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Interference Studies Between Adjacent Satellite Communications Systems operating Above 10 GHz and Using Power Control as Fade Mitigation Technique

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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.

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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

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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.

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Correspondence to Athanasios D. Panagopoulos.

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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

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