Information Theoretic Analysis of Hybrid-ARQ Protocols in Coherent Free-Space Optical Systems

Automatic retransmission request (ARQ) is a feedback-based data link layer technique which enhances the reliability of communication in fading channels. In this paper, we investigate the performance of hybrid-ARQ (H-ARQ) techniques in coherent free-space optical (FSO) communication systems over atmospheric turbulence-induced fading channels. Under the assumption of a Gamma-Gamma statistical fading channel model, we derive outage probability and throughput expressions for three H-ARQ protocols. We further characterize the outage performance at high values of signal-to-noise-ratio (SNR) through diversity and coding gains. Our results provide insight into the performance mechanisms of different H-ARQ protocols in coherent FSO systems and demonstrate that significant performance gains can be achieved through the deployment of H-ARQ particularly in the strong turbulence regime.

[1]  Gregory R. Osche Optical Detection Theory for Laser Applications , 2002 .

[2]  Mohamed-Slim Alouini,et al.  Coded Communication over Fading Channels , 2005 .

[3]  Arak M. Mathai,et al.  A handbook of generalized special functions for statistical and physical sciences , 1993 .

[4]  L. Andrews,et al.  Mathematical model for the irradiance probability density function of a laser beam propagating through turbulent media , 2001 .

[5]  Debbie Kedar,et al.  Urban optical wireless communication networks: the main challenges and possible solutions , 2004, IEEE Communications Magazine.

[6]  Lizhong Zheng,et al.  Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels , 2003, IEEE Trans. Inf. Theory.

[7]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[8]  H. Saunders,et al.  Probability, Random Variables and Stochastic Processes (2nd Edition) , 1989 .

[9]  V.W.S. Chan,et al.  Free-Space Optical Communications , 2006, Journal of Lightwave Technology.

[10]  G. Karagiannidis,et al.  Optical Wireless Communications With Heterodyne Detection Over Turbulence Channels With Pointing Errors , 2009, Journal of Lightwave Technology.

[11]  Sherman Karp,et al.  Optical Communications , 1976 .

[12]  Georgios B. Giannakis,et al.  A simple and general parameterization quantifying performance in fading channels , 2003, IEEE Trans. Commun..

[13]  Thomas R. Halford,et al.  Incremental redundancy hybrid ARQ protocol design for FSO links , 2009, MILCOM 2009 - 2009 IEEE Military Communications Conference.

[14]  Bernd S. W. Schröder Mathematical Analysis: A Concise Introduction , 2007 .

[15]  Ranjan K. Mallik,et al.  Performance analysis of MIMO free-space optical systems in gamma-gamma fading , 2009, IEEE Transactions on Communications.

[16]  Stephen B. Wicker,et al.  Applications of Error-Control Coding , 1998, IEEE Trans. Inf. Theory.

[17]  Kamran Kiasaleh,et al.  Hybrid ARQ for FSO Communications Through Turbulent Atmosphere , 2010, IEEE Communications Letters.

[18]  Joseph M. Kahn,et al.  Free-space optical communication through atmospheric turbulence channels , 2002, IEEE Trans. Commun..

[19]  M. Schwartz,et al.  Communication Systems and Techniques , 1996, IEEE Communications Magazine.

[20]  Giuseppe Caire,et al.  The throughput of hybrid-ARQ protocols for the Gaussian collision channel , 2001, IEEE Trans. Inf. Theory.

[21]  Murat Uysal,et al.  Relay-Assisted Free-Space Optical Communication , 2007, 2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers.

[22]  V.W.S. Chan,et al.  Diversity Coherent and Incoherent Receivers for Free-Space Optical Communication in the Presence and Absence of Interference , 2009, IEEE/OSA Journal of Optical Communications and Networking.

[23]  R. Wood Optical detection theory for laser applications , 2003 .

[24]  Daniel J. Costello,et al.  ARQ schemes for data transmission in mobile radio systems , 1984, IEEE Transactions on Vehicular Technology.

[25]  L. Andrews,et al.  Laser Beam Propagation Through Random Media , 1998 .

[26]  Ting Wang,et al.  Polarization-Multiplexed Optical Wireless Transmission With Coherent Detection , 2010, Journal of Lightwave Technology.

[27]  George K. Karagiannidis,et al.  On the Distribution of the Sum of Gamma-Gamma Variates and Applications in RF and Optical Wireless Communications , 2009, IEEE Transactions on Communications.

[28]  A. Roger Hammons,et al.  On the design of automatic repeat request protocols for turbulent free-space optical links , 2010, 2010 - MILCOM 2010 MILITARY COMMUNICATIONS CONFERENCE.

[29]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[30]  Ezio Biglieri,et al.  Coding for Wireless Channels , 2005 .