Abstract

A computationally efficient expression is presented for evaluating the average bit error rate (BER) of an intensity-modulation and direct-detection free-space optical system with on-off keying signaling technique operating in turbulent atmosphere described by the exponentiated Weibull distribution. The presented numerical results show the effects of aperture averaging on the average BER under weak and moderate turbulence conditions, and are confirmed by Monte Carlo simulations.

© 2012 Optical Society of America

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References

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  1. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (Bellingham, 2001).
  2. M. A. Khalighi, N. Schwartz, N. Aitamer, and S. Bourennane, J. Opt. Commun. Netw. 1, 580 (2009).
    [CrossRef]
  3. F. Xu, M. A. Khalighi, P. Causse, and S. Bourennane, Opt. Express 17, 872 (2009).
    [CrossRef]
  4. R. K. Tyson, J. Opt. Soc. Am. A 19, 753 (2002).
    [CrossRef]
  5. L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).
  6. F. S. Vetelino, C. Young, L. Andrews, and J. Recolons, Appl. Opt. 46, 2099 (2007).
    [CrossRef]
  7. R. Barrios and F. Dios, Opt. Express 20, 13055 (2012).
    [CrossRef]
  8. R. Barrios and F. Dios, Opt. Express 20, 20684 (2012).
    [CrossRef]
  9. E. Lee and V. Chan, IEEE J. Sel. Areas Commun. 22, 1896 (2004).
    [CrossRef]
  10. J. B. Wang, M. Sheng, X. Y. Song, Y. Jiao, and M. Chen, IEEE Commun. Lett. 16, 22 (2012).
    [CrossRef]
  11. Wolfram, http://functions.wolfram.com .
  12. W. H. Press, S. A. Teukolsky, W. A. Vetterling, and B. P. Flannery, Numerical Recipies in C: The Art of Scientific Computing (Cambridge Univ., 1992).
  13. A. A. Farid and S. Hranilovic, J. Lightwave Technol. 25, 1702 (2007).
    [CrossRef]
  14. Luc Devroye, Non-Uniform Random Variate Generation (Springer-Verlag, 1986).

2012 (3)

2009 (2)

2007 (2)

2004 (1)

E. Lee and V. Chan, IEEE J. Sel. Areas Commun. 22, 1896 (2004).
[CrossRef]

2002 (1)

Aitamer, N.

Andrews, L.

Andrews, L. C.

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (Bellingham, 2001).

Barrios, R.

Bourennane, S.

Causse, P.

Chan, V.

E. Lee and V. Chan, IEEE J. Sel. Areas Commun. 22, 1896 (2004).
[CrossRef]

Chen, M.

J. B. Wang, M. Sheng, X. Y. Song, Y. Jiao, and M. Chen, IEEE Commun. Lett. 16, 22 (2012).
[CrossRef]

Devroye, Luc

Luc Devroye, Non-Uniform Random Variate Generation (Springer-Verlag, 1986).

Dios, F.

Farid, A. A.

Flannery, B. P.

W. H. Press, S. A. Teukolsky, W. A. Vetterling, and B. P. Flannery, Numerical Recipies in C: The Art of Scientific Computing (Cambridge Univ., 1992).

Hopen, C. Y.

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (Bellingham, 2001).

Hranilovic, S.

Jiao, Y.

J. B. Wang, M. Sheng, X. Y. Song, Y. Jiao, and M. Chen, IEEE Commun. Lett. 16, 22 (2012).
[CrossRef]

Khalighi, M. A.

Lee, E.

E. Lee and V. Chan, IEEE J. Sel. Areas Commun. 22, 1896 (2004).
[CrossRef]

Phillips, R. L.

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (Bellingham, 2001).

Press, W. H.

W. H. Press, S. A. Teukolsky, W. A. Vetterling, and B. P. Flannery, Numerical Recipies in C: The Art of Scientific Computing (Cambridge Univ., 1992).

Recolons, J.

Schwartz, N.

Sheng, M.

J. B. Wang, M. Sheng, X. Y. Song, Y. Jiao, and M. Chen, IEEE Commun. Lett. 16, 22 (2012).
[CrossRef]

Song, X. Y.

J. B. Wang, M. Sheng, X. Y. Song, Y. Jiao, and M. Chen, IEEE Commun. Lett. 16, 22 (2012).
[CrossRef]

Teukolsky, S. A.

W. H. Press, S. A. Teukolsky, W. A. Vetterling, and B. P. Flannery, Numerical Recipies in C: The Art of Scientific Computing (Cambridge Univ., 1992).

Tyson, R. K.

Vetelino, F. S.

Vetterling, W. A.

W. H. Press, S. A. Teukolsky, W. A. Vetterling, and B. P. Flannery, Numerical Recipies in C: The Art of Scientific Computing (Cambridge Univ., 1992).

Wang, J. B.

J. B. Wang, M. Sheng, X. Y. Song, Y. Jiao, and M. Chen, IEEE Commun. Lett. 16, 22 (2012).
[CrossRef]

Xu, F.

Young, C.

Appl. Opt. (1)

IEEE Commun. Lett. (1)

J. B. Wang, M. Sheng, X. Y. Song, Y. Jiao, and M. Chen, IEEE Commun. Lett. 16, 22 (2012).
[CrossRef]

IEEE J. Sel. Areas Commun. (1)

E. Lee and V. Chan, IEEE J. Sel. Areas Commun. 22, 1896 (2004).
[CrossRef]

J. Lightwave Technol. (1)

J. Opt. Commun. Netw. (1)

J. Opt. Soc. Am. A (1)

Opt. Express (3)

Other (5)

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (Bellingham, 2001).

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).

Wolfram, http://functions.wolfram.com .

W. H. Press, S. A. Teukolsky, W. A. Vetterling, and B. P. Flannery, Numerical Recipies in C: The Art of Scientific Computing (Cambridge Univ., 1992).

Luc Devroye, Non-Uniform Random Variate Generation (Springer-Verlag, 1986).

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Figures (2)

Fig. 1.
Fig. 1.

Numerical and simulation results for average BER against average transmitted optical power under weak turbulence condition, σR2=0.15, ρ0=18.89mm.

Fig. 2.
Fig. 2.

Numerical and simulation results for average BER against average transmitted optical power under moderate turbulence condition, σR2=1.30, ρ0=9.40mm.

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

y=Rhx+n,
fh(h)=αβη(hη)β1exp[(hη)β]×{1exp[(hη)β]}α1,h0.
Fh(h)={1exp[(hη)β]}α,h0.
Pe¯=0Pe(h)fh(h)dh.
Pe¯=0Pe(h)Fh(h)dh,
Pe(h)=Q(RPthσn),
Pe(h)=1πexp(R2Pt2h22σn2).
Pe¯=01πexp(R2Pt2h22σn2)×{1exp[(hη)β]}αdh.
Pe¯=σn2πRPt0z1/2ez×{1exp[(2σnRPtηz)β]}αdz.
Pe¯σn2πRPtk=1nWk{1exp[(2σnRPtηzk)β]}α,
Wk=Γ(n+1/2)zkn!(n+1)2[Ln+1(1/2)(zk)]2.

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