Two-way all-optical AF relaying FSO systems over Malaga (M) channels with pointing errors

Two-way transmission protocol is an efficient method to overcome the spectral loss incurred due to half-duplex communication. In this paper, we propose to implement two-way transmission in an amplify-and-forward (AF) relaying free-space optical (FSO) system utilizing an AF relay with optical amplifier. The performance of the proposed FSO system using subcarrier intensity modulation (SIM) with intensity modulation/direct detection (IM/DD) over independent but not necessarily identically distributed (i.n.i.d) Malaga (M) atmospheric turbulence channels in presence of pointing errors is studied. Exact closed-form expressions for the moment generating function (MGF) and cumulative distribution function (CDF) of the end-to-end signal-to-noise ratio (SNR) are obtained in terms of extended generalized bivariate Meijer's G-functions (EGBMGF). Capitalizing on these new results, we derive exact closed-form expressions for various performance metrics of the considered FSO system including the outage probability, the average bit error rate (ABER), and the ergodic achievable-rate. All analytical results are thoroughly confirmed by Monte-Carlo (M-C) simulations.

[1]  Prabhat Kumar Sharma,et al.  Relay Assisted Bi-directional Communication in Generalized Turbulence Fading , 2015, Journal of Lightwave Technology.

[2]  Parul Garg,et al.  Analysis of spectrally efficient two-way relay assisted free space optical systems in atmospheric turbulence with path loss , 2016, Int. J. Commun. Syst..

[3]  Mohamed-Slim Alouini,et al.  Performance Analysis of Free-Space Optical Links Over Málaga ($\mathcal{M} $) Turbulence Channels With Pointing Errors , 2018, IEEE Transactions on Wireless Communications.

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

[5]  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.

[6]  A. Jurado-Navas,et al.  Generation of Correlated Scintillations on Atmospheric Optical Communications , 2009, IEEE/OSA Journal of Optical Communications and Networking.

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

[8]  Mohamed-Slim Alouini,et al.  Digital Communication over Fading Channels: Simon/Digital Communications 2e , 2004 .

[9]  Xiaolin Zhou,et al.  Performance Analysis of a Two-Way Network-Coded Free Space Optical Relay Scheme over Strong Turbulence Channels , 2011, 2011 IEEE Vehicular Technology Conference (VTC Fall).

[10]  Parul Garg,et al.  Outage and Error Rate Analysis of Network-Coded Coherent TWR-FSO Systems , 2014, IEEE Photonics Technology Letters.

[11]  Gregory W. Wornell,et al.  Cooperative diversity in wireless networks: Efficient protocols and outage behavior , 2004, IEEE Transactions on Information Theory.

[12]  Parul Garg,et al.  Asymptotic Analysis of TWR Assisted FSO Links With Partial Dual-Relay Selection , 2015, IEEE Communications Letters.

[13]  Pingzhi Fan,et al.  Exact Performance of Two-Way AF Relaying in Nakagami-m Fading Environment , 2011, IEEE Transactions on Wireless Communications.

[14]  Fortunato Santucci,et al.  A unified framework for performance analysis of CSI-assisted cooperative communications over fading channels , 2009, IEEE Transactions on Communications.

[15]  Armin Wittneben,et al.  Spectral efficient protocols for half-duplex fading relay channels , 2007, IEEE Journal on Selected Areas in Communications.

[16]  Murat Uysal,et al.  Survey on Free Space Optical Communication: A Communication Theory Perspective , 2014, IEEE Communications Surveys & Tutorials.

[17]  George K. Karagiannidis,et al.  Partial Relay Selection With Outdated Channel State Estimation in Mixed RF/FSO Systems , 2015, Journal of Lightwave Technology.

[18]  Manilal Shah On generalizations of some results and their applications. , 1973 .

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

[20]  Kostas Peppas,et al.  A New Formula for the Average Bit Error Probability of Dual-Hop Amplify-and-Forward Relaying Systems over Generalized Shadowed Fading Channels , 2012, IEEE Wireless Communications Letters.

[21]  Parul Garg,et al.  Partial Dual-Relay Selection Protocols in Two-Way Relayed FSO Networks , 2015, Journal of Lightwave Technology.

[22]  Julian Cheng,et al.  Optical Communication Using Subcarrier Intensity Modulation in Strong Atmospheric Turbulence , 2012, Journal of Lightwave Technology.

[23]  Anh T. Pham,et al.  All-Optical Relaying FSO Systems Using EDFA Combined With Optical Hard-Limiter Over Atmospheric Turbulence Channels , 2015, Journal of Lightwave Technology.

[24]  Mohamed-Slim Alouini,et al.  Performance Analysis of Relay-Assisted All-Optical FSO Networks Over Strong Atmospheric Turbulence Channels With Pointing Errors , 2014, Journal of Lightwave Technology.

[25]  Prabhat Kumar Sharma,et al.  Bi-Directional Decode-XOR-Forward Relaying Over \(\mathcal {M}\) -Distributed Free Space Optical Links , 2014, IEEE Photonics Technology Letters.

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

[27]  Mohamed-Slim Alouini,et al.  A New Formula for the BER of Binary Modulations with Dual-Branch Selection over Generalized-K Composite Fading Channels , 2010, IEEE Transactions on Communications.

[28]  S. Hranilovic,et al.  All-Optical Multihop Free-Space Optical Communication Systems , 2011, Journal of Lightwave Technology.

[29]  George K. Karagiannidis,et al.  Two-Way Relay Selection in Multiple Relayed FSO Networks , 2015, IEEE Wireless Communications Letters.

[30]  Valentine A. Aalo,et al.  Channel capacity and average error rates in generalised-K fading channels , 2010, IET Commun..

[31]  Robert Schober,et al.  EDFA-Based All-Optical Relaying in Free-Space Optical Systems , 2012 .

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

[33]  Parul Garg,et al.  Bi-directional relay-assisted FSO communication systems over strong turbulence channels with pointing errors , 2017, Int. J. Commun. Syst..

[34]  Antonio Jurado-Navas,et al.  A Unifying Statistical Model for Atmospheric Optical Scintillation , 2011, 1102.1915.

[35]  Antonio Jurado-Navas,et al.  Impact of pointing errors on the performance of generalized atmospheric optical channels. , 2012, Optics express.