Abstract

In this paper, we present analytical expressions for the performance of dual-hop urban optical wireless communication system under the combined influence of atmospheric turbulence induced-fading and misalignment-fading (pointing errors). The system employs an amplify and forward relay with the assumption that channel state information is available at transmitting as well as receiving terminals. The atmospheric turbulence channels are modeled by independent but not necessarily identically distributed (i.n.i.d) Gamma–Gamma fading statistics with pointing error impairments. Using a tight upper bound for the end-to-end signal to noise ratio of the system, we derive the novel closed form expressions for the moment generating function and probability density function all in terms of Meijer’s G-function. Based on the aforementioned statistical results, accurate closed-form expressions for average symbol error rate for M-ary phase shift keying modulation schemes, outage probability and the ergodic capacity under four adaptive transmission policies namely optimal rate adaptation, optimal power and rate adaptation, channel inversion with fixed rate and truncated channel inversion with fixed rate are derived in terms of Meijer’s G -function function. Finally, the proposed mathematical analysis is accompanied with various numerical examples to demonstrate the effect of different system parameters on the system performance.

© 2014 IEEE

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  1. D. Kedar, S. Arnon, "Urban optical wireless communication networks: The main challenges and possible solutions ," IEEE Commun. Mag. 42, S2-S7 (2004).
  2. S. Arnon, "Effects of atmospheric turbulence and building sway on optical wireless-communication systems," Opt. Lett. 28, 129-131 (2003).
  3. W. Gappmair, "Novel results on pulse-position modulation performance for terrestrial free-space optical links impaired by turbulent atmosphere and pointing errors," IET Commun. 6, 1300-1305 (2012).
  4. W. Huang, J. Takayanagi, T. Sakanaka, M. Nakagawa, "Atmospheric optical communication system using subcarrier PSK modulation," IEICE Trans. Commun. E76-B, 1169-1177 (1993).
  5. J. Li, J. Q. Liu, D. P. Taylor, "Optical communication using subcarrier PSK intensity modulation through atmospheric turbulence channels," IEEE Trans. Commun. 55, 1598- 1606 (2007).
  6. N. D. Chatzidiamantis, A. S. Lioumpas, G. K. Karagiannidis, S. Arnon, "Adaptive subcarrier PSK intensity modulation in free space optical systems," IEEE Trans. Commun. 59 , 1368-1377 (2011).
  7. I. S. Ansari, F. Yilmaz, and M.-S. Alouini, “Impact of pointing errors on the performance of mixed RF/FSO dual-hop transmission systems,” IEEE Wireless Commun. Lett., vol. 2, no. 3, pp. 351–354, Jun. 2013..
  8. I. S. Ansari, F. Yilmaz, M.-S. Alouini, "On the performance of hybrid RF and RF/FSO fixed gain dual-hop transmission systems," Proc. Saudi Int. Elect. Commun. Photon. Conf. (2013) pp. 1-6.
  9. I. S. Ansari, F. Yilmaz, and M.-S. Alouini, “On the performance of hybrid RF and RF/FSO dual-hop transmission systems,” presented at the 2nd Inter. Work. Opt. Wir. Commun., Newcastle Upon Tyne, U.K., Oct. 2013..
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  12. A. A. Farid, S. Hranilovic, "Outage capacity optimization for freespace optical links with pointing errors ," IEEE J. Lightw. Tech. 25, 1702 -1710 (2007).
  13. K. P. Peppas, A. N. Stassinakis, H. E. Nistazakis, G. S. Tombras, "Capacity analysis of dual amplify-and-forward relayed free-space optical communication systems over turbulence channels with pointing errors ," IEEE/OSA J. Opt. Commun. Net. 5, 1032-1042 (2013).
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  15. W. Gappmair, "Further results on the capacity of free-space optical channels in turbulent atmosphere," IET Commun. 5, 1262-1267 (2011).
  16. M. Hasna, M. S. Alouini, "End-to-end performance of transmission systems with relays over Rayleigh-fading channel ," IEEE Trans. Wirel. Commun. 2, 1126-1131 (2003).
  17. G. K. Karagiannidis, T. A. Tsiftsis, R. K. Mallik, "Bounds of multihop relayed communications in Nakagami-m fading," IEEE Trans. Commun. 54, 18-22 (2006).
  18. A. P. Prudnikov, Y. A. Brychkov, O. I. Marichev, Integrals and Series Volume 3: More Special Functions (Gordon and Breach Science Publishers, 1986).
  19. F. Yilmaz, O. Kucur, M.-S. Alouini, "A novel framework on exact average symbol error probabilities of multihop transmission over amplify-and-forward relay fading channels ," Proc. 7th Inter. Symp. Wir. Commun. Sys. (2010) pp. 546-550.
  20. F. Yilmaz, O. Kucur, M.-S. Alouini, "Exact capacity analysis of multihop transmission over amplify-and-forward relay fading channels," Proc. IEEE Inter. Symp. Personal Indoor Mobile Radio Commun. (2010) pp. 2293-2298.
  21. A. P. Prudnikov, Y. A. Brychkov, O. I. Marichev, Integrals and Series Volume 4: Direct Laplace Transforms (CRC, 1992).
  22. M. K. Simon, M. S. Alouini, Digital Communication over Fading Channels (John Wiley and Sons, 2000).
  23. M. McKay, A. Zanella, I. Collings, M. Chiani, "Error probability and SINR analysis of optimum combining in Rician fading," IEEE Trans. Commun. 57, 676-687 (2009).
  24. C. K. Datsikas, K. P. Peppas, N. C. Sagias, G. S. Tombras, "Serial free-space optical relaying communications over Gamma-Gamma atmospheric turbulence channels," IEEE/OSA J. Opt. Commun. Net. 2, 576-586 (2010).

2013 (2)

X. Song, F. Yang, J. Cheng, "Subcarrier intensity modulated optical wireless communications in atmospheric turbulence with pointing errors," IEEE/OSA J. Opt. Commun. Net. 5, 349-358 (2013).

K. P. Peppas, A. N. Stassinakis, H. E. Nistazakis, G. S. Tombras, "Capacity analysis of dual amplify-and-forward relayed free-space optical communication systems over turbulence channels with pointing errors ," IEEE/OSA J. Opt. Commun. Net. 5, 1032-1042 (2013).

2012 (1)

W. Gappmair, "Novel results on pulse-position modulation performance for terrestrial free-space optical links impaired by turbulent atmosphere and pointing errors," IET Commun. 6, 1300-1305 (2012).

2011 (2)

N. D. Chatzidiamantis, A. S. Lioumpas, G. K. Karagiannidis, S. Arnon, "Adaptive subcarrier PSK intensity modulation in free space optical systems," IEEE Trans. Commun. 59 , 1368-1377 (2011).

W. Gappmair, "Further results on the capacity of free-space optical channels in turbulent atmosphere," IET Commun. 5, 1262-1267 (2011).

2010 (1)

C. K. Datsikas, K. P. Peppas, N. C. Sagias, G. S. Tombras, "Serial free-space optical relaying communications over Gamma-Gamma atmospheric turbulence channels," IEEE/OSA J. Opt. Commun. Net. 2, 576-586 (2010).

2009 (1)

M. McKay, A. Zanella, I. Collings, M. Chiani, "Error probability and SINR analysis of optimum combining in Rician fading," IEEE Trans. Commun. 57, 676-687 (2009).

2007 (2)

J. Li, J. Q. Liu, D. P. Taylor, "Optical communication using subcarrier PSK intensity modulation through atmospheric turbulence channels," IEEE Trans. Commun. 55, 1598- 1606 (2007).

A. A. Farid, S. Hranilovic, "Outage capacity optimization for freespace optical links with pointing errors ," IEEE J. Lightw. Tech. 25, 1702 -1710 (2007).

2006 (1)

G. K. Karagiannidis, T. A. Tsiftsis, R. K. Mallik, "Bounds of multihop relayed communications in Nakagami-m fading," IEEE Trans. Commun. 54, 18-22 (2006).

2004 (1)

D. Kedar, S. Arnon, "Urban optical wireless communication networks: The main challenges and possible solutions ," IEEE Commun. Mag. 42, S2-S7 (2004).

2003 (2)

S. Arnon, "Effects of atmospheric turbulence and building sway on optical wireless-communication systems," Opt. Lett. 28, 129-131 (2003).

M. Hasna, M. S. Alouini, "End-to-end performance of transmission systems with relays over Rayleigh-fading channel ," IEEE Trans. Wirel. Commun. 2, 1126-1131 (2003).

1997 (1)

A. J. Goldsmith, P. P. Varaiya, "Capacity of fading channels with channel side information," IEEE Trans. Inf. Theory 43, 1986 -1992 (1997).

1993 (1)

W. Huang, J. Takayanagi, T. Sakanaka, M. Nakagawa, "Atmospheric optical communication system using subcarrier PSK modulation," IEICE Trans. Commun. E76-B, 1169-1177 (1993).

IEEE/OSA J. Opt. Commun. Net. (1)

X. Song, F. Yang, J. Cheng, "Subcarrier intensity modulated optical wireless communications in atmospheric turbulence with pointing errors," IEEE/OSA J. Opt. Commun. Net. 5, 349-358 (2013).

IEEE Trans. Commun. (1)

J. Li, J. Q. Liu, D. P. Taylor, "Optical communication using subcarrier PSK intensity modulation through atmospheric turbulence channels," IEEE Trans. Commun. 55, 1598- 1606 (2007).

IEEE Commun. Mag. (1)

D. Kedar, S. Arnon, "Urban optical wireless communication networks: The main challenges and possible solutions ," IEEE Commun. Mag. 42, S2-S7 (2004).

IEEE J. Lightw. Tech. (1)

A. A. Farid, S. Hranilovic, "Outage capacity optimization for freespace optical links with pointing errors ," IEEE J. Lightw. Tech. 25, 1702 -1710 (2007).

IEEE Trans. Commun. (3)

G. K. Karagiannidis, T. A. Tsiftsis, R. K. Mallik, "Bounds of multihop relayed communications in Nakagami-m fading," IEEE Trans. Commun. 54, 18-22 (2006).

N. D. Chatzidiamantis, A. S. Lioumpas, G. K. Karagiannidis, S. Arnon, "Adaptive subcarrier PSK intensity modulation in free space optical systems," IEEE Trans. Commun. 59 , 1368-1377 (2011).

M. McKay, A. Zanella, I. Collings, M. Chiani, "Error probability and SINR analysis of optimum combining in Rician fading," IEEE Trans. Commun. 57, 676-687 (2009).

IEEE Trans. Inf. Theory (1)

A. J. Goldsmith, P. P. Varaiya, "Capacity of fading channels with channel side information," IEEE Trans. Inf. Theory 43, 1986 -1992 (1997).

IEEE Trans. Wirel. Commun. (1)

M. Hasna, M. S. Alouini, "End-to-end performance of transmission systems with relays over Rayleigh-fading channel ," IEEE Trans. Wirel. Commun. 2, 1126-1131 (2003).

IEEE/OSA J. Opt. Commun. Net. (1)

C. K. Datsikas, K. P. Peppas, N. C. Sagias, G. S. Tombras, "Serial free-space optical relaying communications over Gamma-Gamma atmospheric turbulence channels," IEEE/OSA J. Opt. Commun. Net. 2, 576-586 (2010).

IEEE/OSA J. Opt. Commun. Net. (1)

K. P. Peppas, A. N. Stassinakis, H. E. Nistazakis, G. S. Tombras, "Capacity analysis of dual amplify-and-forward relayed free-space optical communication systems over turbulence channels with pointing errors ," IEEE/OSA J. Opt. Commun. Net. 5, 1032-1042 (2013).

IEICE Trans. Commun. (1)

W. Huang, J. Takayanagi, T. Sakanaka, M. Nakagawa, "Atmospheric optical communication system using subcarrier PSK modulation," IEICE Trans. Commun. E76-B, 1169-1177 (1993).

IET Commun. (2)

W. Gappmair, "Novel results on pulse-position modulation performance for terrestrial free-space optical links impaired by turbulent atmosphere and pointing errors," IET Commun. 6, 1300-1305 (2012).

W. Gappmair, "Further results on the capacity of free-space optical channels in turbulent atmosphere," IET Commun. 5, 1262-1267 (2011).

Opt. Lett. (1)

Other (9)

I. S. Ansari, F. Yilmaz, and M.-S. Alouini, “Impact of pointing errors on the performance of mixed RF/FSO dual-hop transmission systems,” IEEE Wireless Commun. Lett., vol. 2, no. 3, pp. 351–354, Jun. 2013..

I. S. Ansari, F. Yilmaz, M.-S. Alouini, "On the performance of hybrid RF and RF/FSO fixed gain dual-hop transmission systems," Proc. Saudi Int. Elect. Commun. Photon. Conf. (2013) pp. 1-6.

I. S. Ansari, F. Yilmaz, and M.-S. Alouini, “On the performance of hybrid RF and RF/FSO dual-hop transmission systems,” presented at the 2nd Inter. Work. Opt. Wir. Commun., Newcastle Upon Tyne, U.K., Oct. 2013..

I. S. Ansari, F. Yilmaz, M.-S. Alouini, "On the performance of mixed RF/FSO variable gain dual-hop transmission systems with pointing errors," Proc. IEEE 78th Veh. Tech. Conf. (2013).

A. P. Prudnikov, Y. A. Brychkov, O. I. Marichev, Integrals and Series Volume 3: More Special Functions (Gordon and Breach Science Publishers, 1986).

F. Yilmaz, O. Kucur, M.-S. Alouini, "A novel framework on exact average symbol error probabilities of multihop transmission over amplify-and-forward relay fading channels ," Proc. 7th Inter. Symp. Wir. Commun. Sys. (2010) pp. 546-550.

F. Yilmaz, O. Kucur, M.-S. Alouini, "Exact capacity analysis of multihop transmission over amplify-and-forward relay fading channels," Proc. IEEE Inter. Symp. Personal Indoor Mobile Radio Commun. (2010) pp. 2293-2298.

A. P. Prudnikov, Y. A. Brychkov, O. I. Marichev, Integrals and Series Volume 4: Direct Laplace Transforms (CRC, 1992).

M. K. Simon, M. S. Alouini, Digital Communication over Fading Channels (John Wiley and Sons, 2000).

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