Abstract

In this paper, coded multiple-input–multiple-output (MIMO) communication schemes for data transmission over the optical atmospheric turbulence channels are studied. Two strategies are proposed and compared. The first is based on repetition coding, and the second on space–time (ST) coding. Both approaches employ low-density parity-check (LDPC) codes. The LDPC codes are designed using the concept of pairwise balanced design (PBD), balanced incomplete block design (BIBBD), and block–circulant (array) codes. To improve the spectral efficiency, we employ a bit-interleaved (BI) LDPC-coded modulation based on the pulse amplitude modulation (PAM). A better bit error rate (BER) performance is achieved by the iteration of extrinsic information between a demapper and LDPC decoder. The simulations show that the LDPC-coded MIMO schemes can operate under a strong atmospheric turbulence and at the same time provide excellent coding gains compared with the transmission of uncoded data. To verify the efficiency of the proposed coding schemes, achievable information rates are computed when the turbulence is modeled by a gamma–gamma distribution.

© 2008 IEEE

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  2. S. G. Wilson, M. Brandt-Pearce, Q. Cao, J. J. H. Leveque, III"Free-space optical MIMO transmission with Q-ary PPM," IEEE Trans. Comm. 53, 1402-1412 (2005).
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  17. J. L. Fan, "Array codes as low-density parity-check codes," Proc. 2nd Int. Symp. Turbo Codes Related Topics (2000) pp. 543-546.
  18. I. B. Djordjevic, B. Vasic, M. A. Neifeld, "LDPC coded OFDM over the atmospheric turbulence channel," Opt. Express 15, 6332-6346 (2007).
  19. J. G. Proakis, Digital Communications (McGraw-Hill, 2001).

2007 (2)

N. Cvijetic, S. G. Wilson, 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).

I. B. Djordjevic, B. Vasic, M. A. Neifeld, "LDPC coded OFDM over the atmospheric turbulence channel," Opt. Express 15, 6332-6346 (2007).

2006 (1)

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).

2005 (4)

J. A. Anguita, I. B. Djordjevic, M. A. Neifeld, B. V. Vasic, "Shannon capacities and error–correction codes for optical atmospheric turbulent channels," OSA J. Opt. Netw. 4, 586-601 (2005).

S. G. Wilson, M. Brandt-Pearce, Q. Cao, J. J. H. Leveque, III"Free-space optical MIMO transmission with Q-ary PPM," IEEE Trans. Comm. 53, 1402-1412 (2005).

S. G. Wilson, M. Brandt-Pearce, Q. Cao, M. Baedke, "Optical repetition MIMO transmission with multipulse PPM," IEEE J. Sel. Areas Comm. 23, 1901-1910 (2005).

K. Simon, V. A. Vilnrotter, "Alamouti-type space-time coding for free-space optical communication with direct detection," IEEE Trans. Wireless Commun. 4, 35-39 (2005).

2004 (1)

O. Milenkovic, I. B. Djordjevic, B. Vasic, "Block-circulant low-density parity-check codes for optical communication systems," IEEE J. Sel. Topics Quantum Electron. 10, 294-299 (2004).

2001 (1)

M. A. Al-Habash, L. C. Andrews, 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).

2000 (1)

S. ten Brink, "Designing iterative decoding schemes with the extrinsic information transfer chart," AEÜ Int. J. Electron. Commun. 54, 389-398 (2000).

1999 (2)

E. Telatar, "Capacity of multi-antena Gaussian channels," Eur. Trans. Telecomm. 10, 585-595 (1999).

V. Tarokh, H. Jafarkani, A. R. Calderbank, "Space-time block codes from orthogonal designs," IEEE Trans. Inf. Theory 45, 1456-1467 (1999).

1998 (1)

S. M. Alamouti, "A simple transmit diversity technique for wireless communications," IEEE J. Sel. Areas Commun. 16, 1451-1458 (1998).

1996 (1)

G. J. Foschini, "Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas," Bell Labs Tech. J. 1, 41-59 (1996).

1982 (1)

G. Ungerboeck, "Channel coding with multilevel/phase signals," IEEE Trans. Inf. Theory IT-28, 55-67 (1982).

AEÜ Int. J. Electron. Commun. (1)

S. ten Brink, "Designing iterative decoding schemes with the extrinsic information transfer chart," AEÜ Int. J. Electron. Commun. 54, 389-398 (2000).

Bell Labs Tech. J. (1)

G. J. Foschini, "Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas," Bell Labs Tech. J. 1, 41-59 (1996).

Eur. Trans. Telecomm. (1)

E. Telatar, "Capacity of multi-antena Gaussian channels," Eur. Trans. Telecomm. 10, 585-595 (1999).

IEEE J. Sel. Areas Commun. (1)

S. M. Alamouti, "A simple transmit diversity technique for wireless communications," IEEE J. Sel. Areas Commun. 16, 1451-1458 (1998).

IEEE J. Sel. Areas Comm. (1)

S. G. Wilson, M. Brandt-Pearce, Q. Cao, M. Baedke, "Optical repetition MIMO transmission with multipulse PPM," IEEE J. Sel. Areas Comm. 23, 1901-1910 (2005).

IEEE J. Sel. Topics Quantum Electron. (1)

O. Milenkovic, I. B. Djordjevic, B. Vasic, "Block-circulant low-density parity-check codes for optical communication systems," IEEE J. Sel. Topics Quantum Electron. 10, 294-299 (2004).

IEEE Photon. Tehnol. Lett. (1)

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).

IEEE Photon. Tehnol. Lett. (1)

N. Cvijetic, S. G. Wilson, 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).

IEEE Trans. Comm. (1)

S. G. Wilson, M. Brandt-Pearce, Q. Cao, J. J. H. Leveque, III"Free-space optical MIMO transmission with Q-ary PPM," IEEE Trans. Comm. 53, 1402-1412 (2005).

IEEE Trans. Inf. Theory (2)

V. Tarokh, H. Jafarkani, A. R. Calderbank, "Space-time block codes from orthogonal designs," IEEE Trans. Inf. Theory 45, 1456-1467 (1999).

G. Ungerboeck, "Channel coding with multilevel/phase signals," IEEE Trans. Inf. Theory IT-28, 55-67 (1982).

IEEE Trans. Wireless Commun. (1)

K. Simon, V. A. Vilnrotter, "Alamouti-type space-time coding for free-space optical communication with direct detection," IEEE Trans. Wireless Commun. 4, 35-39 (2005).

Opt. Express (1)

I. B. Djordjevic, B. Vasic, M. A. Neifeld, "LDPC coded OFDM over the atmospheric turbulence channel," Opt. Express 15, 6332-6346 (2007).

Opt. Eng. (1)

M. A. Al-Habash, L. C. Andrews, 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).

OSA J. Opt. Netw. (1)

J. A. Anguita, I. B. Djordjevic, M. A. Neifeld, B. V. Vasic, "Shannon capacities and error–correction codes for optical atmospheric turbulent channels," OSA J. Opt. Netw. 4, 586-601 (2005).

Other (4)

H. Willebrand, B. S. Ghuman, Free-Space Optics: Enabling Optical Connectivity in Today's Networks (Sams Publishing, 2002).

J. G. Proakis, Digital Communications (McGraw-Hill, 2001).

J. L. Fan, "Array codes as low-density parity-check codes," Proc. 2nd Int. Symp. Turbo Codes Related Topics (2000) pp. 543-546.

I. Anderson, Combinatorial Designs and Tournaments (Oxford Univ. Press, 1997).

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