Abstract

The availability of Channel State Information (CSI) and the effects of channel memory on the capacities and the achievable rates of free-space optical communication channels are investigated. For memoryless channels, the capacities and achievable rates are computed and compared for both uniform and “positive” Gaussian inputs subject to different assumptions on the CSI availability. For the strong turbulence regime, it is shown that the knowledge of CSI both at the transmitter and the receiver increases the achievable rates for low-to-moderate Signal-to-Noise Ratios (SNRs) in comparison to the cases for which the CSI is known only at the receiver. For the weak turbulence regime however, the availability of CSI at both ends of the link does not provide any improvement over a system with CSI known at the receiver alone, and we find that a simple channel inversion technique suffices. In addition, for low SNRs, Pulse Amplitude Modulation (PAM) with $M \geq 4$ levels outperforms Gaussian-distributed inputs regardless of the knowledge of CSI at the transmitter. For high SNRs, a Gaussian distribution gives superior results, implying the need for new, more efficient positive signal constellations. For channels with memory and without knowledge of CSI, a change in the channel quasifrequency has negligible effects on the capacity for any turbulence regime.

© 2008 IEEE

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  1. G. Caire, S. Shamai, "On the capacity of some channels with channel state information," IEEE Trans. Inf. Theory 45, 2007-2019 (1999).
  2. J. A. Anguita, I. B. Djordjevic, M. A. Neifeld, B. V. Vasic, "Shannon capacities and error-correction codes for optical atmospheric turbulent channels," J. Opt. Netw. 4, 586-601 (2005).
  3. M. A. Al-Habash, 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).
  4. E. Biglieri, J. Proakis, S. Shamai, "Fading channels: Information-Theoretic and communications aspects," IEEE Trans. Inf. Theory 44, 2619-2692 (1998).
  5. T. H. Chan, S. Hranilovic, F. R. Kschischang, "Capacity-achieving probability measure for conditionally Gaussian channels with bounded inputs," IEEE Trans. Inf. Theory 51, 2073-2088 (2005).
  6. A. J. Goldsmith, P. P. Varaiya, "Capacity of fading channels with channel side information," IEEE Trans. Inf. Theory 43, 1986-1992 (1997).
  7. A. Farid, S. Hranilovic, "Upper and lower bounds on the capacity of wireless optical intensity channels," Proc. ISIT 2007 (2007).
  8. S. Hranilovic, F. R. Kschischang, "Capacity bounds for power- and band-limited optical intensity channels corrupted by Gaussian noise," IEEE Trans. Inf. Theory 50, 784-795 (2004).
  9. M. Mushkin, I. Bar-David, "Capacity and coding for the Gilbert-Elliot channels," IEEE Trans. Inf. Theory 35, 1277-1290 (1989).
  10. H. S. Wang, N. Moayeri, "Modeling, capacity and joint source/channel coding for rayleigh fading channels," Proc. 1993 43rd IEEE Veh. Technol. Conf. (1993) pp. 473-479.
  11. L. C. Andrews, R. L. Phillips, Laser Beam Propagation Through Random Media (SPIE Press, 2005).
  12. J. Li Tiffany, M. Uysal, "Optical wireless communications: System model, capacity and coding," Proc. 2003 58th IEEE Veh. Technol. Conf. (2003) pp. 168-172.
  13. M. Uysal, S. M. Navidpour, J. Li Tiffany, "Error rate performance of coded free-space optical links over strong turbulence channels," IEEE Commun. Lett. 8, 635-637 (2004).
  14. M. Uysal, J. Li Tiffany, M. Yu, "Error rate performance analysis of coded free-space optical links over gamma-gamma atmospheric turbulence channels," IEEE Trans. Wireless Commun. 5, 1229-1233 (2006).
  15. X. Zhu, J. M. Kahn, "Free-space optical communication through atmospheric turbulence channels," IEEE Trans. Commun. 50, 1293-1300 (2002).
  16. S. O. Rice, "The mathematical analysis of random noise," Bell Sys. Tech. J. 23, 282-332 (1944).

2006 (1)

M. Uysal, J. Li Tiffany, M. Yu, "Error rate performance analysis of coded free-space optical links over gamma-gamma atmospheric turbulence channels," IEEE Trans. Wireless Commun. 5, 1229-1233 (2006).

2005 (2)

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

T. H. Chan, S. Hranilovic, F. R. Kschischang, "Capacity-achieving probability measure for conditionally Gaussian channels with bounded inputs," IEEE Trans. Inf. Theory 51, 2073-2088 (2005).

2004 (2)

S. Hranilovic, F. R. Kschischang, "Capacity bounds for power- and band-limited optical intensity channels corrupted by Gaussian noise," IEEE Trans. Inf. Theory 50, 784-795 (2004).

M. Uysal, S. M. Navidpour, J. Li Tiffany, "Error rate performance of coded free-space optical links over strong turbulence channels," IEEE Commun. Lett. 8, 635-637 (2004).

2002 (1)

X. Zhu, J. M. Kahn, "Free-space optical communication through atmospheric turbulence channels," IEEE Trans. Commun. 50, 1293-1300 (2002).

2001 (1)

M. A. Al-Habash, 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).

1999 (1)

G. Caire, S. Shamai, "On the capacity of some channels with channel state information," IEEE Trans. Inf. Theory 45, 2007-2019 (1999).

1998 (1)

E. Biglieri, J. Proakis, S. Shamai, "Fading channels: Information-Theoretic and communications aspects," IEEE Trans. Inf. Theory 44, 2619-2692 (1998).

1997 (1)

A. J. Goldsmith, P. P. Varaiya, "Capacity of fading channels with channel side information," IEEE Trans. Inf. Theory 43, 1986-1992 (1997).

1989 (1)

M. Mushkin, I. Bar-David, "Capacity and coding for the Gilbert-Elliot channels," IEEE Trans. Inf. Theory 35, 1277-1290 (1989).

1944 (1)

S. O. Rice, "The mathematical analysis of random noise," Bell Sys. Tech. J. 23, 282-332 (1944).

Bell Sys. Tech. J. (1)

S. O. Rice, "The mathematical analysis of random noise," Bell Sys. Tech. J. 23, 282-332 (1944).

IEEE Trans. Commun. (1)

X. Zhu, J. M. Kahn, "Free-space optical communication through atmospheric turbulence channels," IEEE Trans. Commun. 50, 1293-1300 (2002).

IEEE Commun. Lett. (1)

M. Uysal, S. M. Navidpour, J. Li Tiffany, "Error rate performance of coded free-space optical links over strong turbulence channels," IEEE Commun. Lett. 8, 635-637 (2004).

IEEE Trans. Inf. Theory (2)

A. J. Goldsmith, P. P. Varaiya, "Capacity of fading channels with channel side information," IEEE Trans. Inf. Theory 43, 1986-1992 (1997).

G. Caire, S. Shamai, "On the capacity of some channels with channel state information," IEEE Trans. Inf. Theory 45, 2007-2019 (1999).

IEEE Trans. Inf. Theory (4)

E. Biglieri, J. Proakis, S. Shamai, "Fading channels: Information-Theoretic and communications aspects," IEEE Trans. Inf. Theory 44, 2619-2692 (1998).

T. H. Chan, S. Hranilovic, F. R. Kschischang, "Capacity-achieving probability measure for conditionally Gaussian channels with bounded inputs," IEEE Trans. Inf. Theory 51, 2073-2088 (2005).

S. Hranilovic, F. R. Kschischang, "Capacity bounds for power- and band-limited optical intensity channels corrupted by Gaussian noise," IEEE Trans. Inf. Theory 50, 784-795 (2004).

M. Mushkin, I. Bar-David, "Capacity and coding for the Gilbert-Elliot channels," IEEE Trans. Inf. Theory 35, 1277-1290 (1989).

IEEE Trans. Wireless Commun. (1)

M. Uysal, J. Li Tiffany, M. Yu, "Error rate performance analysis of coded free-space optical links over gamma-gamma atmospheric turbulence channels," IEEE Trans. Wireless Commun. 5, 1229-1233 (2006).

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," J. Opt. Netw. 4, 586-601 (2005).

Opt. Eng. (1)

M. A. Al-Habash, 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).

Other (4)

H. S. Wang, N. Moayeri, "Modeling, capacity and joint source/channel coding for rayleigh fading channels," Proc. 1993 43rd IEEE Veh. Technol. Conf. (1993) pp. 473-479.

L. C. Andrews, R. L. Phillips, Laser Beam Propagation Through Random Media (SPIE Press, 2005).

J. Li Tiffany, M. Uysal, "Optical wireless communications: System model, capacity and coding," Proc. 2003 58th IEEE Veh. Technol. Conf. (2003) pp. 168-172.

A. Farid, S. Hranilovic, "Upper and lower bounds on the capacity of wireless optical intensity channels," Proc. ISIT 2007 (2007).

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