Impact of Finite-Sized Aperture on the Performance of Differential Multihop DF-FSO Network
Abstract
This paper investigates the differential binary modulation for decode-and-forward (DF) based relay-assisted free space optical (FSO) network under the effect of strong atmospheric turbulence together with misalignment error (ME). The atmospheric fading links experience K-distributed turbulence. First we derive novel closed form expression for average bit error rate (BER) and outage probability (OP) in terms of Meijer’s G function. Further, the OP of differential DF-FSO system with multiple relays is derived. We also analyze the asymptotic performance for the sake of getting the order of diversity and the coding gain. The power allotment term is utilized to examine the effect of different power allotment techniques on BER and OP. The simulation results have been used to validate the derived analytical results.References
H. Kaushal and G. Kaddoum, “Optical communication in
Space:challenges and mitigation techniques”, IEEE Commun.
Surveys and Tutorials, 19(1), 57-96, 2017.
D. Agarwal and A. Bansal, “Unified Error Performance of
a Multihop DF-FSO Network With Aperture Averaging”,
IEEE/OSA J. Opt. Commun. Netw., 11(3), 95-106, 2019.
X. Tang, Z. Wang, Z. Xu and Z. Ghassemlooy, “Multihop freespace optical communications over turbulence channels with
pointing errors using heterodyne detection”, Journal of Lightwave Technology, 32(15), 2597-2604, 2014.
W. Gappmair, “Further results on the capacity of free-space optical channels in turbulent atmosphere”, IET Communications,
(9), 1262-1267, 2011.
N. Sharma, A. bansal and P. garg, “Decode and forward relaying
in η − µ and Gamma-Gamma dual hop transmission system”,
IET Communications, 1769-1776, 2016.
M. Safari and M. Uysal, “Relay-assisted free-space optical
communication”, IEEE Trans. Wireless Commun., 7(12), 5441-
, 2008.
D. Agarwal and A. Bansal, “Partial CSI based relay selection
for TWR-FSO over unified exponentiated Weibull links”, in
proc. IEEE International Conference on Signal Processing and
Communications (SPCOM), Bangalore, India, 497-501, 2019.
T. Himsoon, W. Su and K. J. R. Liu, “Differential transmission
for amplify-and-forward cooperative communications”, IEEE
Signal Process.Lett., 12(9), 597-600, 2006.
D. Agarwal and A. Bansal, “STPM based performance analysis of finite-sized differential serial FSO network”, in Proc.
National Conference on Communications (NCC),1-6, 2020.
W. O.Popoola and Z. Ghassemlooy, “BPSK subcarrier intensity
modulated free-space optical communications in atmospheric
turbulence”, J. Lightw. Technol., 27(8), 967-973, 2009.
P. Yadav, S. Kumar and R. Kumar, “A Review of Transmission
Rate over Wireless Fading Channels: Classifications, Applications, and Challenges”, Wireless Pers Commun., 32(9), 1-8,
E. Jakeman and P. N. Pusey, “A model for non-Rayleigh sea
echo.” IEEE Transactiion on Antennas Propagation, 24, 806-
, 1976.
Kiasaleh., “Performance of coherent DPSK free-space optical
communication systems in K-distributed turbulence”, IEEE
Trans. Commun., 54(4), 604-607, 2006.
M. Uysal and J. T. Li, “BER performance of coded freespace optical links over strong turbulence channels”, in Proc.
IEEE Vehicular Technological Conference (VTC spring), 168-
, 2009.
G. K. Karagiannidis, T. A. Tsiftsis and H. G. Sandalidis, “Outage probability of relayed free space optical communication
systems”, Electron. Lett., 42(17), 994-995, 2006.
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series
and Products, 6th ed. San Diego, CA, USA: Academic Press,
V. S. Adamchik and O. I. Marichev, “The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system.”, in Proc. International Conference
on Symbolic and Algebraic Computation, 212-224, 1990.
A.P. Prudnikov, Yu. A. Brychkov and O. I. Marichev, Integrals
and Series: More Special Functions , Gordon and Breach Science Publishers, vol. 3, 1990.
K. H. Biyari and W. C. Lindsey, “Statistical distributions of
hermitian quadratic forms in complex Gaussian variables”,
IEEE Trans. Inf. Theory, 39(3), 1076-1082, 1993.
M. R. Bhatnagar, “Decode-and-forward based differential modulation for cooperative communication system with unitary and
non-unitary constellations”, IEEE Trans. Veh. Technol., 61(1),
-165, 2012.
I. Wolfram Research., Mathematica Edition: Version 8.0. Wolfram Research,Inc., 2010.
J. G. Proakis and M. Salehi, Digital Communications, 5th
edition. McGraw-Hill Book Company, 2008.
Downloads
Published
Issue
Section
License
Copyright (c) 2022 International Journal of Electronics and Telecommunications
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
1. License
The non-commercial use of the article will be governed by the Creative Commons Attribution license as currently displayed on https://creativecommons.org/licenses/by/4.0/.
2. Author’s Warranties
The author warrants that the article is original, written by stated author/s, has not been published before, contains no unlawful statements, does not infringe the rights of others, is subject to copyright that is vested exclusively in the author and free of any third party rights, and that any necessary written permissions to quote from other sources have been obtained by the author/s. The undersigned also warrants that the manuscript (or its essential substance) has not been published other than as an abstract or doctorate thesis and has not been submitted for consideration elsewhere, for print, electronic or digital publication.
3. User Rights
Under the Creative Commons Attribution license, the author(s) and users are free to share (copy, distribute and transmit the contribution) under the following conditions: 1. they must attribute the contribution in the manner specified by the author or licensor, 2. they may alter, transform, or build upon this work, 3. they may use this contribution for commercial purposes.
4. Rights of Authors
Authors retain the following rights:
- copyright, and other proprietary rights relating to the article, such as patent rights,
- the right to use the substance of the article in own future works, including lectures and books,
- the right to reproduce the article for own purposes, provided the copies are not offered for sale,
- the right to self-archive the article
- the right to supervision over the integrity of the content of the work and its fair use.
5. Co-Authorship
If the article was prepared jointly with other authors, the signatory of this form warrants that he/she has been authorized by all co-authors to sign this agreement on their behalf, and agrees to inform his/her co-authors of the terms of this agreement.
6. Termination
This agreement can be terminated by the author or the Journal Owner upon two months’ notice where the other party has materially breached this agreement and failed to remedy such breach within a month of being given the terminating party’s notice requesting such breach to be remedied. No breach or violation of this agreement will cause this agreement or any license granted in it to terminate automatically or affect the definition of the Journal Owner. The author and the Journal Owner may agree to terminate this agreement at any time. This agreement or any license granted in it cannot be terminated otherwise than in accordance with this section 6. This License shall remain in effect throughout the term of copyright in the Work and may not be revoked without the express written consent of both parties.
7. Royalties
This agreement entitles the author to no royalties or other fees. To such extent as legally permissible, the author waives his or her right to collect royalties relative to the article in respect of any use of the article by the Journal Owner or its sublicensee.
8. Miscellaneous
The Journal Owner will publish the article (or have it published) in the Journal if the article’s editorial process is successfully completed and the Journal Owner or its sublicensee has become obligated to have the article published. Where such obligation depends on the payment of a fee, it shall not be deemed to exist until such time as that fee is paid. The Journal Owner may conform the article to a style of punctuation, spelling, capitalization and usage that it deems appropriate. The Journal Owner will be allowed to sublicense the rights that are licensed to it under this agreement. This agreement will be governed by the laws of Poland.
By signing this License, Author(s) warrant(s) that they have the full power to enter into this agreement. This License shall remain in effect throughout the term of copyright in the Work and may not be revoked without the express written consent of both parties.