109/TVT.2009.2037638
State	Published - Mar 2010
Externally published	Yes

Keywords

Correlated channels
Maximal-ratio combining (MRC)
Rectangular quadrature amplitude modulation (QAM)
Symbol error probability (SEP)
η-μ fading

ASJC Scopus subject areas

Automotive Engineering
Aerospace Engineering
Electrical and Electronic Engineering
Applied Mathematics

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10.1109/TVT.2009.2037638

Cite this

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title = "Symbol error probability of rectangular QAM in MRC systems with correlated η-μ Fading channels",

abstract = "In the context of η-μ generalized fading scenarios, this paper provides a general closed-form expression for the average symbol error probability (SEP) of arbitrary M-ary quadrature amplitude modulation (QAM) constellations in maximal-ratio combining (MRC) schemes over non-identical correlated channels. For such a scenario, the moment-generating function (MGF) of the signal-to-noise ratio (SNR) at the combiner output is obtained by rearranging the Gaussian components used to model the correlation between the diversity branches. The average SEP is then derived in terms of Lauricella multivariate hypergeometric functions, which can be implemented in most popular numerical softwares, such as Mathematica. The proposed analytical expressions are validated through Monte Carlo simulations, and insightful discussions are provided from the numerical results.",

keywords = "Correlated channels, Maximal-ratio combining (MRC), Rectangular quadrature amplitude modulation (QAM), Symbol error probability (SEP), η-μ fading",

author = "Vahid Asghari and \{Da Costa\}, \{Daniel Benevides\} and Sonia A{\"i}ssa",

year = "2010",

month = mar,

doi = "10.1109/TVT.2009.2037638",

language = "English",

volume = "59",

pages = "1497--1503",

journal = "IEEE Transactions on Vehicular Technology",

issn = "0018-9545",

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

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T1 - Symbol error probability of rectangular QAM in MRC systems with correlated η-μ Fading channels

AU - Asghari, Vahid

AU - Da Costa, Daniel Benevides

AU - Aïssa, Sonia

PY - 2010/3

Y1 - 2010/3

N2 - In the context of η-μ generalized fading scenarios, this paper provides a general closed-form expression for the average symbol error probability (SEP) of arbitrary M-ary quadrature amplitude modulation (QAM) constellations in maximal-ratio combining (MRC) schemes over non-identical correlated channels. For such a scenario, the moment-generating function (MGF) of the signal-to-noise ratio (SNR) at the combiner output is obtained by rearranging the Gaussian components used to model the correlation between the diversity branches. The average SEP is then derived in terms of Lauricella multivariate hypergeometric functions, which can be implemented in most popular numerical softwares, such as Mathematica. The proposed analytical expressions are validated through Monte Carlo simulations, and insightful discussions are provided from the numerical results.

AB - In the context of η-μ generalized fading scenarios, this paper provides a general closed-form expression for the average symbol error probability (SEP) of arbitrary M-ary quadrature amplitude modulation (QAM) constellations in maximal-ratio combining (MRC) schemes over non-identical correlated channels. For such a scenario, the moment-generating function (MGF) of the signal-to-noise ratio (SNR) at the combiner output is obtained by rearranging the Gaussian components used to model the correlation between the diversity branches. The average SEP is then derived in terms of Lauricella multivariate hypergeometric functions, which can be implemented in most popular numerical softwares, such as Mathematica. The proposed analytical expressions are validated through Monte Carlo simulations, and insightful discussions are provided from the numerical results.

KW - Correlated channels

KW - Maximal-ratio combining (MRC)

KW - Rectangular quadrature amplitude modulation (QAM)

KW - Symbol error probability (SEP)

KW - η-μ fading

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Symbol error probability of rectangular QAM in MRC systems with correlated η-μ Fading channels

Abstract

Keywords

ASJC Scopus subject areas

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