Site Diversity in Satellite Communications: Modelling Using Copula Functions

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This book describes multi-site diversity modelling of induced rain attenuation statistics for satellite communication systems using copula functions. It gathers all relevant state-of-the-art knowledge, provides the missing pieces and rounds them up in a way that the reader is given a complete picture of important modelling factors and ways to address them. The books’ main features include: 



  • Data post-processing methodology for statistical analysis based on our Earth-satellite propagation experiments. 
  • Two novel multi-site diversity prediction models based on Gaussian copula considering distance between stations or considering distance, baseline, and elevation angle.
  • Two novel multi-site diversity prediction models based on hyperbolic cosecant copula considering distance between stations or considering distance, baseline, and elevation angle. 
  • Exhaustive comparative tests and error performance of the prediction models showing that improved error performance is achieved compared to the ITU R model and to the state-of-the-art models. 
The results presented in the book are expected to contribute to the improvement of the system design and to the further research of modelling the next generation satellite links at higher frequencies.

Author(s): Arsim Kelmendi, Aleš Švigelj, Tomaž Javornik, Andrej Hrovat
Series: SpringerBriefs in Applied Sciences and Technology
Publisher: Springer
Year: 2023

Language: English
Pages: 127
City: Cham

Preface
Contents
Acronyms
Symbols
1 Introduction
1.1 Broadband Satellite Communications and the Need for Site-Diversity Modelling
1.2 Motivation and Goals of the Book
1.3 Organisation of the Book
References
2 Propagation-Impairments Modelling and Fade-Mitigation Techniques for Earth-Satellite Links
2.1 Introduction
2.2 Atmospheric Effects and First-Order Statistics Modelling
2.2.1 Rain Attenuation
2.2.2 Gaseous Attenuation
2.2.3 Cloud Attenuation
2.2.4 Melting-Layer Attenuation
2.2.5 Tropospheric Scintillation
2.2.6 Depolarisation
2.2.7 Total Attenuation
2.3 Fade Dynamics on Earth-Space Slant Paths
2.3.1 Fade and Inter-Fade Duration
2.3.2 Fade Slope
2.4 Frequency Scaling
2.5 Fade-Mitigation Techniques
2.5.1 Effective Isotropic Radiated Power (EIRP) Control Techniques
2.5.2 Adaptive-Transmission Techniques
2.5.3 Diversity Techniques
2.5.4 Comparison of Fade-Mitigation Techniques
2.6 Modelling of Site-Diversity Performance
References
3 Earth-Satellite Propagation Experiments and Statistical Analyses
3.1 Introduction
3.2 Beacon Receivers Setup in Slovenia and Austria
3.2.1 Ka Band Beacon Receivers
3.3 Site-Diversity Experiments in the Ka Band
3.4 Data Post-Processing Methodology
3.4.1 Single-Site Attenuation Time Series
3.4.2 Joint Rain-Attenuation Time Series
3.4.3 Rain-Gauge Data Processing
3.4.4 Statistical Analysis Methodology
3.5 Statistical Analysis of Site-Diversity Performance
3.5.1 Two-Site-Diversity Experiments
3.5.2 Three-Site-Diversity Experiments
3.5.3 Four-Site-Diversity Experiment
References
4 Multi-Site-Diversity Modelling in Satellite Communications Using Gaussian Copula
4.1 Introduction
4.2 Joint Rain-Attenuation Prediction Method Using Gaussian Copula
4.3 Modelling of Joint Rain-Attenuation Statistics
4.4 Distance-Based Joint CCDF Prediction Method
4.4.1 Comparative Tests and Error Performance of Prediction Model
4.5 Distance-, Elevation-, and Baseline-Angle-Based Joint CCDF Prediction Method
4.5.1 Comparative Tests and Error Performance of Prediction Model
4.6 Discussion of the Gaussian Copula Prediction Models
References
5 Multi-Site-Diversity Modelling in Satellite Communications Using Hyperbolic Cosecant Copula
5.1 Introduction
5.2 Joint Rain-Attenuation Prediction Model Using Hyperbolic Cosecant Copula
5.3 Hierarchical Archimedean Copulas Structure Using Hyperbolic Generator …
5.4 Modelling of Joint Rain-Attenuation Statistics
5.5 Joint CCDF of Rain-Attenuation Prediction Model
5.5.1 Distance-Based Joint CCDF Prediction Method
5.5.2 Distance-, Elevation-, and Baseline-Angle-Based Joint CCDF Prediction Method
5.5.3 Three- and Multi-Site-Diversity Prediction Model Using HAC
5.6 Two-Site-Diversity Comparative Tests
5.7 Three-Site-Diversity Comparative Tests
5.7.1 Comparison of the Three-Site-Diversity Experiments from the USA
5.7.2 Comparison of the Three-Site-Diversity Experiments from Europe
5.8 Four-Site-Diversity Comparative Tests
References
6 Summary
6.1 Book Recapitulation
6.2 Future Work
Appendix Probability Theory and Copulas
References