2026-06-01T04:38:47Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/151082026-02-03T12:35:20Zcom_10630_2254col_10630_37957

On the connection between noncircularly-symmetric and noncentral fading models: univariate and multivariate analysis Moreno-Pozas, Laureano Martos-Naya, Eduardo López-Martínez, Francisco Javier Procesos estocásticos Matrices (Matemáticas) Procesado de señales - Tesis doctorales This thesis provides new statistical connections between noncircularly-symmetric central and circularly-symmetric noncentral underlying complex Gaussian models. This is particularly interesting since it facilitates the analysis of noncircularly-symmetric models, which are often underused despite their practical interest, since their analysis is more challenging. Although these statistical connections have a wide range of applications in different areas of univariate and multivariate analysis, this thesis is framed in the context of wireless communications, to jointly analyze noncentral and noncircularly-symmetric fading models. We provide an unified framework for the five classical univariate fading models, i.e. the one-sided Gaussian, Rayleigh, Nakagami-m, Nakagami-q and Rician, and their most popular generalizations, i.e the Rician shadowed, η-µ, κ-µ and κ-µ shadowed. Moreover, we present new simple results regarding the ergodic capacity of single-input single-output systems subject to κ-µ shadowed, κ-µ and η-µ fadings. With applications to multiple-input multiple-output communications, we are interested in matrices of the form W=XX^H (or W=X^HX), where X is a complex Gaussian matrix with unequal variance in the real and imaginary parts of its entries, i.e., X belongs to the noncircularly-symmetric Gaussian subclass. By establishing a novel connection with the well-known complex Wishart ensemble, we facilitate the statistical analysis of W and give new insights on the effects of such asymmetric variance profile. 2018-02-05T10:02:41Z 2018-02-05T10:02:41Z 2018-02-05T10:02:41Z 2017-06-01 doctoral thesis https://hdl.handle.net/10630/15108 eng open access UMA Editorial