OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 16 — Aug. 6, 2007
  • pp: 10026–10032

LDPC-coded MIMO optical communication over the atmospheric turbulence channel using Q-ary pulse-position modulation

Ivan B. Djordjevic  »View Author Affiliations

Optics Express, Vol. 15, Issue 16, pp. 10026-10032 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (136 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We describe a coded power-efficient transmission scheme based on repetition MIMO principle suitable for communication over the atmospheric turbulence channel, and determine its channel capacity. The proposed scheme employs the Q-ary pulse-position modulation. We further study how to approach the channel capacity limits using low-density parity-check (LDPC) codes. Component LDPC codes are designed using the concept of pairwise-balanced designs. Contrary to the several recent publications, bit-error rates and channel capacities are reported assuming that p.i.n. photodetectors are used instead of ideal photon-counting receivers. The atmospheric turbulence channel is modeled using the Gamma-Gamma distribution function due to Al-Habash et al. Excellent bit-error rate performance improvement, over uncoded case, is found.

© 2007 Optical Society of America

OCIS Codes
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(060.4510) Fiber optics and optical communications : Optical communications

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: May 21, 2007
Revised Manuscript: July 20, 2007
Manuscript Accepted: July 20, 2007
Published: July 25, 2007

Ivan B. Djordjevic, "LDPC-coded MIMO optical communication over the atmospheric turbulence channel using Q-ary pulse-position modulation," Opt. Express 15, 10026-10032 (2007)

Sort:  Year  |  Journal  |  Reset  


  1. H. Willebrand, and B.S. Ghuman, Free-Space Optics: Enabling Optical Connectivity in Today’s Networks: Sams Publishing, 2002.
  2. S. G. Wilson, M. Brandt-Pearce, Q. Cao, and J.J.H. Leveque, III, "Free-space optical MIMO transmission with Q-ary PPM," IEEE Trans. Commun. 53, 1402-1412 (2005). [CrossRef]
  3. S. G. Wilson, M. Brandt-Pearce, Q. Cao, M. Baedke, "Optical repetition MIMO transmission with multipulse PPM," IEEE Selected Areas Comm. 23, 1901-1910 (2005). [CrossRef]
  4. M. 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]
  5. I. B. Djordjevic, B. Vasic, and M. A. Neifeld, "Power efficient LDPC-coded modulation for free-space optical communication over the atmospheric turbulence channel," in Proc. OFC 2007, Paper no. JThA46, March 25-29, 2007, Anaheim, CA, USA.
  6. I. B. Djordjevic, B. Vasic, M. A. Neifeld, "Multilevel coding in free-space optical MIMO transmission with Q-ary PPM over the atmospheric turbulence channel," IEEE Photon. Tehnol. Lett. 18, 1491-1493 (2006). [CrossRef]
  7. N. Cvijetic, S.G. Wilson, and M. Brandt-Pearce, "Receiver optimization in turbulent free-space optical MIMO channels with APDs and Q-ary PPM," IEEE Photon. Tehnol. Lett. 19, 1491-1493 (2007).
  8. G. Ungerboeck, "Channel coding with multilevel/phase signals," IEEE. Trans Inf. Theory 28, 55-67 (1982). [CrossRef]
  9. I. B. Djordjevic, S. Sankaranarayanan, S. K. Chilappagari, and B. Vasic, "Low-density parity-check codes for 40 Gb/s optical transmission systems," IEEE J. Sel. Top. Quantum Electron. 12, 555-562 (2006). [CrossRef]
  10. J. A. Anguita, I. B. Djordjevic, M.A. Neifeld, and B. V. Vasic, "Shannon capacities and error-correction codes for optical atmospheric turbulent channels," J. Opt. Networking 4, 586-601 (2005). [CrossRef]
  11. I. Anderson, Combinatorial Designs and Tournaments: Oxford University Press, 1997.
  12. G. Caire, G. Tarrico, E. Biglieri, "Bit-interleaved coded modulation," IEEE. Trans Inf. Theory 44, 927-946 (1998). [CrossRef]
  13. H. Imai, and S. Hirakawa, "A new multilevel coding method using error correcting codes," IEEE. Trans Inf. Theory IT-23, 371-377 (1977). [CrossRef]
  14. K. Simon, and V.A Vilnrotter, "Alamouti-type space-time coding for free-space optical communication with direct detection," IEEE Trans. Wireless Comm. 4, 35 - 39 (2005). [CrossRef]
  15. V. Tarokh, H. Jafarkani, and A. R. Calderbank, "Space-time block codes from orthogonal designs," IEEE. Trans Inf. Theory 45, 1456-1467 (1999). [CrossRef]
  16. I. B. Djordjevic, B. Vasic, and M. A. Neifeld, "LDPC coded OFDM over the atmospheric turbulence channel," Opt. Express 15, 6332-6346 (2007).
  17. I. B. Djordjevic, S. Denic, J. Anguita, B. Vasic, and M. A. Neifeld, "LDPC-Coded MIMO optical communication over the atmospheric turbulence channel," accepted for presentation at Globecom 2007.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1. Fig. 2. Fig. 3.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited