Abstract

In this Letter we investigate the error performance of multiple-input multiple-output free-space optical communication systems employing intensity modulation/direct detection and operating over strong atmospheric turbulence channels. Atmospheric-induced strong turbulence fading is modeled using the negative exponential distribution. For the considered system, an approximate yet accurate analytical expression for the average bit error probability is derived and an efficient method for its numerical evaluation is proposed. Numerically evaluated and computer simulation results are further provided to demonstrate the validity of the proposed mathematical analysis.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. S. M. Navidpour, M. Uysal, and M. Kavehrad, IEEE Trans. Wireless Commun. 6, 2813 (2007).
    [CrossRef]
  2. C. Castillo-Vazquez, A. Garcia-Zambrana, and B. Castillo-Vazquez, Electron. Lett. 23, 1125 (2009).
    [CrossRef]
  3. E. Bayaki, R. Schober, and R. Mallik, IEEE Trans. Commun. 57, 3415 (2009).
    [CrossRef]
  4. M. Niu, J. Cheng, and J. F. Holzman, Opt. Express 18, 13915 (2010).
    [CrossRef]
  5. K. Peppas, IEEE Photon. Technol. Lett. 23, 839 (2011).
    [CrossRef]
  6. G. R. Osche, Optical Detection Theory for Laser Applications (Wiley, 2002).
  7. W. O. Popoola and Z. Ghassemlooy, J. Lightwave Technol. 27, 967 (2009).
    [CrossRef]
  8. I. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 6th ed. (Academic, 2000).
  9. A. Mathai, R. K. Saxena, and H. J. Haubold, The H-Function: Theory and Applications (Springer, 2010).
  10. D. B. da Costa, M. D. Yacoub, and J. C. S. S. Filho, IEEE Trans. Wireless Commun. 7, 3301 (2008).
    [CrossRef]
  11. V. A. Aalo, T. Piboongungon, and C.-D. Iskander, IEEE Commun. Lett. 9, 139 (2005).
    [CrossRef]
  12. MATLAB Central, http://www.mathworks.com/matlabcentral/fileexchange/3572-gamma .

2011 (1)

K. Peppas, IEEE Photon. Technol. Lett. 23, 839 (2011).
[CrossRef]

2010 (1)

2009 (3)

W. O. Popoola and Z. Ghassemlooy, J. Lightwave Technol. 27, 967 (2009).
[CrossRef]

C. Castillo-Vazquez, A. Garcia-Zambrana, and B. Castillo-Vazquez, Electron. Lett. 23, 1125 (2009).
[CrossRef]

E. Bayaki, R. Schober, and R. Mallik, IEEE Trans. Commun. 57, 3415 (2009).
[CrossRef]

2008 (1)

D. B. da Costa, M. D. Yacoub, and J. C. S. S. Filho, IEEE Trans. Wireless Commun. 7, 3301 (2008).
[CrossRef]

2007 (1)

S. M. Navidpour, M. Uysal, and M. Kavehrad, IEEE Trans. Wireless Commun. 6, 2813 (2007).
[CrossRef]

2005 (1)

V. A. Aalo, T. Piboongungon, and C.-D. Iskander, IEEE Commun. Lett. 9, 139 (2005).
[CrossRef]

Aalo, V. A.

V. A. Aalo, T. Piboongungon, and C.-D. Iskander, IEEE Commun. Lett. 9, 139 (2005).
[CrossRef]

Bayaki, E.

E. Bayaki, R. Schober, and R. Mallik, IEEE Trans. Commun. 57, 3415 (2009).
[CrossRef]

Castillo-Vazquez, B.

C. Castillo-Vazquez, A. Garcia-Zambrana, and B. Castillo-Vazquez, Electron. Lett. 23, 1125 (2009).
[CrossRef]

Castillo-Vazquez, C.

C. Castillo-Vazquez, A. Garcia-Zambrana, and B. Castillo-Vazquez, Electron. Lett. 23, 1125 (2009).
[CrossRef]

Cheng, J.

da Costa, D. B.

D. B. da Costa, M. D. Yacoub, and J. C. S. S. Filho, IEEE Trans. Wireless Commun. 7, 3301 (2008).
[CrossRef]

Filho, J. C. S. S.

D. B. da Costa, M. D. Yacoub, and J. C. S. S. Filho, IEEE Trans. Wireless Commun. 7, 3301 (2008).
[CrossRef]

Garcia-Zambrana, A.

C. Castillo-Vazquez, A. Garcia-Zambrana, and B. Castillo-Vazquez, Electron. Lett. 23, 1125 (2009).
[CrossRef]

Ghassemlooy, Z.

Gradshteyn, I.

I. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 6th ed. (Academic, 2000).

Haubold, H. J.

A. Mathai, R. K. Saxena, and H. J. Haubold, The H-Function: Theory and Applications (Springer, 2010).

Holzman, J. F.

Iskander, C.-D.

V. A. Aalo, T. Piboongungon, and C.-D. Iskander, IEEE Commun. Lett. 9, 139 (2005).
[CrossRef]

Kavehrad, M.

S. M. Navidpour, M. Uysal, and M. Kavehrad, IEEE Trans. Wireless Commun. 6, 2813 (2007).
[CrossRef]

Mallik, R.

E. Bayaki, R. Schober, and R. Mallik, IEEE Trans. Commun. 57, 3415 (2009).
[CrossRef]

Mathai, A.

A. Mathai, R. K. Saxena, and H. J. Haubold, The H-Function: Theory and Applications (Springer, 2010).

Navidpour, S. M.

S. M. Navidpour, M. Uysal, and M. Kavehrad, IEEE Trans. Wireless Commun. 6, 2813 (2007).
[CrossRef]

Niu, M.

Osche, G. R.

G. R. Osche, Optical Detection Theory for Laser Applications (Wiley, 2002).

Peppas, K.

K. Peppas, IEEE Photon. Technol. Lett. 23, 839 (2011).
[CrossRef]

Piboongungon, T.

V. A. Aalo, T. Piboongungon, and C.-D. Iskander, IEEE Commun. Lett. 9, 139 (2005).
[CrossRef]

Popoola, W. O.

Ryzhik, I. M.

I. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 6th ed. (Academic, 2000).

Saxena, R. K.

A. Mathai, R. K. Saxena, and H. J. Haubold, The H-Function: Theory and Applications (Springer, 2010).

Schober, R.

E. Bayaki, R. Schober, and R. Mallik, IEEE Trans. Commun. 57, 3415 (2009).
[CrossRef]

Uysal, M.

S. M. Navidpour, M. Uysal, and M. Kavehrad, IEEE Trans. Wireless Commun. 6, 2813 (2007).
[CrossRef]

Yacoub, M. D.

D. B. da Costa, M. D. Yacoub, and J. C. S. S. Filho, IEEE Trans. Wireless Commun. 7, 3301 (2008).
[CrossRef]

Electron. Lett. (1)

C. Castillo-Vazquez, A. Garcia-Zambrana, and B. Castillo-Vazquez, Electron. Lett. 23, 1125 (2009).
[CrossRef]

IEEE Commun. Lett. (1)

V. A. Aalo, T. Piboongungon, and C.-D. Iskander, IEEE Commun. Lett. 9, 139 (2005).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

K. Peppas, IEEE Photon. Technol. Lett. 23, 839 (2011).
[CrossRef]

IEEE Trans. Commun. (1)

E. Bayaki, R. Schober, and R. Mallik, IEEE Trans. Commun. 57, 3415 (2009).
[CrossRef]

IEEE Trans. Wireless Commun. (2)

S. M. Navidpour, M. Uysal, and M. Kavehrad, IEEE Trans. Wireless Commun. 6, 2813 (2007).
[CrossRef]

D. B. da Costa, M. D. Yacoub, and J. C. S. S. Filho, IEEE Trans. Wireless Commun. 7, 3301 (2008).
[CrossRef]

J. Lightwave Technol. (1)

Opt. Express (1)

Other (4)

G. R. Osche, Optical Detection Theory for Laser Applications (Wiley, 2002).

MATLAB Central, http://www.mathworks.com/matlabcentral/fileexchange/3572-gamma .

I. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 6th ed. (Academic, 2000).

A. Mathai, R. K. Saxena, and H. J. Haubold, The H-Function: Theory and Applications (Springer, 2010).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (1)

Fig. 1.
Fig. 1.

ABEP of MIMO FSO systems employing IM/DD with OOK and operating over NE fading channels as a function of γ¯.

Tables (2)

Tables Icon

Table 1. Values of Parameters α, μ, and r^ for Different Configurations of Transmit and Receive Apertures

Tables Icon

Table 2. MATLAB Function for the ABEP Evaluation

Equations (13)

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

rn=ηsm=1MImn+vn,n=1,,N,
fImn(I)=exp(I),I0.
P¯be,MIMO=IfI(I)Q(ηMN2N0J(I))dI,
P¯be,SISO=1212exp(1γ¯)erfc(1γ¯),
fZn(z)=zM212Γ(M)exp(z),z>0.
E{Znk}=Γ(M+2k)Γ(M).
fR(r)αμμrαμ1r^αμΓ(μ)exp(μrαr^α).
Γ2(μ+1/α)Γ(μ)Γ(μ+2/α)Γ2(μ+1/α)=E2{R}E{R2}E2{R},
Γ2(μ+2/α)Γ(μ)Γ(μ+4/α)Γ2(μ+2/α)=E2{R2}E{R4}E2{R2},
r^=μ1αΓ(μ)E{R}Γ(μ+1α).
E{Rν}=j1=0νj2=0j1jN1=0jN2(νj1)(j1j2)(jN2jN1)×E{Z1νj1}E{Z1j1j2}E{ZNjN1},
P¯be,MIMOαμμ2πr^αμΓ(μ)0rαμ1exp(μrαr^α)×Γ(12,Sr2)dr,
P¯be,MIMO12πΓ(μ)H2,21,2[2μ1aSr^|(12,1),(1,1)(μ,1α),(0,1)].

Metrics