Milica I. Petković, Goran T. Đorđević, Dejan N. Milić

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In this paper, average bit error rate (BER) analysis of the free-space optical (FSO) system employing subcarrier intensity modulation (SIM) with differential phase-shift keying (DPSK) and avalanche photodiode (APD) receiver is presented. The atmospheric turbulence is described by the Gamma-Gamma statistical model taking the pointing errors into account. Numerical results are presented and confirmed by Monte Carlo simulations. The effects of atmospheric turbulence, pointing errors and receiver parameters on the average BER performance are observed and discussed. Based on the presented results, it is concluded that the minimum of the average BER exists for an optimal value of APD gain, which is heavily dependent on receiver noise temperature, bit rate and atmospheric conditions.

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S. Arnon, J. Barry, G. Karagiannidis, R. Schober, M. Uysal, Eds., Advanced Optical Wireless Communication Systems. New York, USA: Cambridge University Press, 2012. [Online]. Available: http://dx.doi.org/10.1017/CBO9780511979187

Z. Ghassemlooy, W. Popoola, S. Rajbhandari, Optical Wireless Communications: System and Channel Modelling with MATLAB. Boca Raton, USA: CRC Press, 2013.

L. C. Andrews, R. N. Philips, Laser Beam Propagation through Random Media. 2nd ed., Bellingham, Washington, USA: Spie Press, 2005. [Online]. Available: http://dx.doi.org/ 10.1117/3.626196

M. A. Al-Habash, L. C. Andrews, R. N. Philips, "Mathematical model for the irradiance probability density function of a laser beam propagating through turbulent media," Optical Engineering, vol. 40, no. 8, pp. 1554–1562, 2013. [Online]. Available: http://dx.doi.org/10.1117/1.1386641

H. G. Sandalidis, "Optimization models for misalignment fading mitigation in optical wireless links," IEEE Communications Letters, vol. 12, no. 5, pp. 395–397, 2008. [Online]. Available: http://dx.doi.org/


A. A. Farid, S. Hranilovic, "Outage capacity optimization for free space optical links with pointing errors," Journal of Lightwave Technology, vol. 25, no. 7, pp. 1702–1710, 2007. [Online]. Available: 10.1109/JLT.2007.899174

H. G. Sandalidis, T. A. Tsiftsis, G. K. Karagiannidis, "Optical wireless communications with heterodyne detection over turbulence channels with pointing errors," Journal of Lightwave Technology, vol. 27, no. 20, pp. 4440–4445, 2009. [Online]. Available: http://dx.doi.org/10.1109/JLT.2009.2024169

A. A. Farid, S. Hranilovic, "Outage capacity for MISO intensity-modulated free-space optical links with misalignment," IEEE Journal of Optical Communications and Networking, vol. 3, no. 10, pp. 780–789, 2011. [Online]. Available: http://dx.doi.org/10.1364/JOCN.3.000780

J. Li, J. Q. Liu, D. P. Taylor, "Optical communication using subcarrier PSK intensity modulation through atmospheric turbulence channels," IEEE Transactions on Communications, vol. 55, no. 8, pp. 1598–1606, 2007. [Online]. Available: http://dx.doi.org/10.1109/TCOMM.2007.902592

W. Popoola, Z. Ghassemlooy, "BPSK subcarrier intensity modulated free-space optical communications in atmospheric turbulence," Journal of Lightwave Technology, vol. 27, no. 8, pp. 967–973, 2009. [Online]. Available: http://dx.doi.org/10.1109/JLT.2008.2004950

X. Song, M. Niu, J. Cheng, "Error rate subcarrier intensity modulations for wireless optical communications," IEEE Communications Letters, vol. 16, no. 4, pp. 540–453, 2012. [Online]. Available: http://dx.doi.org/10.1109/LCOMM.2012.021612.112554

M. Z. Hassan, M. J. Hossain, J. Cheng, "Exact BER analysis of subcarrier QAM and PSK intensity modulations in strong turbulence," in Proceedings of the 2014 International Conference on Computing, Networking and Communications (ICNC), Honolulu, HI, pp. 478–483, 2014. [Online]. Available: http://dx.doi.org/10.1109/ICCNC.2014.6785382

M. Z. Hassan, S. Xuegui, J. Cheng, "Subcarrier intensity modulated wireless optical communications with rectangular QAM," IEEE Journal of Optical Communications and Networking, vol. 4, no. 6, pp. 522–532, 2012. [Online]. Available: http://dx.doi.org/10.1364/JOCN.4.000522

W. O. Popoola, Z. Ghassemlooy, E. Leitgeb, "Free-space optical communication in atmospheric turbulence using DPSK subcarrier modulation," in Proceedings of Ninth International Symposium on Communication Theory and Applications ISCTA'07, 2007.

W. O. Popoola, Z. Ghassemlooy, E. Leitgeb, "BER and outage probability of DPSK subcarrier intensity modulated free space optics in fully developed speckle," Journal of Communications, vol. 4, no. 8, pp. 546–554, 2009. [Online]. Available: http://dx.doi.org/10.4304/jcm.4.8.546-554

K. Prabu, D. S. Kumar, "BER analysis of DPSK–SIM over MIMO free space optical links with misalignment," Optik-International Journal for Light and Electron Optics, vol. 125, no. 18, pp. 5176–5180, 2014. [Online]. Available: 10.1016/j.ijleo.2014.05.012

M. R. Bhatnagar, "Differential decoding of SIM DPSK over FSO MIMO links," IEEE Communications Letters, vol. 17, no. 1, pp. 79–82, 2013. [Online]. Available: http://dx.doi.org/10.1109/LCOMM.


F. Xu, M. Khalighi, S. Bourennane, "Impact of different noise sources on the performance of PIN-and APD-based FSO receivers," in Proceedings of the 2011 11th International Conference on Telecommunications (ConTEL), Graz, 2011.

P. Gopal, Pooja, V. K. Jain, S. Kar, "Performance comparison of PIN and APD based FSO satellite systems for various pulse modulation schemes in atmospheric turbulence," Communications and Network, vol. 5, no. 3B, pp. 200–203, 2013. [Online]. Available: http://dx.doi.org/10.4236/cn.2013.53B2038

K. Kiasaleh, "Performance of APD-based, PPM free-space optical communication systems in atmospheric turbulence," IEEE Transactions on Communications, vol. 53, no. 9, pp. 1455–1461, 2005. [Online]. Available: http://dx.doi.org/10.1109/TCOMM.2005.855009

M. I. Petković, G. T. Đorđević, D. N. Milić, "BER Performance of IM/DD FSO System with OOK using APD Receiver," Radioengineering, vol. 23, no. 1, pp. 480–487, 2014. [Online]. Available: http://hdl.handle.net/


B. T. Vu, N. T. Dang, T. C. Thang, A. T. Pham, "Bit error rate analysis of rectangular QAM/FSO systems using an APD receiver over atmospheric turbulence channels," Journal of Optical Communications and Networking, vol. 5, no. 5, pp. 437–446, 2013. [Online]. Available: http://hdl.handle.net/10.1364/JOCN.5.000437

D. A. Luong, T. C. Thang, A. T. Pham, "Effect of avalanche photodiode and thermal noises on the performance of binary phase-shift keying subcarrier-intensity modulation/free-space optical systems over turbulence channels," IET Communications, vol. 7, no. 8, pp. 738–744, 2013. [Online]. Available: http://dx.doi.org/10.1049/iet-com.2012.0600

L. Wansu, T. S. Cho, Y. Changho, K. Kim, "BER performance of coherent DPSK free-space optical systems with APD over turbulence channels," in Proceedings of 14th OptoElectronics and Communications Conference (OECC 2009), Hong Kong, July 2009, pp. 1–2. [Online]. Available: http://dx.doi.org/10.1109/OECC.2009.5213925

I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed., New York: Academic, 2000.

J. G. Proakis, Digital Communications, 4th ed., New York: McGraw-Hill, Inc., 2001.


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