Abstract
The performance of all-optical dual-hop relayed free-space optical communication systems is analytically studied and evaluated. We consider the case when the total received signal undergoes turbulence-induced channel fading, modeled by the versatile mixture-Gamma distribution. Also, the misalignment-induced fading due to the presence of pointing errors is jointly considered in the enclosed analysis. The performance of both amplify-and-forward and decode-and-forward relaying transmission is studied, when heterodyne detection is applied. New closed-form expressions are derived regarding some key performance metrics of the considered system; namely, the system outage probability and average bit-error rate.
Notes
In the AF relaying case, where there is no optical-to-electrical conversion at the relay node, \(\eta _{2}=1\) [12].
The sharpness of this bound is manifested when \(x\rightarrow +\infty\), such that \(\varGamma (-j,x)\rightarrow \exp (-x)x^{-j-1}\), which reflects low-to-moderate SNR regions according to (1). It is noteworthy that the latter SNR regions are of particular interest in current study, since analytical results only for the asymptotically high SNR region exist so far.
References
Ansari, I. S., Yilmaz, F., & Alouini, M. S. (2016). Performance analysis of free-space optical links over Málaga (\(M\)) turbulence channels with pointing errors. IEEE Transactions on Wireless Communications, 15(1), 91–102. https://doi.org/10.1109/TWC.2015.2467386.
Chatzidiamantis, N. D., Michalopoulos, D. S., Kriezis, E. E., Karagiannidis, G. K., & Schober, R. (2013). Relay selection protocols for relay-assisted free-space optical systems. IEEE Journal of Optical Communications and Networking, 5(1), 92–103. https://doi.org/10.1364/JOCN.5.000092.
Farid, A. A., & Hranilovic, S. (2012). Diversity gain and outage probability for MIMO free-space optical links with misalignment. IEEE Transactions on Communications, 60(2), 479–487. https://doi.org/10.1109/TCOMM.2011.121611.110181.
Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of integrals, series, and products. Waltham: Academic Press.
Hasna, M. O., & Alouini, M. S. (2004). A performance study of dual-hop transmissions with fixed gain relays. IEEE Transactions on Wireless Communications, 3(6), 1963–1968. https://doi.org/10.1109/TWC.2004.837470.
Kashani, M. A., & Uysal, M. (2013). Outage performance and diversity gain analysis of free-space optical multi-hop parallel relaying. IEEE Journal of Optical Communications and Networking, 5(8), 901–909. https://doi.org/10.1364/JOCN.5.000901.
Liu, C., Yao, Y., Sun, Y., & Zhao, X. (2010). Average capacity for heterodyne FSO communication systems over gamma–gamma turbulence channels with pointing errors. IET Electronics Letters, 46(12), 851–853. https://doi.org/10.1049/el.2010.0633.
Miridakis, N. I., & Tsiftsis, T. A. (2017). EGC reception for FSO systems under mixture-Gamma fading channels and pointing errors. IEEE Communications Letters, 21(6), 1441–1444. https://doi.org/10.1109/LCOMM.2017.2670565.
Miridakis, N. I., Vergados, D., & Michalas, A. (2017). Performance of maximum-ratio combining-enabled heterodyne detection for free-space optical systems under mixture-Gamma fading channels and pointing errors. IET Electronics Letters, 53(16), 1156–1158. https://doi.org/10.1049/el.2017.1006.
Sandalidis, H. G., Chatzidiamantis, N. D., & Karagiannidis, G. K. (2016). A tractable model for turbulence- and misalignment-induced fading in optical wireless systems. IEEE Communications Letters, 20(9), 1904–1907. https://doi.org/10.1109/LCOMM.2016.2584612.
Tsiftsis, T. A., Karagiannidis, G. K., Mathiopoulos, P. T., & Kotsopoulos, S. A. (2006). Nonregenerative dual-hop cooperative links with selection diversity. EURASIP Journal on Wireless Communications and Networking, 2006(1), 1–8.
Yang, L., Gao, X., & Alouini, M. S. (2014). Performance analysis of relay-assisted all-optical FSO networks over strong atmospheric turbulence channels with pointing errors. Journal of Lightwave Technology, 32(23), 4613–4620. https://doi.org/10.1109/JLT.2014.2364172.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Miridakis, N.I., Vergados, D.D. & Michalas, A. All-Optical FSO Relaying Under Mixture-Gamma Fading Channels and Pointing Errors. Wireless Pers Commun 104, 771–781 (2019). https://doi.org/10.1007/s11277-018-6050-5
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-018-6050-5