Startseite Analytical Evaluation of Bit Error Rate Performance of a Free-Space Optical Communication System with Receive Diversity Impaired by Pointing Error
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

Analytical Evaluation of Bit Error Rate Performance of a Free-Space Optical Communication System with Receive Diversity Impaired by Pointing Error

  • A. K. M. Nazrul Islam EMAIL logo und S. P. Majumder
Veröffentlicht/Copyright: 14. März 2015
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

Analysis is carried out to evaluate the conditional bit error rate conditioned on a given value of pointing error for a Free Space Optical (FSO) link with multiple receivers using Equal Gain Combining (EGC). The probability density function (pdf) of output signal to noise ratio (SNR) is also derived in presence of pointing error with EGC. The average BER of a SISO and SIMO FSO links are analytically evaluated by averaging the conditional BER over the pdf of the output SNR. The BER performance results are evaluated for several values of pointing jitter parameters and number of IM/DD receivers. The results show that, the FSO system suffers significant power penalty due to pointing error and can be reduced by increasing in the number of receivers at a given value of pointing error. The improvement of receiver sensitivity over SISO is about 4 dB and 9 dB when the number of photodetector is 2 and 4 at a BER of 10–10. It is also noticed that, system with receive diversity can tolerate higher value of pointing error at a given BER and transmit power.

PACS® (2010).: 42.68.Bz, 42.68.Ge

Appendix-A

For MIMO, we derived

(18)SNR(hmn)=m=1Mn=1N(2RdPt)2σn2xhmn2

We can rewrite equation (18) as:

(19)SNR(ζmn)=m=1Mn=1Nζmn2

where,

ζmn=(2RdPt)σnxhmn=a.hmnand,a=2RdPtσnLet,y=ζmnandx=hmn
(20)f(y)dy=fx(x)dxf(y)=fx(x)dxdyx=f1(y)=ya=fxya.1a=γ2A0γ2xγ210<x<A0
(21)P(y)=γ2A0γ2yaγ1.1a
(22)P(ζmn)=γ2A0γ2ζmnaγ21.1awhere,γ=ωzeq2σs

Let,

(23)z=y22ydy=dzpzdz=pydydydz.p(y)=12y.p(y)where,y=f1(z)

Finally, we can derive,

(24)Pζmn2=12ζmn2.γ2A0γ2ζmn2aγ21.1a

References

1. ZhuX, KhanJM. Free-space optical communication through atmospheric turbulence channels. IEEE Trans Commun2002;50:1293300.10.1109/TCOMM.2002.800829Suche in Google Scholar

2. ShinEJ, ChanVWS. Optical communications over the turbulent atmospheric channels using spatial diversity. IEEE Conf GLOBECOM2002;3:205560.Suche in Google Scholar

3. KedarD, ArnonS. Urban optical wireless communication networks: the main challenges and possible solutions. IEEE J Mag2004;42:S2S7.10.1109/MCOM.2004.1299334Suche in Google Scholar

4. ArnonS. Effects of atmospheric turbulence and building sway on optical wireless-communication systems. Opt Lett2003;28:12931.10.1364/OL.28.000129Suche in Google Scholar PubMed

5. KedarD, ArnonS. Optical wireless communication through fog in the presence of pointing errors. Appl Opt2003;42:494654.10.1364/AO.42.004946Suche in Google Scholar PubMed

6. FaridAA, HranilovicS. Outage capacity optimization for free-space optical links with pointing error. J Light Wave Technol2007;25:170210.10.1109/JLT.2007.899174Suche in Google Scholar

7. TsiftsisTA, SandalidisHG, KaragiannidisGK, UysalM. BER performance of FSO links over strong atmospheric turbulence channels with pointing errors. IEEE Commun Lett2008;12:446.10.1109/LCOMM.2008.071408Suche in Google Scholar

8. BorahDK, VoelzDG. Pointing error effects on free-space optical communication links in the presence on atmospheric turbulence. J Light Wave Technol2009;27:396573.10.1109/JLT.2009.2022771Suche in Google Scholar

9. NavidpourSM, UysalM, KavehradM. BER performance of free-space optical transmission with spatial diversity. IEEE Trans Wireless Commun2007;6:281319.10.1109/TWC.2007.06109Suche in Google Scholar

10. TsiftsisTA, SandalidisHG, KaragiannidisGK, UysalM. Optical wireless links with spatial diversity over strong atmospheric turbulence channels. IEEE Commun Lett2009;8:9517.10.1109/TWC.2009.071318Suche in Google Scholar

11. BhuiyanTA, HasanMJ, TanzilSMS, MajumderSP. Performance improvement of IM-DD free space optical CDMA (Attenuated by strong atmospheric turbulence) with maximal ratio combining. In: 2010 International Conference on CICN, November 26–28, 2010: 5138.10.1109/CICN.2010.141Suche in Google Scholar

12. MoradiH, RefaiHH, LoPrestiPG, AtiquzzamanM. Diversity combining for mobile FSO nodes in SIMO setup. In:7th International Conference on IWCMC July 4–8, 2010: 22438.10.1109/IWCMC.2011.5982778Suche in Google Scholar

13. NoorNHM, NajiAW, Al-KhateebW. Theoretical analysis of multiple transmitters/receivers on the performance of free space optics (FSO) link. In: IEEE International Conference on IconSpace, July 12–13, 2011: 2915.10.1109/IConSpace.2011.6015903Suche in Google Scholar

14. MofidiM, Chaman-motiaghA. Error performance on SIMO and MISO FSO links over weak and strong turbulent channels. In: 8th International Symposium on CSNDSP, July 18–20, 2012:14.10.1109/CSNDSP.2012.6292670Suche in Google Scholar

15. TangX, ZhengyuanX, GhassemlooyZ. Coherent polarization modulated transmission through MIMO atmospheric optical turbulence channel. J Lightwave Technol2013;31:32218.10.1109/JLT.2013.2281216Suche in Google Scholar

16. HossainF, AfrozeZ. Eliminating the effect of fog attenuation on FSO link by multiple TX/RX system with travelling wave semiconductor optical amplifier. In: International Conference on ICAEE, December 19–21, 2013:2672.10.1109/ICAEE.2013.6750345Suche in Google Scholar

17. YangL, XiqiG, AlouiniMS. Performance analysis of free-space optical communication systems with multiuser diversity over atmospheric turbulence channels. Photonic J IEEE2014;6:7901217 (117).10.1109/JPHOT.2014.2311446Suche in Google Scholar

18. MoriamS, MajumderSP. Performance analysis of a MIMO FSO system in the presence of pointing errors. In: ICCCM-2011, Sydney, February 26–28, 2011.Suche in Google Scholar

19. IslamN, MajumderSP. Performance analysis of a free space optical link in the presence of pointing errors with space diversity. In: iCEEiC-2014, MIST, April 10–12, 2014. To be published in IEEE Xplore.Suche in Google Scholar

Received: 2014-7-6
Accepted: 2015-2-10
Published Online: 2015-3-14
Published in Print: 2015-6-1

©2015 by De Gruyter

Heruntergeladen am 5.11.2025 von https://www.degruyterbrill.com/document/doi/10.1515/joc-2014-0053/html?lang=de
Button zum nach oben scrollen