Abstract
Interference problems are arising from the spectral coexistence between satellite communication networks that operate at frequencies above 10 GHz and particularly when they employ power control as fade mitigation technique. This situation is aggravated due to tropospheric propagation phenomena. In this frequency range, rain attenuation is considered to be the dominant tropospheric fading mechanism. The conditional acceptable intersystem interference probability of the Carrier-to-Interference Ratio of a satellite terminal interfered by an adjacent satellite network is defined as a figure of merit and analytically calculated taking into account a physical-mathematical model for the rainfall medium. The correlated propagation fading phenomena over multiple slant paths are accurately incorporated. The proposed model is flexible and can be applied on a global scale since it incorporates the local climatic conditions concerning the point rainfall rate and the spatial rainfall inhomogeneity. Useful numerical results of the proposed model are obtained and the impact of various crucial operational and geometrical parameters of satellite networks’ coexistence is examined. The numerical results have been also verified through simulations using a multi-dimensional rain attenuation synthesizer. Finally, simple and easy-calculated formulas for the satellite communication designers for back of the envelope computations are given.
Similar content being viewed by others
Abbreviations
- \(\varphi _1\) :
-
Elevation angle of the slant path pointing towards satellite \(\mathbf{S}_\mathbf{1}\)
- \(\varphi _2\) :
-
Elevation angle of the slant path pointing towards satellite \(\mathbf{S}_\mathbf{2}\)
- \(\theta \) :
-
Differential angle between slant paths \(\mathbf{S}_\mathbf{1}\mathbf{E}_\mathbf{1}\) and \(\mathbf{S}_\mathbf{2}\mathbf{E}_\mathbf{1}\)
- \(A_{C1}\) :
-
Rain attenuation of the wanted signal referring to Earth-space path \(\mathbf{S}_\mathbf{1}\mathbf{E}_\mathbf{1}\)
- \(A_{C2}\) :
-
Rain attenuation of the wanted signal referring to Earth-space path \(\mathbf{S}_\mathbf{2}\mathbf{E}_\mathbf{2}\)
- \(A_I\) :
-
Rain attenuation of the wanted signal referring to Earth-space path \(\mathbf{S}_\mathbf{2}\mathbf{E}_\mathbf{1}\)
- \(D\) :
-
Separation distance between Earth terminals \(\mathbf{E}_\mathbf{1}\) and \(\mathbf{E}_\mathbf{2}\)
- FM :
-
Rain Fade Margin concerning satellite path \(\mathbf{S}_\mathbf{1}\mathbf{E}_\mathbf{1}\) in dB
- \(SPCL_{1,\max }\) :
-
Maximum value of satellite system \(\mathbf{S}_\mathbf{1}\mathbf{E}_\mathbf{1}\) power control scheme
- \(SPCL_{2,0}\) :
-
Minimum threshold of satellite system \(\mathbf{S}_\mathbf{2}\mathbf{E}_\mathbf{2}\) power control scheme
- \(SPCL_{2,\max }\) :
-
Maximum value of satellite system \(\mathbf{S}_\mathbf{2}\mathbf{E}_\mathbf{2}\) power control scheme
- \(CIR\) :
-
Carrier-to-Interference ratio at the Earth station \(\mathbf{E}_\mathbf{1}\)
- \(\left( {CIR} \right) _{CS}\) :
-
Carrier-to-Interference ratio at the Earth station \(\mathbf{E}_\mathbf{1}\), under clear sky conditions
- \(\left( {CIR} \right) _{CS}^{*}\) :
-
Carrier-to-Interference ratio at the Earth station \(\mathbf{E}_\mathbf{1}\), under clear sky conditions, for angular separation \(\uptheta =1^{\circ }\)
- \({A}'_{Ci}\) (\(\hbox {i}=1,2\)):
-
Rain attenuations calculated for the projections of the slant paths \(\mathbf{S}_\mathbf{1}\mathbf{E}_\mathbf{1}\) and \(\mathbf{S}_\mathbf{2}\mathbf{E}_\mathbf{2}\) respectively
- \({A}'_I\) :
-
Rain attenuation calculated for the projection of the interfering slant path \(\mathbf{S}_\mathbf{2}\mathbf{E}_\mathbf{1}\)
- \(A_{m_i} ,S_{a_i}\) (i \(=\) 1,2):
-
Lognormal statistical parameters of the distribution concerning \({A}'_{C_i}\) (i \(=\) 1,2)
- \(A_{m_3} ,S_{a_3}\) :
-
Lognormal statistical parameters of the distribution concerning \({A}'_I \)
- \(r\) :
-
Non exceedance level of the CIR (dB)
- \(f_{u_1 u_2}\) :
-
Two-dimensional normal joint density function
- \(\mu _{3/{1,2}} ,\sigma _{3/{1,2}}\) :
-
Statistical parameters expressed in terms of system and rainfall medium parameters
- \(R_m ,S_r\) :
-
Lognormal statistical parameters of rainfall rate
- \(a, b\) :
-
Specific rain attenuation parameters
References
Panagopoulos, A. D., Arapoglou, P.-D. M., & Cottis, P. G. (2004). Satellite communications at Ku, Ka, and V bands: Propagation impairments and mitigation techniques. IEEE Communications Surveys & Tutorials, 6(3), Third Quarter.
Morello, A., & Mignone, V. (2006). DVB-S2: The second generation standard for satellite broad-band services. Proceedings of IEEE, 94(1), 210–227.
ITU-R S. 466-6. (1992). Maximum permissible level of interference in a telephone channel of a geostationary-satellite network in the fixed-satellite service employing frequency modulation with frequency-division multiplex, caused by other networks of this service. Geneva.
ITU-R S. 465–6. (2010). Reference radiation pattern of earth station antennas in the fixed-satellite service for use in coordination and interference assessment in the frequency range from 2 to 31 GHz. Geneva.
Liolis, K., Schlueter, G. et al. (2013). Cognitive radio scenarios for satellite communications: The CoRaSat approach. In: Future Network & MobileSummit 2013 Conference Proceedings, (pp. 1–10).
ITU-R P.1815-1. (2009). Differential rain attenuation. Geneva.
Castanet, L., Bolea-Alamañac, A., & Bousquet, M. (2003, May) Interference and fade mitigation techniques for Ka and Q/V band satellite communication systems. In COST 272-280 International workshop on satellite communications from fade mitigation to service provision Noordwijk, The Netherlands.
Sweeny, D. G., & Bostian, C. (1999). Implementing adaptive power control as a 30/20-GHz fade countermeasure. IEEE Transactions on Antennas and Propagation, 1, 40–46.
Kanellopoulos, J. D., Panagopoulos, A. D., & Livieratos, S. N. (2000). A comparison of co-polar and co-channel satellite interference prediction models with experimental results at 11.6 GHz and 20 GHz. International Journal of Satellite Communications, 18, 107–120.
Panagopoulos, A. D., Livieratos, S. N., & Kanellopoulos, J. D. (Nov 2002). Interference analysis applied to a double site diversity Earth-space system: Rain height effects and simple regression-derived formulas. Radio Science, 37(6) 151–159.
ITU-R, P.619-1. (1992). Propagation data required for the evaluation of interference between stations in space and those on the surface of the Earth. Geneva.
Karagiannis, G., Panagopoulos, A. D., & Kanellopoulos, J. D. (2012, November). Multidimensional rain attenuation stochastic dynamic modeling: Application to earth-space diversity systems. IEEE Transactions on Antennas and Propagation, 60(11).
Papoulis, A., & Pillai, S. U. (2002). Probability, random variables and stochastic processes (4th ed.). New York: McGraw-Hill Science/Engineering/Math.
Luglio, M., Mancini, R., Riva, C., Paraboni, A., & Barbaliscia, F. (2002). Large scale site diversity for Satellite Communication Networks. International Journal of Satellite Communications, 20, 251–260.
Levenberg, Kenneth. (1944). A method for the solution of certain non-linear problems in least squares. The Quarterly of Applied Mathematics, 2, 164–168.
Marquardt, Donald. (1963). An algorithm for least-squares estimation of nonlinear parameters. SIAM Journal on Applied Mathematics, 11(2), 431–441.
Acknowledgments
This research has been co-financed by the European Union (European Social Fund—ESF) and Greek national funds through the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF)—Research Funding Program: THALES. Investing in knowledge society through the European Social Fund.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Panagopoulos, A.D., Kritikos, T.D., Livieratos, S.N. et al. Interference Studies Between Adjacent Satellite Communications Systems operating Above 10 GHz and Using Power Control as Fade Mitigation Technique. Wireless Pers Commun 77, 1311–1327 (2014). https://doi.org/10.1007/s11277-013-1582-1
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-013-1582-1