Abstract

Ergodic capacity is investigated for the optical wireless communications employing subcarrier intensity modulation with direct detection, and coherent systems with and without polarization multiplexing over the Gamma-Gamma turbulence channels. We consider three different adaptive transmission schemes: (i) variable-power, variable-rate adaptive transmission, (ii) complete channel inversion with fixed rate, and (iii) truncated channel inversion with fixed rate. For the considered systems, highly accurate series expressions for ergodic capacity are derived using a series expansion of the modified Bessel function and the Mellin transformation of the Gamma-Gamma random variable. Our asymptotic analysis reveals that the high SNR ergodic capacities of coherent, subcarrier intensity modulated, and polarization multiplexing systems gain 0.33 bits/s/Hz, 0.66 bits/s/Hz, and 0.66 bits/s/Hz respectively with 1 dB increase of average transmitted optical power. Numerical results indicate that a polarization control error less than 10° has little influence on the capacity performance of polarization multiplexing systems.

© 2013 OSA

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2013 (1)

Md. Z. Hassan, Md. J. Hossain, and J. Cheng, “Performance of non-adaptive and adaptive subcarrier intensity modulations in Gamma-Gamma turbulence,” IEEE. Trans Commun.61, 2946–2957 (2013).
[CrossRef]

2012 (3)

K. P. Peppas, A. N. Stassinakis, G. K. Topalis, H. E. Nistazakis, and G. S. Tombras, “Average capacity of optical wireless communication systems over I− K atmospheric turbulence channels,” J. Opt. Commun. Netw.4, 1026–1032 (2012).
[CrossRef]

G. Pan, E. Ekici, and Q. Feng, “Capacity analysis of log-normal channels under various adaptive transmission schemes,” IEEE Commun. Lett.16, 346–348 (2012).
[CrossRef]

Md. Z. Hassan, X. Song, and J. Cheng, “Subcarrier intensity modulated wireless optical communications with rectangular QAM,” J. Opt. Commun. Netw.6, 522–532 (2012).
[CrossRef]

2011 (3)

M. Niu, J. Schlenker, J. Cheng, J. F. Holzman, and R. Schober, “Coherent wireless optical communications with predetection and postdetection EGC over Gamma-Gamma atmospheric turbulence channels,” J. Opt. Commun. Netw., 3, 860–869 (2011).
[CrossRef]

G. D. Xie, F. X. Wang, A. Dang, and H. Guo, “A novel polarisation-multiplexing system for free-space optical links,” IEEE Photon. Technol. Lett.23, 1484–1486 (2011).
[CrossRef]

N. D. Chatzidiamantis, A. S. Lioumpas, G. K. Karagiannidis, and S. Arnon, “Adaptive subcarrier PSK intensity modulation in free space optical systems,” IEEE Trans. Commun.59, 1368–1377 (2011).
[CrossRef]

2010 (5)

2009 (8)

E. J. Lee and V. W. S. Chan, “Diversity coherent and incoherent receivers for free-space optical communication in the presence and absence of interference,” J. Opt. Commun. Netw.1, 463–483 (2009).
[CrossRef]

X. Zhao, Y. Yao, Y. Sun, and C. Liu, “Circle polarisation shift-keying with direct detection for free-space optical communication,” J. Opt. Commun. Netw.1, 307–312 (2009).
[CrossRef]

I. B. Djordjevic, L. Xu, and T. Wang, “Beyond 100 Gb/s optical transmission based on polarization multiplexed coded-OFDM with coherent detection,” J. Opt. Commun. Netw.1, 50–56 (2009).
[CrossRef]

A. Belmonte and J. M. Kahn, “Capacity of coherent free-space optical links using diversity-combining techniques,” Opt. Express17, 12601–12611 (2009).
[CrossRef] [PubMed]

A. Belmonte and J. M. Kahn, “Capacity of coherent free-space optical links using atmospheric compensation techniques,” Opt. Express17, 2763–2773 (2009).
[CrossRef] [PubMed]

I. B. Djordjevic and G. T. Djordjevic, “On the communication over strong atmospheric turbulence channels by adaptive modulation and coding,” Opt. Express17, 18250–18262 (2009).
[CrossRef] [PubMed]

H. E. Nistazakis, E. A. Karagianni, A. D. Tsigopoulos, M. E. Fafalios, and G. S. Tombras, “Average capacity of optical wireless communication systems over atmospheric turbulence channels,” J. Lightwave Technol.27, 974–979 (2009).
[CrossRef]

H. E. Nistazakis, T. A. Tsiftsis, and G. S. Tombras, “Performance analysis of free-space optical communication systems over atmospheric turbulence channels,” IET Commun.3, 1402–1409 (2009).
[CrossRef]

2008 (2)

H. G. Sandalidis and T. A. Tsiftsis, “Outage probability and ergodic capacity of free-space optical links over strong turbulence,” Electron. Lett.44, 46–47 (2008).
[CrossRef]

A. Laourine, M.-S. Alouini, S. Affes, and A. Stéphenne, “On the capacity of generalized-K fading channels,” IEEE Trans. Wireless Commun.7, 2441–2445 (2008).
[CrossRef]

2006 (1)

2005 (1)

2003 (1)

S. M. Haas and J. H. Shapiro, “Capacity of wireless optical communications,” IEEE J. Sel. Areas Commun.21,pp. 1346–1357 (2003).
[CrossRef]

2001 (1)

A. Al-Habash, L. C. Andrews, and R. L. Phillips, “Mathematical model for the irradiance probability density function of a laser beam propagating through turbulent media,” Opt. Eng.40, 1554–1562 (2001).
[CrossRef]

1997 (1)

A. J. Goldsmith and P. P. Varaiya, “Capacity of fading channels with channel side information,” IEEE Trans. Info. Theory43, 1986–1992 (1997).
[CrossRef]

1994 (1)

F. Lazarakis, G. S. Tombras, and K. Dangakis, “Average channel capacity in a mobile radio environment with Rician statistics,” IEICE Trans. Commun.E77-B, 971–977 (1994).

1988 (1)

1981 (1)

N. Cressie, A. S. Davis, J. L. Folks, and G. E. Policello, “The moment-generating function and negative integer moments,” The American Statistician35, 148–150 (1981).

Affes, S.

A. Laourine, M.-S. Alouini, S. Affes, and A. Stéphenne, “On the capacity of generalized-K fading channels,” IEEE Trans. Wireless Commun.7, 2441–2445 (2008).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Fiber-Optical Communication Systems (Wiley, 2002).

Al-Habash, A.

A. Al-Habash, L. C. Andrews, and R. L. Phillips, “Mathematical model for the irradiance probability density function of a laser beam propagating through turbulent media,” Opt. Eng.40, 1554–1562 (2001).
[CrossRef]

Alouini, M.-S.

A. Laourine, M.-S. Alouini, S. Affes, and A. Stéphenne, “On the capacity of generalized-K fading channels,” IEEE Trans. Wireless Commun.7, 2441–2445 (2008).
[CrossRef]

Amizajerdian, F.

Andrews, L. C.

A. Al-Habash, L. C. Andrews, and R. L. Phillips, “Mathematical model for the irradiance probability density function of a laser beam propagating through turbulent media,” Opt. Eng.40, 1554–1562 (2001).
[CrossRef]

Anguita, J. A.

Arnon, S.

N. D. Chatzidiamantis, A. S. Lioumpas, G. K. Karagiannidis, and S. Arnon, “Adaptive subcarrier PSK intensity modulation in free space optical systems,” IEEE Trans. Commun.59, 1368–1377 (2011).
[CrossRef]

Banerjee, D.

D. Banerjee, PLL Performance, Simulation and Design (National Semiconductor, 2006).

Belmonte, A.

Castillo-Vázquez, B.

A. García-Zambrana, C. Castillo-Vázquez, and B. Castillo-Vázquez, “On the capacity of FSO links over Gamma-Gamma atmospheric turbulence channels using OOK signaling,” EURASIP Journal on Wireless Communications and Networking2010. Article ID 127657, 9 pages, 2010. doi:
[CrossRef]

Castillo-Vázquez, C.

A. García-Zambrana, C. Castillo-Vázquez, and B. Castillo-Vázquez, “On the capacity of FSO links over Gamma-Gamma atmospheric turbulence channels using OOK signaling,” EURASIP Journal on Wireless Communications and Networking2010. Article ID 127657, 9 pages, 2010. doi:
[CrossRef]

Chan, V. W. S.

Chatzidiamantis, N. D.

N. D. Chatzidiamantis, A. S. Lioumpas, G. K. Karagiannidis, and S. Arnon, “Adaptive subcarrier PSK intensity modulation in free space optical systems,” IEEE Trans. Commun.59, 1368–1377 (2011).
[CrossRef]

Cheng, J.

Md. Z. Hassan, Md. J. Hossain, and J. Cheng, “Performance of non-adaptive and adaptive subcarrier intensity modulations in Gamma-Gamma turbulence,” IEEE. Trans Commun.61, 2946–2957 (2013).
[CrossRef]

Md. Z. Hassan, X. Song, and J. Cheng, “Subcarrier intensity modulated wireless optical communications with rectangular QAM,” J. Opt. Commun. Netw.6, 522–532 (2012).
[CrossRef]

M. Niu, J. Schlenker, J. Cheng, J. F. Holzman, and R. Schober, “Coherent wireless optical communications with predetection and postdetection EGC over Gamma-Gamma atmospheric turbulence channels,” J. Opt. Commun. Netw., 3, 860–869 (2011).
[CrossRef]

N. Wang and J. Cheng, “Moment-based estimation for the shape parameters of the Gamma-Gamma atmospheric turbulence model,” Opt. Express18, 12824–12831 (2010).
[CrossRef] [PubMed]

Cressie, N.

N. Cressie, A. S. Davis, J. L. Folks, and G. E. Policello, “The moment-generating function and negative integer moments,” The American Statistician35, 148–150 (1981).

Cvijetic, N.

Dang, A.

G. D. Xie, F. X. Wang, A. Dang, and H. Guo, “A novel polarisation-multiplexing system for free-space optical links,” IEEE Photon. Technol. Lett.23, 1484–1486 (2011).
[CrossRef]

Dangakis, K.

F. Lazarakis, G. S. Tombras, and K. Dangakis, “Average channel capacity in a mobile radio environment with Rician statistics,” IEICE Trans. Commun.E77-B, 971–977 (1994).

Davis, A. S.

N. Cressie, A. S. Davis, J. L. Folks, and G. E. Policello, “The moment-generating function and negative integer moments,” The American Statistician35, 148–150 (1981).

Djordjevic, G. T.

Djordjevic, I. B.

Ekici, E.

G. Pan, E. Ekici, and Q. Feng, “Capacity analysis of log-normal channels under various adaptive transmission schemes,” IEEE Commun. Lett.16, 346–348 (2012).
[CrossRef]

Fafalios, M. E.

Feng, Q.

G. Pan, E. Ekici, and Q. Feng, “Capacity analysis of log-normal channels under various adaptive transmission schemes,” IEEE Commun. Lett.16, 346–348 (2012).
[CrossRef]

Folks, J. L.

N. Cressie, A. S. Davis, J. L. Folks, and G. E. Policello, “The moment-generating function and negative integer moments,” The American Statistician35, 148–150 (1981).

Galambos, P.

P. Galambos and I. Simonelli, Products of Random Variables: Applications to Problems of Physics and to Arithmetical Functions (Marcel Dekker Inc., 2004).

Gappmair, W.

W. Gappmair, “Further results on the capacity of free-space optical channels in turbulent atmosphere,” IET Commun.5, 1262–1267 (2010).
[CrossRef]

García-Zambrana, A.

A. García-Zambrana, C. Castillo-Vázquez, and B. Castillo-Vázquez, “On the capacity of FSO links over Gamma-Gamma atmospheric turbulence channels using OOK signaling,” EURASIP Journal on Wireless Communications and Networking2010. Article ID 127657, 9 pages, 2010. doi:
[CrossRef]

Goldsmith, A. J.

A. J. Goldsmith and P. P. Varaiya, “Capacity of fading channels with channel side information,” IEEE Trans. Info. Theory43, 1986–1992 (1997).
[CrossRef]

Gradshteyn, I. S.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, 2000).

Grosinger, J.

J. Grosinger, “Investigation of polarisation modulation in optical free space communications through the atmosphere,” Master thesis, Technical University of Vienna (2008).

Guo, H.

G. D. Xie, F. X. Wang, A. Dang, and H. Guo, “A novel polarisation-multiplexing system for free-space optical links,” IEEE Photon. Technol. Lett.23, 1484–1486 (2011).
[CrossRef]

Haas, S. M.

S. M. Haas and J. H. Shapiro, “Capacity of wireless optical communications,” IEEE J. Sel. Areas Commun.21,pp. 1346–1357 (2003).
[CrossRef]

Hassan, Md. Z.

Md. Z. Hassan, Md. J. Hossain, and J. Cheng, “Performance of non-adaptive and adaptive subcarrier intensity modulations in Gamma-Gamma turbulence,” IEEE. Trans Commun.61, 2946–2957 (2013).
[CrossRef]

Md. Z. Hassan, X. Song, and J. Cheng, “Subcarrier intensity modulated wireless optical communications with rectangular QAM,” J. Opt. Commun. Netw.6, 522–532 (2012).
[CrossRef]

Holmes, F.

Holzman, J. F.

Hossain, Md. J.

Md. Z. Hassan, Md. J. Hossain, and J. Cheng, “Performance of non-adaptive and adaptive subcarrier intensity modulations in Gamma-Gamma turbulence,” IEEE. Trans Commun.61, 2946–2957 (2013).
[CrossRef]

Huang, Y. K.

Hunt, J. M.

Kahn, J. M.

Karagianni, E. A.

Karagiannidis, G. K.

N. D. Chatzidiamantis, A. S. Lioumpas, G. K. Karagiannidis, and S. Arnon, “Adaptive subcarrier PSK intensity modulation in free space optical systems,” IEEE Trans. Commun.59, 1368–1377 (2011).
[CrossRef]

Laourine, A.

A. Laourine, M.-S. Alouini, S. Affes, and A. Stéphenne, “On the capacity of generalized-K fading channels,” IEEE Trans. Wireless Commun.7, 2441–2445 (2008).
[CrossRef]

Lazarakis, F.

F. Lazarakis, G. S. Tombras, and K. Dangakis, “Average channel capacity in a mobile radio environment with Rician statistics,” IEICE Trans. Commun.E77-B, 971–977 (1994).

Lee, E. J.

Lioumpas, A. S.

N. D. Chatzidiamantis, A. S. Lioumpas, G. K. Karagiannidis, and S. Arnon, “Adaptive subcarrier PSK intensity modulation in free space optical systems,” IEEE Trans. Commun.59, 1368–1377 (2011).
[CrossRef]

Liu, C.

C. Liu, Y. Yao, Y. Sun, and X. Zhao, “Average capacity for heterodyne FSO communication systems over Gamma-Gamma turbulence channels with pointing errors,” Electron. Lett.46, 851–853 (2010).
[CrossRef]

X. Zhao, Y. Yao, Y. Sun, and C. Liu, “Circle polarisation shift-keying with direct detection for free-space optical communication,” J. Opt. Commun. Netw.1, 307–312 (2009).
[CrossRef]

Neifeld, M. A.

Nistazakis, H. E.

Niu, M.

Pan, G.

G. Pan, E. Ekici, and Q. Feng, “Capacity analysis of log-normal channels under various adaptive transmission schemes,” IEEE Commun. Lett.16, 346–348 (2012).
[CrossRef]

Peppas, K. P.

Phillips, R. L.

A. Al-Habash, L. C. Andrews, and R. L. Phillips, “Mathematical model for the irradiance probability density function of a laser beam propagating through turbulent media,” Opt. Eng.40, 1554–1562 (2001).
[CrossRef]

Policello, G. E.

N. Cressie, A. S. Davis, J. L. Folks, and G. E. Policello, “The moment-generating function and negative integer moments,” The American Statistician35, 148–150 (1981).

Qian, D. Y.

Ryzhik, I. M.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, 2000).

Sandalidis, H. G.

H. G. Sandalidis and T. A. Tsiftsis, “Outage probability and ergodic capacity of free-space optical links over strong turbulence,” Electron. Lett.44, 46–47 (2008).
[CrossRef]

Schlenker, J.

Schober, R.

Shapiro, J. H.

S. M. Haas and J. H. Shapiro, “Capacity of wireless optical communications,” IEEE J. Sel. Areas Commun.21,pp. 1346–1357 (2003).
[CrossRef]

Simonelli, I.

P. Galambos and I. Simonelli, Products of Random Variables: Applications to Problems of Physics and to Arithmetical Functions (Marcel Dekker Inc., 2004).

Song, X.

Md. Z. Hassan, X. Song, and J. Cheng, “Subcarrier intensity modulated wireless optical communications with rectangular QAM,” J. Opt. Commun. Netw.6, 522–532 (2012).
[CrossRef]

Stassinakis, A. N.

Stéphenne, A.

A. Laourine, M.-S. Alouini, S. Affes, and A. Stéphenne, “On the capacity of generalized-K fading channels,” IEEE Trans. Wireless Commun.7, 2441–2445 (2008).
[CrossRef]

Sun, Y.

C. Liu, Y. Yao, Y. Sun, and X. Zhao, “Average capacity for heterodyne FSO communication systems over Gamma-Gamma turbulence channels with pointing errors,” Electron. Lett.46, 851–853 (2010).
[CrossRef]

X. Zhao, Y. Yao, Y. Sun, and C. Liu, “Circle polarisation shift-keying with direct detection for free-space optical communication,” J. Opt. Commun. Netw.1, 307–312 (2009).
[CrossRef]

Tombras, G. S.

K. P. Peppas, A. N. Stassinakis, G. K. Topalis, H. E. Nistazakis, and G. S. Tombras, “Average capacity of optical wireless communication systems over I− K atmospheric turbulence channels,” J. Opt. Commun. Netw.4, 1026–1032 (2012).
[CrossRef]

H. E. Nistazakis, E. A. Karagianni, A. D. Tsigopoulos, M. E. Fafalios, and G. S. Tombras, “Average capacity of optical wireless communication systems over atmospheric turbulence channels,” J. Lightwave Technol.27, 974–979 (2009).
[CrossRef]

H. E. Nistazakis, T. A. Tsiftsis, and G. S. Tombras, “Performance analysis of free-space optical communication systems over atmospheric turbulence channels,” IET Commun.3, 1402–1409 (2009).
[CrossRef]

F. Lazarakis, G. S. Tombras, and K. Dangakis, “Average channel capacity in a mobile radio environment with Rician statistics,” IEICE Trans. Commun.E77-B, 971–977 (1994).

Topalis, G. K.

Tsiftsis, T. A.

H. E. Nistazakis, T. A. Tsiftsis, and G. S. Tombras, “Performance analysis of free-space optical communication systems over atmospheric turbulence channels,” IET Commun.3, 1402–1409 (2009).
[CrossRef]

H. G. Sandalidis and T. A. Tsiftsis, “Outage probability and ergodic capacity of free-space optical links over strong turbulence,” Electron. Lett.44, 46–47 (2008).
[CrossRef]

Tsigopoulos, A. D.

Varaiya, P. P.

A. J. Goldsmith and P. P. Varaiya, “Capacity of fading channels with channel side information,” IEEE Trans. Info. Theory43, 1986–1992 (1997).
[CrossRef]

Vasic, B. V.

Wang, F. X.

G. D. Xie, F. X. Wang, A. Dang, and H. Guo, “A novel polarisation-multiplexing system for free-space optical links,” IEEE Photon. Technol. Lett.23, 1484–1486 (2011).
[CrossRef]

Wang, N.

Wang, T.

Xie, G. D.

G. D. Xie, F. X. Wang, A. Dang, and H. Guo, “A novel polarisation-multiplexing system for free-space optical links,” IEEE Photon. Technol. Lett.23, 1484–1486 (2011).
[CrossRef]

Xu, L.

Yao, Y.

C. Liu, Y. Yao, Y. Sun, and X. Zhao, “Average capacity for heterodyne FSO communication systems over Gamma-Gamma turbulence channels with pointing errors,” Electron. Lett.46, 851–853 (2010).
[CrossRef]

X. Zhao, Y. Yao, Y. Sun, and C. Liu, “Circle polarisation shift-keying with direct detection for free-space optical communication,” J. Opt. Commun. Netw.1, 307–312 (2009).
[CrossRef]

Yu, J. J.

Zhao, X.

C. Liu, Y. Yao, Y. Sun, and X. Zhao, “Average capacity for heterodyne FSO communication systems over Gamma-Gamma turbulence channels with pointing errors,” Electron. Lett.46, 851–853 (2010).
[CrossRef]

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