Ergodic capacity and outage capacity analysis for multiple-input single-output free-space optical communications over composite channels

Abstract. Free-space optical (FSO) communications have attracted significant attention recently. The ergodic capacity and outage capacity of a multiple-input single-output FSO communication system are investigated. Initially, a composite channel model including distance-dependant atmospheric loss, pointing error, and atmospheric turbulence is derived. To show different weather conditions, both the weak and strong atmospheric turbulence conditions are taken into account. Moreover, the statistical characteristics of two composite channels (i.e., weak turbulence composite channels and strong turbulence composite channels) are provided. Furthermore, approximated expressions of the ergodic capacity and closed-form expressions of the outage capacity are derived under the two composite channels, respectively. Numerical results finally substantiate that the derived theoretical expressions can provide a very good approximation to the simulation results.

[1]  Jie Zhang,et al.  Network planning for distributed antenna‐based high‐speed railway mobile communications , 2014, Trans. Emerg. Telecommun. Technol..

[2]  Ming Chen,et al.  Outage Capacity Study of the Distributed MIMO System with Antenna Cooperation , 2011, Wirel. Pers. Commun..

[3]  Joseph M. Kahn,et al.  Performance bounds for coded free-space optical communications through atmospheric turbulence channels , 2003, IEEE Trans. Commun..

[4]  Ming Sheng,et al.  End-to-end average BER analysis for multihop free-space optical communications with pointing errors , 2013 .

[5]  Zhen Liu,et al.  Research and Implementation of an AAA System for Railway WiMAX Communication Networks , 2011 .

[6]  Hervé Sizun,et al.  Fog attenuation prediction for optical and infrared waves , 2004 .

[7]  Joseph Lipka,et al.  A Table of Integrals , 2010 .

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

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

[10]  S. Hranilovic,et al.  Outage Capacity Optimization for Free-Space Optical Links With Pointing Errors , 2007, Journal of Lightwave Technology.

[11]  Hong Guo,et al.  Capacities for Long-Distance Free-Space Optical Links Under Beam Wander Effects , 2010, IEEE Photonics Technology Letters.

[12]  Katsutoshi Tsukamoto,et al.  Transmission analysis of digital TV signals over a Radio-on-FSO channel , 2011, IEEE Communications Magazine.

[13]  Murat Uysal,et al.  Error rate performance analysis of coded free-space optical links over gamma-gamma atmospheric turbulence channels , 2006, IEEE Transactions on Wireless Communications.

[14]  Jing Li,et al.  Optical wireless communications: system model, capacity and coding , 2003, 2003 IEEE 58th Vehicular Technology Conference. VTC 2003-Fall (IEEE Cat. No.03CH37484).

[15]  D. Owen Handbook of Mathematical Functions with Formulas , 1965 .

[16]  George K. Karagiannidis,et al.  BER Performance of FSO Links over Strong Atmospheric Turbulence Channels with Pointing Errors , 2008, IEEE Communications Letters.

[17]  Murat Uysal,et al.  Error rate performance of coded free-space optical links over strong turbulence channels , 2004, IEEE Communications Letters.

[18]  George S. Tombras,et al.  Performance analysis of free-space optical communication systems over atmospheric turbulence channels , 2009, IET Commun..

[19]  Ivan B. Djordjevic,et al.  Shannon capacities and error-correction codes for optical atmospheric turbulent channels , 2005 .

[20]  Charles W. Therrien,et al.  Probability and Random Processes for Electrical and Computer Engineers , 2011 .

[21]  T. Tsiftsis,et al.  Outage probability and ergodic capacity of free-space optical links over strong turbulence , 2008 .

[22]  Jeffrey H. Shapiro,et al.  Capacity of wireless optical communications , 2003, IEEE J. Sel. Areas Commun..

[23]  Changming Zhang,et al.  GLRT Approach for Robust Burst Packet Acquisition in Wireless Communications , 2013, IEEE Transactions on Wireless Communications.

[24]  Wilfried Gappmair Further results on the capacity of free-space optical channels in turbulent atmosphere , 2011, IET Commun..

[25]  Victor Adamchik,et al.  The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system , 1990, ISSAC '90.

[26]  Zabih Ghassemlooy,et al.  Optical Communications Slot error rate performance of DH-PIM with symbol retransmission for optical wireless links , 2009, Eur. Trans. Telecommun..

[27]  Jeffrey G. Andrews,et al.  Multi-Mode Transmission for the MIMO Broadcast Channel with Imperfect Channel State Information , 2009, IEEE Transactions on Communications.

[28]  Min Feng,et al.  Outage Performance for Parallel Relay Free-Space Optical Communications with Pointing Errors over Weak Turbulence Channel , 2012 .