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Outage probability analysis in shadowed fading channel with multiple cochannel interferences

Miloš Banđur, Đoko Banđur, Brankica Popović

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Abstract

In wireless communication systems received signal may suffer from the both multipath fading (fading) and shadowing. In this paper, ascertaining on the suitability of the Weibull distribution to model fading channel and by utilizing the fact that the gamma distribution is more convenient for manipulation than the lognormal distribution, shadowed fading channel is modeled as the Weibull-gamma. The closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the received signal are derived in terms of Bessel's and Meijer's G-functions, respectively. The synergy between the Weibull-gamma and the Weibull-lognormal model is explored and established by calculating the outage probability (Pout) and average bit error probability (ABEP). This is followed by the analysis carried out for the both fixed and random number of gamma shadowed Nakagami-m cochannel interferences (CCIs) in interference-plus-noise and interference-limited environment. The proposed mathematical analysis is complimented by various numerical results.

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What this paper is about

In wireless communication systems received signal may suffer from the both multipath fading (fading) and shadowing. In this paper, ascertaining on the suitability of the Weibull distribution to model fading channel and by utilizing the fact that the gamma distribution is more convenient for manipulation than the lognormal distribution, shadowed fading channel is modeled as the Weibull-gamma. The closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the received signal are derived in terms of Bessel's and Meijer's G-functions, respectively. The synergy between the Weibull-gamma and the Weibull-lognormal model is explored and established by calculating the outage probability (Pout) and average bit error probability (ABEP). This is followed by the analysis carried out for the both fixed and random number of gamma shadowed Nakagami-m cochannel interferences (CCIs) in interference-plus-noise and interference-limited environment. The proposed mathematical analysis is complimented by various numerical results.

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Available abstract

In wireless communication systems received signal may suffer from the both multipath fading (fading) and shadowing. In this paper, ascertaining on the suitability of the Weibull distribution to model fading channel and by utilizing the fact that the gamma distribution is more convenient for manipulation than the lognormal distribution, shadowed fading channel is modeled as the Weibull-gamma. The closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the received signal are derived in terms of Bessel's and Meijer's G-functions, respectively. The synergy between the Weibull-gamma and the Weibull-lognormal model is explored and established by calculating the outage probability (Pout) and average bit error probability (ABEP). This is followed by the analysis carried out for the both fixed and random number of gamma shadowed Nakagami-m cochannel interferences (CCIs) in interference-plus-noise and interference-limited environment. The proposed mathematical analysis is complimented by various numerical results.

Key concepts: Fading, Weibull fading, Weibull distribution, Cumulative distribution function, Fading distribution, Multipath propagation, Nakagami distribution, Log-normal distribution

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