Enhancing Coverage and Rate of Cell Edge User in Multi-Antenna Poisson Voronoi Cells

This paper analyzes the cell edge mobile user performance in the downlink cellular system. We develop frame-work for coverage probability and spectral efficiency. In particular, we analyzed the performance of multi-antenna mobile users under multi-antenna base stations (BSs). The expressions of coverage probability and spectral efficiency are derived for cell edge user using stochastic geometry. We investigate how much the performance of cell edge user is improved when distances connecting BSs and cell edge users are modeled with cell edge null probability distribution. The probability of coverage and spectral efficiency is studied using zero-forcing beam-forming and the performance metrics are compared between coordinated scheduling (CS) and without coordinated scheduling (w/o CS). The interesting observation from our results is that the edge user coverage and rate is closely approaching towards the inner cell typical mobile user's rate and coverage, and the performance is verified with relative probability of coverage gain analysis.

Covering n-Permutations with (n+1)-Permutations

Let $S_n$ be the set of all permutations on $[n]:=\{1,2,\ldots,n\}$. We denote by $\kappa_n$ the smallest cardinality of a subset ${\cal A}$ of $S_{n+1}$ that "covers" $S_n$, in the sense that each $\pi\in S_n$ may be found as an order-isomorphic subsequence of some $\pi'$ in ${\cal A}$. What are general upper bounds on $\kappa_n$? If we randomly select $\nu_n$ elements of $S_{n+1}$, when does the probability that they cover $S_n$ transition from 0 to 1? Can we provide a fine-magnification analysis that provides the "probability of coverage" when $\nu_n$ is around the level given by the phase transition? In this paper we answer these questions and raise others.

Effects of Labor Legislation and Industry Characteristics on Union Coverage in Canada

The authors investigate the determinants of union coverage using 1986 cross-section data on Canadian workers. Larger firm size, larger establishment size, and higher injury rates increase the probability of union coverage. Industry concentration, import penetration, and the substitutability of labor do not affect coverage through their impact on the union-nonunion wage differential, but concentration increases the probability of coverage through a mechanism unrelated to the wage differential. Mandatory checkoff provisions increase the probability of coverage, but the estimated effect is barely significant. Restrictions on replacement workers and interprovincial differences in automatic certification provisions have statistically insignificant effects. Finally, the results are sensitive to treating some industry characteristics as endogenous (that is, jointly determined with union coverage and union and nonunion wages)—a treatment not used in other studies.