A performance study on diversity receivers over kappa-mu shadowed fading channels

Mehmet BİLİM

A performance study on diversity receivers over kappa-mu shadowed fading channels

Yazar Mehmet BİLİM
Tür Makale/Derleme
Tarih 2019
DOI Numarası 10.1016/j.aeue.2019.152934
Yayıncı Accepted 29 September 2019 Keywords: Generalized j-l shadowed fading Selection combining and maximal ratio combining receivers Average bit error probability Outage performance Channel capacity a b s t r a c t In this study, N-branch selection combining (SC), dual-branch SC and dual-branch maximal ratio combin- ing (MRC) receivers over j-l shadowed fading channels are investigated in terms of average bit error probability (BEP), outage probability (OP) and channel capacity (CC). Firstly, a cumulative distribution function (CDF) expression for instantaneous signal-to-noise ratio (SNR) at the output of the N-branch SC system over a j-l shadowed fading channel is derived. Based on the proposed CDF expression of out- put SNR for N-branch SC receiver, OP and approximate average BEP expressions are obtained. Secondly, the probability density function (PDF) expression for a dual-branch SC system over j-l shadowed chan- nels is derived. Then, two different CC expressions of a dual-branch SC receiver are obtained by using the proposed PDF expression. Thirdly, a PDF expression for a dual-branch MRC system under j-l shadowed conditions is proposed and its CC expression with channel inversion with fixed rate for is derived. Effects of the fading parameters and the total number of branches on the system performance are examined with different scenarios. Finally, the obtained results from OP, average BEP and CC expressions are verified with numerical simulations. Ó 2019 Elsevier GmbH. All rights reserved. 1. Introduction Diversity combining methods are mostly employed in advanced wireless consumer instruments such as smartphones, WiFi routers and, laptops, to develop connection reliability and power effi- ciency. Selection combining (SC) is still one of the popular diversity techniques to combat the effects of fading in wireless environ- ments. From the implementation point of view, SC is beneficial to quantify the tradeoff between reduction in complexity and decrement in system performance. In this context, several works have studied the performance of communication systems with an SC receiver using the different fading channels in the last few years [1–11]. In [1], some analytical results for SC diversity over Weibull and Nakagami-m fading models were proposed by using the prob- ability density function (PDF) of these channel distributions. In [2], novel and exact expressions were presented for the outage proba- bility (OP) of N-branch receiver diversity which includes SC under correlated log-normal links. Subsequently, the authors in [3] pro- vided asymptotic and closed-form upper bound expressions for the error rate and the OP performance of an SC model over Nakagami-m fading conditions. Most of the latest works have considered different system model with SC over Nakagami-m fading links [4–10]. While a closed-form expression for average symbol error rate (SER) was proposed for general order rectangular quadrature amplitude mod- ulation in [4], the study in [5] analyzed SC dual-hop dual-branch amplify-and-forward relaying in the presence of Nakagami-m fad- ing. As different system models, Deng et al. and Lei et al. consid- ered transmit antenna selection with SC receiver for cognitive decode-and-forward relaying and single-input multiple-output underlay cognitive radio systems with SC in Nakagami-m faded, respectively in [6,7]. In another work in [8], the analytical deriva- tions for the outage and SER performance were obtained for unequal power dual-branch Nakagami-0.5 linear diversity combin- ing techniques with SC diversity. The authors in [9] presented the performance analysis of two-way full duplex relay with antenna selection over Nakagami channels. Similar to [9], in [10], the per- formance of multi-hop relaying caching for Nakagami conditions is analyzed. Obviously, all the channels for the studies in [1–10] were assumed to experience Nakagami-m or Weibull fading. How- ever, these channel models can be inadequate for representing the real channel environments. By considering a different fading model, a new average symbol error probability of an SC receiver over Gamma fading is presented by using PDF expression [11]. https://doi.org/10.1016/j.aeue.2019.152934 1434-8411/Ó 2019 Elsevier GmbH. All rights reserved. E-mail address: mbilim@nny.edu.tr Int. J. Electron. Commun. (AEÜ) 112 (2019) 152934 Contents lists available at ScienceDirect International Journal of Electronics and Communications (AEÜ)
Tanımlayıcı Adres https://hdl.handle.net/20.500.14440/601
Konu Başlıkları Generalized j-l shadowed fading
Selection combining and maximal ratio combining receivers
Average bit error probability Outage performance Channel capacity
Outage performance
Channel capacity

In this study, N-branch selection combining (SC), dual-branch SC and dual-branch maximal ratio combining (MRC) receivers over κ-μ shadowed fading channels are investigated in terms of average bit error probability (BEP), outage probability (OP) and channel capacity (CC). Firstly, a cumulative distribution function (CDF) expression for instantaneous signal-to-noise ratio (SNR) at the output of the N-branch SC system over a κ-μ shadowed fading channel is derived. Based on the proposed CDF expression of output SNR for N-branch SC receiver, OP and approximate average BEP expressions are obtained. Secondly, the probability density function (PDF) expression for a dual-branch SC system over κ-μ shadowed channels is derived. Then, two different CC expressions of a dual-branch SC receiver are obtained by using the proposed PDF expression. Thirdly, a PDF expression for a dual-branch MRC system under κ-μ shadowed conditions is proposed and its CC expression with channel inversion with fixed rate for is derived. Effects of the fading parameters and the total number of branches on the system performance are examined with different scenarios. Finally, the obtained results from OP, average BEP and CC expressions are verified with numerical simulations.

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Mühendislik Fakültesi
Elektrik ve Elektronik Mühendisliği

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Eser Adı (dc.title)	A performance study on diversity receivers over kappa-mu shadowed fading channels
Yazar (dc.contributor.author)	Mehmet BİLİM
Tür (dc.type)	Makale/Derleme
Dizin Platformu (dc.relation.platform)	WOS
Tarih (dc.date.issued)	2019
WOS Kategorileri (dc.identifier.wos)	SCI SCI Eaxp SSCI AHCI indeksleri
Makalenin Sayısı (dc.identifier.issue)	2019
Cilt Numarası (dc.identifier.volume)	112
Yayıncı (dc.publisher)	Accepted 29 September 2019 Keywords: Generalized j-l shadowed fading Selection combining and maximal ratio combining receivers Average bit error probability Outage performance Channel capacity a b s t r a c t In this study, N-branch selection combining (SC), dual-branch SC and dual-branch maximal ratio combin- ing (MRC) receivers over j-l shadowed fading channels are investigated in terms of average bit error probability (BEP), outage probability (OP) and channel capacity (CC). Firstly, a cumulative distribution function (CDF) expression for instantaneous signal-to-noise ratio (SNR) at the output of the N-branch SC system over a j-l shadowed fading channel is derived. Based on the proposed CDF expression of out- put SNR for N-branch SC receiver, OP and approximate average BEP expressions are obtained. Secondly, the probability density function (PDF) expression for a dual-branch SC system over j-l shadowed chan- nels is derived. Then, two different CC expressions of a dual-branch SC receiver are obtained by using the proposed PDF expression. Thirdly, a PDF expression for a dual-branch MRC system under j-l shadowed conditions is proposed and its CC expression with channel inversion with fixed rate for is derived. Effects of the fading parameters and the total number of branches on the system performance are examined with different scenarios. Finally, the obtained results from OP, average BEP and CC expressions are verified with numerical simulations. Ó 2019 Elsevier GmbH. All rights reserved. 1. Introduction Diversity combining methods are mostly employed in advanced wireless consumer instruments such as smartphones, WiFi routers and, laptops, to develop connection reliability and power effi- ciency. Selection combining (SC) is still one of the popular diversity techniques to combat the effects of fading in wireless environ- ments. From the implementation point of view, SC is beneficial to quantify the tradeoff between reduction in complexity and decrement in system performance. In this context, several works have studied the performance of communication systems with an SC receiver using the different fading channels in the last few years [1–11]. In [1], some analytical results for SC diversity over Weibull and Nakagami-m fading models were proposed by using the prob- ability density function (PDF) of these channel distributions. In [2], novel and exact expressions were presented for the outage proba- bility (OP) of N-branch receiver diversity which includes SC under correlated log-normal links. Subsequently, the authors in [3] pro- vided asymptotic and closed-form upper bound expressions for the error rate and the OP performance of an SC model over Nakagami-m fading conditions. Most of the latest works have considered different system model with SC over Nakagami-m fading links [4–10]. While a closed-form expression for average symbol error rate (SER) was proposed for general order rectangular quadrature amplitude mod- ulation in [4], the study in [5] analyzed SC dual-hop dual-branch amplify-and-forward relaying in the presence of Nakagami-m fad- ing. As different system models, Deng et al. and Lei et al. consid- ered transmit antenna selection with SC receiver for cognitive decode-and-forward relaying and single-input multiple-output underlay cognitive radio systems with SC in Nakagami-m faded, respectively in [6,7]. In another work in [8], the analytical deriva- tions for the outage and SER performance were obtained for unequal power dual-branch Nakagami-0.5 linear diversity combin- ing techniques with SC diversity. The authors in [9] presented the performance analysis of two-way full duplex relay with antenna selection over Nakagami channels. Similar to [9], in [10], the per- formance of multi-hop relaying caching for Nakagami conditions is analyzed. Obviously, all the channels for the studies in [1–10] were assumed to experience Nakagami-m or Weibull fading. How- ever, these channel models can be inadequate for representing the real channel environments. By considering a different fading model, a new average symbol error probability of an SC receiver over Gamma fading is presented by using PDF expression [11]. https://doi.org/10.1016/j.aeue.2019.152934 1434-8411/Ó 2019 Elsevier GmbH. All rights reserved. E-mail address: mbilim@nny.edu.tr Int. J. Electron. Commun. (AEÜ) 112 (2019) 152934 Contents lists available at ScienceDirect International Journal of Electronics and Communications (AEÜ)
Yayının Son Sayfa Sayısı (dc.identifier.endpage)	8
Yayının İlk Sayfa Sayısı (dc.identifier.startpage)	1
DOI Numarası (dc.identifier.doi)	10.1016/j.aeue.2019.152934
ORCID No (dc.contributor.orcid)	0000-0003-2518-3125
Dil (dc.language.iso)	EN
Tam Metin Yayınlansın Mı? (dc.identifier.tammetin)	Boş
Özet (dc.description.abstract)	In this study, N-branch selection combining (SC), dual-branch SC and dual-branch maximal ratio combining (MRC) receivers over κ-μ shadowed fading channels are investigated in terms of average bit error probability (BEP), outage probability (OP) and channel capacity (CC). Firstly, a cumulative distribution function (CDF) expression for instantaneous signal-to-noise ratio (SNR) at the output of the N-branch SC system over a κ-μ shadowed fading channel is derived. Based on the proposed CDF expression of output SNR for N-branch SC receiver, OP and approximate average BEP expressions are obtained. Secondly, the probability density function (PDF) expression for a dual-branch SC system over κ-μ shadowed channels is derived. Then, two different CC expressions of a dual-branch SC receiver are obtained by using the proposed PDF expression. Thirdly, a PDF expression for a dual-branch MRC system under κ-μ shadowed conditions is proposed and its CC expression with channel inversion with fixed rate for is derived. Effects of the fading parameters and the total number of branches on the system performance are examined with different scenarios. Finally, the obtained results from OP, average BEP and CC expressions are verified with numerical simulations.
İsmi Geçen (dc.identifier.ismigecen)	Web Of Since ismi geçen
İsmi Geçen (dc.identifier.ismigecen)	Üniversite ismi geçen
Açık Erişim Tarihi (dc.date.available)	2024-02-01
Konu Başlıkları (dc.subject)	Generalized j-l shadowed fading
Konu Başlıkları (dc.subject)	Selection combining and maximal ratio combining receivers
Konu Başlıkları (dc.subject)	Average bit error probability Outage performance Channel capacity
Konu Başlıkları (dc.subject)	Outage performance
Konu Başlıkları (dc.subject)	Channel capacity

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