Abstract
High-altitude platforms are one of the most promising alternative infrastructures for realizing next generation high data rate wireless networks. This paper presents a three-dimensional (3-D) scattering model for land mobile stratospheric multipath-fading channel with its complex faded envelope. From the scattering model and the complex envelope second-order statistics are derived for a 3-D non-isotropic scattering environment. When we discuss on the second-order statistics we refer to the level crossing rate and the average fade duration, whichare two main parameters in describing the fading severity over time and are very important in assess system characteristics such as hand off, velocities of the transmitter and receiver and fading rate. Numerical calculations have been carried out to demonstrate theoretical derivations and the utility of the proposed model.
Similar content being viewed by others
Abbreviations
- 3-D:
-
Three-dimensional
- AAoA:
-
Azimuth angle of arrival
- AAoD:
-
Azimuth angle of departure
- AFD:
-
Average fade duration
- CDF:
-
Cumulative distribution function
- GBSB:
-
Geometry based single bounce
- HAP:
-
High-altitude platform
- LCR:
-
Level crossing rate
- LoS:
-
Line-of-sight
- MIMO:
-
Multiple-input multiple-output
- NLoS:
-
Non-line-of-sight
- pdf:
-
Probability density function
- PDP:
-
Power delay profile
- SBS:
-
Stratospheric base station
- SISO:
-
Single-input single-output
- TMS:
-
Terrestrial mobile station
References
Karapantazis, S., & Pavlidou, F. (2005). Broadband communications via high-altitude platforms: A survey. IEEE Communications Society Surveys & Tutorials, 7(1), 2–32.
Tozer, T. C., & Grace, D. (2001). High altitude platforms for wireless communications. IEEE Electronics & Communication Engineering Journal, 13(3), 127–7.
Mondin, M., Dovis, F., & Mulassano, P. (2001). On the use of HALE platforms as GSM base stations. IEEE Personal Communications, 8(2), 37–44.
Ahmed, B. T., Ramon, M. C., & Ariet, L. H. (2006). On the UMTS-HSDPA in high altitude platforms (HAPs) communications. In Proceedings of the 3rd ISWCS (pp. 704–708). Valencia, Spain
(1997) Preferred characteristics of systems in the fixed service using high altitude platforms operating in the bands 47.2-47.5 GHz and 47.9-49.2 GHz. Geneva, Switzerland: International Telecommunication Union, ITU-R resolution 122.
(2000). Technical and operational characteristics for the fixed service using high altitude platform stations in the frequency range 18–32 GHz. Geneva, Switzerland: International Telecommunication Union, ITU-R f.[9B/Ka-HAPS].
(2005). Air interface for fixed and mobile broadband wireless access systems-amendment for physical and medium access control layers for combined fixed and mobile operation in licensed band. IEEE Std. 802.16e-2005.
Khazaei, A. A., & Azmi, P. (2013). A new approach of channel modeling in HAPS based networks and their system performance analysis. Wireless Personal Communications, 70, 69–84.
Michailidis, E. T., & Kanatas, A. G. (2010). Three-dimensional HAP-MIMO channels: Modeling and analysis of space-time correlation. IEEE Transaction on Vehicular Technology, 59(5), 2232–2242.
Michailidis, E., Efthymoglou, G., & Kanatas, A. (2008). Spatially correlated3-D HAP-MIMO fading channels. In Proceedings of the IEEE Globecom workshop (pp. 1–7). New Orleans, LA.
Zajic, A. G., Stüber, G. L., Pratt, T. G., & Nguyen, S. (2008). Envelope level crossing rate and average fade duration in mobile-to-mobile fading channels. In IEEE Communications Society subject matter experts for publication in the ICC 2008 proceedings.
Maurer, J., Fuügen, T., & Wiesbeck, W., (2002). Narrow-band measurement and analysis of the inter-vehicle transmission channel at 5.2 GHz. In Proceedings of the IEEE VTC (pp. 1274–1278). Birmingham, AL, USA.
Pätzold, M., Killat, U., & Laue, F. (1998). An extended Suzuki model for land mobile satellite channels and its statistical properties. IEEE Transactions on Vehicular Technology, 47, 617–30.
Yang, Y., Zong, R., Gao, X., & Cao, J. (2010). Channel modeling for high-altitude platform: A review. International symposium on intelligent signal processing and communication systems (lSPACS 2010) December 6–8, 2010.
Cuevas-Ruiz, J. L., & Delgado, J. A. (2004). A statistical switched broadband channel model for HAPs links. In IEEE wireless communications and networking conference, (Vol. 1, pp. 290–294).
Cuevas-Ruiz, J. L., & Delgado-Penin, J. A. (2004). Channel model based on semi-Markovian processes an approach for HAPS systems. In The 14th Int’l conference on electronics, communications and computers pp. 52–56.
Loo, C. (1985). A statistical model for a land mobile satellite link. IEEE Trans Vehicular Technology, 34, 122–127.
Bo, Z., Qinghua, R., Yunjiang, L., Zhenyong, C., & Feng, Z. (2007). Characteristic and simulation of the near space communication channel, Int’l symposium on microwave antenna, propagation and EMC technologies for wireless communications (pp. 769–773)
Ulloa-Vasquez, F., & Delgado-Penin, J. A., (2002). Performance simulation in high altitude platforms (HAPs) communications systems. In Proceedings of data systems in aerospace, pp. 92–9092.
Iskandar & Shimamoto, S. (2005). The channel characterization and performance evaluation of mobile communication employing stratospheric platform. IEEE/ACES Int’l conference on wireless communications and applied computational electromagnetic pp. 828–831.
Iskandar & Putro, D. R. (2008). Performance evaluation of broadband WiMAX Services over high altitude platforms (HAPs) communication channel. The fourth Int’l conference on wireless and mobile, communications, pp. 55–59.
Dovis, F., Fantini, R., Mondin, M., & Savi, P. (2001). 4G communications based on high altitude stratospheric platforms: Channel modeling and performance evaluation. IEEE Global Telecommunications Conference, 1, 557–561.
Dovis, F., Fantini, R., Mondin, M., & Savi, P. (2002). Small-scale fading for high-altitude platform (HAP) propagation channels. IEEE Journal on Selected Areas in Communications, 20, 641–7.
Liberti, J. C., & Rappaport, T. S. (1996). A geometrically based model for line-of-sight multipath radio channels. IEEE 46th Vehicular Technology Conference, Vol. 2, pp. 844–848.
Cuevas-Ruiz, J. L., Aragon-Zavala, A., Medina-Acosta, G. A., & Delgado-Penin, J. A. (2009). Multipath propagation model for high altitude platform (HAP) based on circular straight cone geometry. Int’l workshop on satellite and space communications, pp. 235–239.
Stüber, G. L. (2011). Principle of mobile communication (3rd ed.). Berlin: Springer Science and Business Media.
Jakes, W. C. (1994). Microwave mobile communications (2nd ed.). NJ: Wiley-IEEE Press.
Salz, J., & Winters, J. H. (1994). Effect of fading correlation on adaptive arraysin digital mobile radio. IEEE Transactions on Vehicular Technology, 43(4), 1049–1057.
King, P. R., Evans, B. G., & Stavrou, S. (2005). Physical-statistical model for theland mobile-satellite channel applied to satellite/HAP MIMO. In Proceedings of the 11th Euro wireless conference Nicosia, Cyprus, Vol. 1, pp. 198–204.
Abdi, A., & Kaveh, M. (2002). A space-time correlation model for multielementantenna systems in mobile fading channels. IEEE Journal on Selected Areas in Communications, 20(3), 550–560.
Mahmoud, S. S., Hussain, Z. M., & O’Shea, P. (2002). Space-time model formobile radio channel withhyperbolicallydistributed scatterers. IEEE Antennas and Wireless Propagation Letters, 1, 211–214.
Mahmoud, S. S., Hussain, Z. M., & O’Shea, P. (2006). A geometrical-basedmicrocell mobile radio channel model. Wireless Network, 12(5), 653–664.
Mahmoud, S. S., Al-Qahtani, F. S., Hussain, Z. M., & Gopalakrishnan, A. (2008). Spatial and temporal statistics for the geometricalbasedhyperbolic macrocell channel model. Digital Signal Processing, 18(2), 151–167.
Vázquez-Castro, M. A., Perez-Fontan, F., & Saunders, S. R. (2002). Shadowingcorrelation assessment and modeling for satellite diversity in urbanenvironments. International Journal of Satellite Communications, 20(2), 151–166.
Saunders, S. R., & Evans, B. G. (1996). Physical model of shadowing probabilityfor land mobile satellite propagation. Electronics Letters, 32(17), 1548–1549.
Tzaras, C., Evans, B. G., & Saunders, S. R. (1998). Physical-statistical analysisof land mobile-satellite channel. Electronics Letters, 34(13), 1355–1357.
Proakis, J. (1989). Digital communications (2nd ed.). New York: McGraw-Hill.
Michailidis, E. T., Kanatas, A. G. (2011). Capacity analysis and simulation of 3-D space-time correlated HAP-MIMO channels. International Journal on Advances Telecommunications, 4(1 & 2).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Eldowek, B.M., Michailidis, E.T., Albagory, Y.A. et al. Complex Envelope Second-Order Statistics in High-Altitude Platforms Communication Channels. Wireless Pers Commun 77, 2517–2535 (2014). https://doi.org/10.1007/s11277-014-1652-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-014-1652-z