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2019 | OriginalPaper | Chapter

Asymptotic Symbol Error Rate Analysis of Weibull/Shadowed Composite Fading Channel

Authors : Puspraj Singh Chauhan, Sanjay Kumar Soni

Published in: ICCCE 2018

Publisher: Springer Singapore

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Abstract

In this work, we derive the asymptotic expressions of the average symbol error probability (SEP) of a wireless system over the Weibull-lognormal fading channel. First, we evaluate an approximation of the multipath distribution at the origin then the composite distribution is obtained by averaging the approximate multipath probability density function (PDF) with respect to shadowing. The result is further extended to include maximal ratio combining (MRC), equal gain combining (EGC), and selection combining (SC) PDF at the origin. The derived expressions of the composite PDF are further utilized to evaluate the average SEP for both coherent and non-coherent modulation schemes. The derived expressions have been corroborated with Monte-Carlo simulations.

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Literature
1.
go back to reference Sagias NC, Karagiannidis GK, Bithas PS, Mathiopouls PT (2005) On the correlated Weibull fading model and its applications. In: Ieee transactions on vehicular technology conference, pp 2149–2153 Sagias NC, Karagiannidis GK, Bithas PS, Mathiopouls PT (2005) On the correlated Weibull fading model and its applications. In: Ieee transactions on vehicular technology conference, pp 2149–2153
2.
go back to reference Cheng J, Tellambura C, Beaulieu NC (2004) Performance of digital linear modulations on weibull slow-fading channels. IEEE Trans Commun 52(8):1265–1268CrossRef Cheng J, Tellambura C, Beaulieu NC (2004) Performance of digital linear modulations on weibull slow-fading channels. IEEE Trans Commun 52(8):1265–1268CrossRef
3.
go back to reference Ibdah Y, Ding Y (2015) Mobile-to-mobile channel measurements at 1.85 GHz in suburban environments. IEEE Trans Commun 63(2):466–475 Ibdah Y, Ding Y (2015) Mobile-to-mobile channel measurements at 1.85 GHz in suburban environments. IEEE Trans Commun 63(2):466–475
4.
go back to reference Bessate A, Bouanani FEL (2016) A very tight approximate results of MRC receivers over independent Weibull fading channels. Phys Commun 21:30–40 Bessate A, Bouanani FEL (2016) A very tight approximate results of MRC receivers over independent Weibull fading channels. Phys Commun 21:30–40
5.
go back to reference Khandelwal V (2014) Karmeshu: a new approximation for average symbol error probability over log-normal channels. IEEE Wirel Commun Lett 3(1):58–61CrossRef Khandelwal V (2014) Karmeshu: a new approximation for average symbol error probability over log-normal channels. IEEE Wirel Commun Lett 3(1):58–61CrossRef
6.
go back to reference Navidpour SM, Uysal M, Kavehrad M (2007) BER performance of free-space optical transmission with spatial diversity. IEEE Trans Wirel Commun 6(8):2813–2819CrossRef Navidpour SM, Uysal M, Kavehrad M (2007) BER performance of free-space optical transmission with spatial diversity. IEEE Trans Wirel Commun 6(8):2813–2819CrossRef
7.
go back to reference Héliot F, Xiaoli C, Hoshyar R, Tafazolli R (2009) A tight closed-form approximation of the log-normal fading channel capacity. IEEE Trans Wirel Commun 8(6):2842–2847CrossRef Héliot F, Xiaoli C, Hoshyar R, Tafazolli R (2009) A tight closed-form approximation of the log-normal fading channel capacity. IEEE Trans Wirel Commun 8(6):2842–2847CrossRef
8.
go back to reference Wang Z, Giannakis GB (2003) A Simple and General Parametrization Quantifying Performance in Fading Channels. IEEE Trans Commun 51(8):1389–1398CrossRef Wang Z, Giannakis GB (2003) A Simple and General Parametrization Quantifying Performance in Fading Channels. IEEE Trans Commun 51(8):1389–1398CrossRef
9.
go back to reference Chen Z, Chi Z, Li Y, Vucetic B (2009) Error performance of maximal-ratio combining with transmit antenna selection in flat Nakagami-\(m\) fading channels. IEEE Trans Wirel Commun 8(1):424–431 Chen Z, Chi Z, Li Y, Vucetic B (2009) Error performance of maximal-ratio combining with transmit antenna selection in flat Nakagami-\(m\) fading channels. IEEE Trans Wirel Commun 8(1):424–431
10.
go back to reference Zhang H, Matthaiou M, Tan Z, Wang H (2012) Performance Analysis of digital communication systems over composite \(\eta \mu \)/Gamma fading channels. IEEE Trans Veh Technol 61(7):3114–3124CrossRef Zhang H, Matthaiou M, Tan Z, Wang H (2012) Performance Analysis of digital communication systems over composite \(\eta \mu \)/Gamma fading channels. IEEE Trans Veh Technol 61(7):3114–3124CrossRef
11.
go back to reference Badarneh OS, Aloqlah MS (2016) Performance analysis of digital communication systems over \(\alpha -\eta -\mu \) fading channels. IEEE Trans Veh Technol 65(10):7972–7982CrossRef Badarneh OS, Aloqlah MS (2016) Performance analysis of digital communication systems over \(\alpha -\eta -\mu \) fading channels. IEEE Trans Veh Technol 65(10):7972–7982CrossRef
12.
go back to reference Chauhan PS, Tiwari D, Soni SK (2017) New analytical expressions for the performance metrics of wireless communication system over weibull/lognormal composite fading. Int J Electron Commun (AEU) 82:397–405CrossRef Chauhan PS, Tiwari D, Soni SK (2017) New analytical expressions for the performance metrics of wireless communication system over weibull/lognormal composite fading. Int J Electron Commun (AEU) 82:397–405CrossRef
13.
go back to reference Simon MK, Alouini M (2005) Digital communication over fading channels, (2nd ed.), New York, Wiley Simon MK, Alouini M (2005) Digital communication over fading channels, (2nd ed.), New York, Wiley
14.
go back to reference Shanker PM (2004) Error rates in generalized shadowed fading channels. Wirel Person Commun 28:233–238CrossRef Shanker PM (2004) Error rates in generalized shadowed fading channels. Wirel Person Commun 28:233–238CrossRef
15.
go back to reference Gradshteyn IS, Ryzhik IM (2007) Table of integrals, series, and products. (7th ed.), Academic Press, California Gradshteyn IS, Ryzhik IM (2007) Table of integrals, series, and products. (7th ed.), Academic Press, California
16.
go back to reference Rana V, Chauhan PS, Soni SK, Bhatt M (2017) A new closed-form of ASEP and channel capacity with MRC and selection combining over Inverse Gaussian shadowing. Int J Electron Commun (AEU) 74:107–115CrossRef Rana V, Chauhan PS, Soni SK, Bhatt M (2017) A new closed-form of ASEP and channel capacity with MRC and selection combining over Inverse Gaussian shadowing. Int J Electron Commun (AEU) 74:107–115CrossRef
17.
go back to reference Prudnikov AP, Brychkov YA, Marichev OI (1986) Integrals and Series Volume 2: Special Functions, 1st edn. Gordon and Breach Science Publishers Prudnikov AP, Brychkov YA, Marichev OI (1986) Integrals and Series Volume 2: Special Functions, 1st edn. Gordon and Breach Science Publishers
18.
go back to reference Loo C (1985) A statistical model for a land mobile satellite link. IEEE Trans Veh Technol 34:122–127CrossRef Loo C (1985) A statistical model for a land mobile satellite link. IEEE Trans Veh Technol 34:122–127CrossRef
19.
go back to reference Loo C (1990) Digital transmission through a land mobile satellite channel. IEEE Trans Commun 38:693–697CrossRef Loo C (1990) Digital transmission through a land mobile satellite channel. IEEE Trans Commun 38:693–697CrossRef
Metadata
Title
Asymptotic Symbol Error Rate Analysis of Weibull/Shadowed Composite Fading Channel
Authors
Puspraj Singh Chauhan
Sanjay Kumar Soni
Copyright Year
2019
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-13-0212-1_19