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DF MISO system with arbitrary beamforming in atmospheric turbulence and misalignment errors

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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.

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Notes

  1. Without loss of generality we consider that \(\eta \) is same for both the receive apertures.

References

  1. 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)

    Article  Google Scholar 

  2. 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)

    Article  Google Scholar 

  3. 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)

    Article  Google Scholar 

  4. 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

    Google Scholar 

  5. 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)

    Article  Google Scholar 

  6. Sharma, P.K., Bansal, A., Garg, P.: Relay assisted bi-directional communication in generalized turbulence fading. J. Lightwave Technol. 33(1), 133–139 (2015)

    Article  Google Scholar 

  7. 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)

    Article  Google Scholar 

  8. Song, X., Cheng, J.: Subcarrier intensity modulated MIMO optical communications in atmospheric turbulence. IEEE/OSA J. Opt. Commun. Netw. 5(9), 1001–1009 (2013)

    Article  Google Scholar 

  9. 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)

    Article  Google Scholar 

  10. 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

    Google Scholar 

  11. 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)

    Article  Google Scholar 

  12. I. Wolfram Research.: Mathematica Edition: Version 8.0. Wolfram Research Inc., Champaign (2010)

  13. Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series, Products, 6th edn. Academic, San Diego (2000)

    MATH  Google Scholar 

  14. 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)

  15. Cho, K., Yoon, D.: On the general BER expression of one-and two-dimensional amplitude modulations. IEEE Trans. Commun. 50(7), 1074–1080 (2002)

    Article  Google Scholar 

  16. 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)

    Article  Google Scholar 

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Acknowledgements

This work is supported by the Visvesvaraya Young Faculty Research Fellowship from Ministry of Electronics and Information Technology, Government of India.

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Correspondence to Ankur Bansal.

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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

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  • DOI: https://doi.org/10.1007/s11107-017-0728-6

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