Andriy Olenko

TL;DR: This derivation is based on a new "geometrical model" of omnidirectional scatterers as spatially distributed uniformly on a two-dimensional hollow-disc centered upon the mobile, which degenerates to the well-known uniform-ring or uniform-disc densities.

TL;DR: In this paper, a survey of Abelian and Tauberian theorems for long-range dependent random fields is presented, and a framework for asymptotic behaviour of covariance functions or variances of averaged functionals of random fields at infinity and spectral densities at zero is described.

TL;DR: This paper presents the open literature's first closed-form explicit expressions of the trivariate joint and marginal distributions of a landmobile cellular wireless communication system's uplink and downlink multipaths' time of arrival and two-dimensional direction of arrival, rigorously derived via thorough mathematics.

TL;DR: This letter presents the joint/marginal distributions of the uplink (downlink) multipaths' azimuth angles of arrival and times of arrival at the cellular base station (mobile) based on a new "geometrical model" wherein omnidirectional scatterers are modeled as spatially distributed at an inverted parabolic spatial distribution on a two-dimensional disc centered at the mobile.

TL;DR: In this paper, limit theorems for the volumes of excursion sets of weakly and strongly dependent heavy-tailed random fields are proved and generalizations to sojourn measures above moving levels and for cross-correlated scenarios are presented.