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| Author(s): |
Vanessa Mendes Rennó
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação |
| Defense date: | 2023-05-18 |
| Examining board members: |
José Cândido Silveira Santos Filho;
Victoria Dala Pegorara Souto;
Waslon Terllizzie Araújo Lopes;
Michel Daoud Yacoub;
Paulo Cardieri
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| Advisor: | José Cândido Silveira Santos Filho |
| Abstract | |
This thesis aims to advance the field of wireless communications by addressing two key topics: (i) simulation of generalized wireless fading channels and (ii) asymptotic analysis for a broad Gaussian class of fading models. Despite their mathematical flexibility, great fit to empirical data, and increasing popularity, the ????-????, ????-????, ????-????, and ????-????-????-???? fading models have to date no simulation framework as general as the models themselves. Indeed, the available simulation framework is quite limited, only applicable to integer and half-integer values of the (real-valued) ????-parameter. This is an impractical constraint. Therefore, in the first part of this work, this drawback has been overcome by proposing a unified simulation method for ????-????, ????-????, ????-????, and ????-????-????-???? fading processes that accommodates full-range values of all fading parameters. Not less important, the proposed method is simple, exactly matches the fading models’ first-order statistics, and well approximates their second-order statistics. This last requirement is especially tricky, by far the most challenging, and, indeed, a long-standing problem in fading simulation. Analytical expressions for the proposed method’s relevant statistics were obtained. Also, a crucial simulation parameter to improve the match for the second-order statistics has been optimized. In passing, useful series representations and asymptotic expressions for essential first- and second-order statistics were obtained for the fading models investigated. The results are fully validated via Monte Carlo simulation. Gaussian-based fading models incorporate different propagation aspects of the wireless channel, such as correlation, non-linearity, clustering, scattered waves, and dominant components. In order to characterize the dynamic nature of random processes that model such fading channels, second-order statistics and corresponding metrics are often employed. Unfortunately, the exact analysis of these statistics for generalized fading conditions leads to intricate expressions. To overcome this drawback, in the second part of this work, it was provided a general asymptotic analysis for second-order statistics at high signal-to-noise ratio regime for a broad Gaussian class of fading channels. The proposed structure leads to simple, unified, and closed-form expressions that characterize the impact of each physical aspect of fading in the channel, thus providing a complete, practical, and intuitive description of the dynamic behavior of the system. The asymptotic expressions obtained are thoroughly validated, both by reducing them to known particular cases and via Monte Carlo simulations (AU) | |
| FAPESP's process: | 18/20179-9 - Advanced Simulation of Generalized Wireless Channels |
| Grantee: | Vanessa Mendes Rennó |
| Support Opportunities: | Scholarships in Brazil - Doctorate |