Abstract
A dual-hop decode-and-forward relay-assisted \(2\times 1\) multiple-input single-output free-space optical (FSO) communication system is considered. Error performance of the considered FSO system is analyzed with an arbitrary beamforming scheme in Gamma–Gamma distributed atmospheric turbulence and misalignment errors. The misalignment errors in the receive apertures of relay and destination are assumed to be zero-boresight, where the radial displacement in the receiver plane is modeled by Rayleigh distribution. The probability density function and moment generating function of received signal-to-noise ratio (SNR) for both the hops are derived first. By utilizing the derived statistics, the expressions of average symbol error rate for subcarrier intensity modulated-based M-ary phase shift keying (M-PSK) and M-ary quadrature amplitude modulation (M-QAM) constellations are obtained in the destination. Monte-Carlo simulations are presented to support the analysis.
Similar content being viewed by others
Notes
Without loss of generality we consider that \(\eta \) is same for both the receive apertures.
References
Sharma, P.K., Bansal, A., Garg, P., Tsiftsis, T.A., Barrios, R.: Relayed FSO communication with aperture averaging receivers and misalignment errors. IET Commun. 11(1), 45–52 (2017)
Bayaki, E., Schober, R., Mallik, R.K.: Performance analysis of MIMO free-space optical systems in Gamma–Gamma fading. IEEE Trans. Commun. 57(11), 3415–3424 (2009)
Bhatnagar, M.R.: A one bit feedback based beamforming scheme for FSO MISO system over Gamma–Gamma fading. IEEE Trans. Commun. 63(4), 1306–1318 (2015)
Ruiz, R.B., Zambrana, A.G., Vázquez, B.C., Vázquez, C.C.: MISO relay-assisted FSO systems over Gamma-Gamma-fading channels with pointing errors. IEEE Photonics Technol. Lett. (2016). https://doi.org/10.1109/LPT.2015.2492622
Sharma, P.K., Garg, P.: Bi-directional decode-XOR-forward relaying over \(\cal{M}\)-distributed free space optical links. IEEE Photonics Technol. Lett. 26(19), 1916–1919 (2014)
Sharma, P.K., Bansal, A., Garg, P.: Relay assisted bi-directional communication in generalized turbulence fading. J. Lightwave Technol. 33(1), 133–139 (2015)
Bhatnagar, M.R., Anees, S.: On the performance of Alamouti scheme in Gamma–Gamma fading FSO links with pointing errors. IEEE Wireless Commun. Lett. 4(1), 94–97 (2015)
Song, X., Cheng, J.: Subcarrier intensity modulated MIMO optical communications in atmospheric turbulence. IEEE/OSA J. Opt. Commun. Netw. 5(9), 1001–1009 (2013)
Garcia-Zambrana, A., Castillo-Vazquez, C., Castillo-Vazquez, B.: Asymptotic error-rate analysis of FSO links using transmit laser selection over Gamma–Gamma atmospheric turbulence channels with pointing errors. Opt. Exp. 20(3), 2096–2109 (2012)
Sharma, N., Bansal, A., Garg, P.: Generalized OSTBC-based subcarrier intensity-modulated MIMO optical wireless communication system. Int. J. Commun. Syst. (2016). https://doi.org/10.1002/dac.3118
Peppas, K.P., Datsikas, C.K.: Average symbol error probability of general-order rectangular quadrature amplitude modulation of optical wireless communication systems over atmospheric turbulence channels. J. Opt. Commun. Netw. 2(2), 102–110 (2010)
I. Wolfram Research.: Mathematica Edition: Version 8.0. Wolfram Research Inc., Champaign (2010)
Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series, Products, 6th edn. Academic, San Diego (2000)
Morgado, E., Mora-Jimenez, I., Vinagre, J.J., Ramos, J., Caamano, A.J.: End-to-end average BER in multihop wireless networks over fading channels. IEEE Trans. Wireless Commun. 9(8), 2478–2487 (2010)
Cho, K., Yoon, D.: On the general BER expression of one-and two-dimensional amplitude modulations. IEEE Trans. Commun. 50(7), 1074–1080 (2002)
Muller, A., Speidel, J.: Exact symbol error probability of M-PSK for multihop transmission with regenerative relays. IEEE Commun. Lett. 11(12), 952–954 (2007)
Acknowledgements
This work is supported by the Visvesvaraya Young Faculty Research Fellowship from Ministry of Electronics and Information Technology, Government of India.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sharma, P.K., Bansal, A. DF MISO system with arbitrary beamforming in atmospheric turbulence and misalignment errors. Photon Netw Commun 35, 204–209 (2018). https://doi.org/10.1007/s11107-017-0728-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11107-017-0728-6