Communications and Signal Processing Lab (ComSP)

Title	On the Connection between Noncircularly-symmetric and Noncentral Fading Models: Univariate and Multivariate Analysis
State	Finished
Author	Laureano Moreno Pozas
Director/s	Eduardo Martos Naya ,  Francisco Javier López Martínez
University	Universidad de Málaga
Center	Escuela Técnica Superior de Ingeniería de Telecomunicación
Department	Ingeniería de Comunicaciones
Reading date	30/06/2017
File	PDF

This thesis provides new statistical connections between noncircularlysymmetric

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, n-u, k-u and k-u shadowed. Moreover,

we present new simple results regarding the ergodic capacity of single-input

single-output systems subject to k-u shadowed, n-u and k-u fadings.

With applications to multiple-input multiple-output communications, we

are interested in matrices of the formW = XXy (orW = XyX), 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.