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Performance evaluation of AF-relayed mixed FSO/mm-wave-RF link modeled by generalized misalignment and RF fading distributions

  • Himanshu Khanna ORCID logo EMAIL logo
From the journal Frequenz

Abstract

The performance of a generalized mixed free-space-optical (FSO)/millimeter (mm)-wave radio-frequency (RF) two-hop link model is investigated in this work. The first-hop FSO channel considers the influence of path loss, atmospheric turbulence which is modeled by the gamma–gamma (GG)-distribution, and generalized misalignment errors which incorporate the effects of non-zero boresight errors, different jitter standard deviations along the horizontal and vertical directions, and correlation between the horizontal and vertical displacements. The second-hop RF link is modeled by an extended-generalized-K (EGK) distribution which is a versatile distribution and can characterize various fading conditions in mm-wave wireless channels where the transmission frequency is in excess of 60 GHz, and considers non-homogeneous propagation, interference effects due to multiuser transmission, multipath fading and shadowing effects observed in mm-wave RF wireless channels. The considered system employs fixed-gain amplify-and-forward (AF) relay-assisted transmission. The statistical characteristic for the end-to-end SNR, i.e., cumulative distribution function (cdf), is obtained for the considered system model in this work. Based on the obtained result for cdf, the outage and error performance is evaluated, and closed form expressions for the same are derived. The derived analytical results have been illustrated through numerical plots.


Corresponding author: Himanshu Khanna, Department of ECE, Maharaja Agrasen Institute of Technology, Delhi, India, E-mail:

  1. Author contribution: The entire author have accepted responsibility for the entire content of this submitted manuscript and approved submission. The citation of others’ work wherever required has been provided.

  2. Research funding: None declared.

  3. Conflict of interest statement: The author declares no conflicts of interest regarding this article.

References

[1] H. Khanna, M. Aggarwal, and S. Ahuja, “Optimum distance and power allocation strategies for quantum-limited inter-relayed FSO communication system,” AEU Int. J. Electron. Commun., vol. 80, pp. 10–18, 2017, https://doi.org/10.1016/j.aeue.2017.06.015.Search in Google Scholar

[2] H. Khanna, M. Aggarwal, and S. Ahuja, “Statistical characteristics and performance evaluation of FSO links with misalignment fading influenced by correlated sways,” AEU Int. J. Electron. Commun., vol. 85, pp. 118–125, 2018, https://doi.org/10.1016/j.aeue.2017.12.032.Search in Google Scholar

[3] P. V. Trinh, T. C. Thang, and A. T. Pham, “Mixed mmWave RF/FSO relaying systems over generalized fading channels with pointing errors,” IEEE J. Photon., vol. 9, no. 1, pp. 1–15, 2017, https://doi.org/10.1109/JPHOT.2016.2644964.Search in Google Scholar

[4] J. G. Andrews, S. Buzzi, W. Choi, et al., “What will 5G be?,” IEEE J. Sel. Area. Commun., vol. 32, no. 6, pp. 1065–1082, 2014, https://doi.org/10.1109/jsac.2014.2328098.Search in Google Scholar

[5] E. Lee, J. Park, D. Han, and G. Yoon, “Performance analysis of the asymmetric dual-hop relay transmission with mixed RF/FSO links,” IEEE Photon. Technol. Lett., vol. 23, no. 21, pp. 1642–1644, 2011, https://doi.org/10.1109/lpt.2011.2166063.Search in Google Scholar

[6] H. Samimi and M. Uysal, “End-to-end performance of mixed RF/FSO transmission systems,” IEEE/OSA J. Opt. Commun. Netw., vol. 5, no. 11, pp. 1139–1144, 2013, https://doi.org/10.1364/jocn.5.001139.Search in Google Scholar

[7] E. Zedini, H. Soury, and M. Alouini, “On the performance analysis of dual-hop mixed FSO/RF systems,” IEEE Trans. Wireless Commun., vol. 15, no. 5, pp. 3679–3689, 2016, https://doi.org/10.1109/twc.2016.2524685.Search in Google Scholar

[8] J. Zhao, S. H. Zhao, W. H. Zhao, et al., “Performance of mixed RF/FSO systems in exponentiated Weibull distributed channels,” Optic Commun., vol. 405, pp. 244–252, 2017, https://doi.org/10.1016/j.optcom.2017.07.015.Search in Google Scholar

[9] H. Khanna, M. Aggarwal, and S. Ahuja, “On the end-to-end performance of a mixed RF-FSO link with a decode and forward relay,” J. Opt. Commun., vol. 40, no. 3, pp. 323–332, 2017, https://doi.org/10.1515/joc-2017-0077.Search in Google Scholar

[10] H. Khanna, M. Aggarwal, and S. Ahuja, “Performance analysis of a variable-gain amplify-and-forward relayed mixed RF-FSO system,” Int. J. Commun. Syst. Wiley, vol. 31, no. 1, pp. 1–14, 2018, https://doi.org/10.1002/dac.3400.Search in Google Scholar

[11] H. Khanna, M. Aggarwal, and S. Ahuja, “Further results on the performance improvement in mixed RF-FSO systems using hybrid DF/AF (HDAF) relaying,” Trans. Emerg. Telecommun. Technol., vol. 29, no. 6, pp. 1–18, 2018, https://doi.org/10.1002/ett.3284.Search in Google Scholar

[12] H. Khanna, M. Aggarwal, and S. Ahuja, “A novel project-and-forward relay-assisted mixed RF-FSO system design and its performance evaluation,” Trans. Emerg. Telecommun. Technol., vol. 30, no. 5, pp. 1–17, 2019, https://doi.org/10.1002/ett.3584.Search in Google Scholar

[13] T. S. Rappaport, S. Sun, R. Mayzus, et al., “Millimeter wave mobile communications for 5G cellular: it will work!,” IEEE Access, vol. 1, pp. 335–349, 2013, https://doi.org/10.1109/access.2013.2260813.Search in Google Scholar

[14] F. Yilmaz and M. Alouini, “A new simple model for composite fading channels: Second order statistics and channel capacity,” in Proc. of the IEEE 7th International Symposium on Wireless Communication Systems, York, UK, IEEE, 2010, pp. 676–680.10.1109/ISWCS.2010.5624350Search in Google Scholar

[15] K. P. Peppas, “A new formula for the average bit error probability of dual-hop amplify-and-forward relaying systems over generalized shadowed fading channels,” IEEE Wireless Commun. Lett., vol. 1, no. 2, pp. 85–88, 2012, https://doi.org/10.1109/wcl.2012.012712.110092.Search in Google Scholar

[16] F. Yilmaz and M. Alouini, “A novel unified expression for the capacity and bit error probability of wireless communication systems over generalized fading channels,” IEEE Trans. Commun., vol. 60, no. 7, pp. 1862–1876, 2012, https://doi.org/10.1109/tcomm.2012.062512.110846.Search in Google Scholar

[17] J. A. Anastasov, G. T. Djordjevic, S. R. Panic, et al., “Evaluations of SSC diversity receiver over EGK fading channels,” Frequenz, vol. 68, nos 9–10, pp. 489–495, 2014, https://doi.org/10.1515/freq-2014-0019.Search in Google Scholar

[18] H. Soury and M. Alouini, “Symbol error rate of MPSK over EGK channels perturbed by a dominant additive Laplacian noise,” IEEE Trans. Commun., vol. 63, no. 7, pp. 2511–2523, 2015, https://doi.org/10.1109/tcomm.2015.2438813.Search in Google Scholar

[19] H. Soury, H. ElSawy, and M. Alouini, “Error rates of a full-duplex system over EGK fading channels subject to Laplacian interference,” in Proc. of the IEEE International Conf. on Communications (ICC), Paris, IEEE, 2017, pp. 1–7.10.1109/ICC.2017.7996883Search in Google Scholar

[20] K. Chaitanya and P. Muthuchidambaranathan, “Performance analysis of decode and forward relaying over dual-hop mixed fading channels,” AEU-Int. J. Electron. Commun., vol. 73, pp. 84–88, 2017, https://doi.org/10.1016/j.aeue.2016.12.026.Search in Google Scholar

[21] R. Boluda-Ruiz, A. García-Zambrana, B. Castillo-Vazquez, and C. Castillo-Vázquez, “On the effect of correlated sways on generalized misalignment fading for terrestrial FSO links,” IEEE Photon. J., vol. 9, no. 3, pp. 1–14, 2017, https://doi.org/10.1109/JPHOT.2017.2694707.Search in Google Scholar

[22] H. Khanna, “Performance Evaluation of FSO and Mixed RF-FSO Systems Using Various Relaying Protocols for Different Channel Conditions,” Ph.D. Thesis, Haryana, India, The NorthCap University, 2020, http://hdl.handle.net/10603/273170.Search in Google Scholar

[23] A. M. Mathai, R. K. Saxena, and H. J. Haubold, The H-Function: Theory and Applications, New York, U.S.A., Springer, 2010.10.1007/978-1-4419-0916-9Search in Google Scholar

[24] A. A. Kilbas and M. Saigo, H-Transforms: Theory and Applications, Series: Analytical Methods and Special Functions, 1st ed. Florida, U.S.A., CRC Press, 2004.Search in Google Scholar

[25] M. A. Chaudhry and S. M. Zubair, “Extended incomplete gamma functions with applications,” J. Math. Anal. Appl., vol. 274, no. 2, pp. 725–745, 2002, https://doi.org/10.1016/s0022-247x(02)00354-2.Search in Google Scholar

[26] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th ed. San Diego, CA, USA, Academic Press, 2007.Search in Google Scholar

[27] P. K. Mittal and K. C. Gupta, “An integral involving generalized function of two variables,” in Proc. of the Indian Academy of Sciences-Section A, vol. 75, India, Springer India, 1972, pp. 117–123, https://doi.org/10.1007/BF03049732.Search in Google Scholar

[28] A. P. Prudnikov, Y. A. Brychkov, and O. I. Marichev, Integrals and Series, vol. 3, Philadelphia, U.S.A., Gordon & Breach, 1990.Search in Google Scholar

Received: 2020-04-06
Accepted: 2020-09-16
Published Online: 2020-10-07
Published in Print: 2021-01-27

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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