The analytic signal of a real signal is a standard concept in 1D signal processing. However, the deenition of an analytic signal for real 2D signals is not possible by a straightforward extension of the 1D deenition. There rather occur several diierent approaches in the literature. We review the main approaches and propose a new deenition which is based on the recently introduced quaternionic F...

We consider a labelled tableau presentation of constant domain rst-order S5 and prove a strong cut-elimination theorem.

In this paper, we derive an analytic representation of the eigenvectors and coefficients for in-plane rotated images. This, on the one hand, allows an efficient PCA-basis calculation in the learning stage and on the other hand a direct computation of the rotation angle in the recognition stage. In the experimental section, we demonstrate that the new method is feasible and the recognition and o...

The difficulty of assessing the writing skill is well known. Different testing facets seem to affect the result of assessing the writing skill. In addition to the writer’s ability, the topic of the writing task, and methods of rating may contribute to the writer’s score. In this study, 50 EFL learners wrote four different types of writing tasks (convincing, describing, instructing, and explaini...

We assess the performance of a partially shared bottleneck buffer for scalable video. The arrival process of the video packets is modelled by means of a two-class discrete batch Markovian arrival process. Using a matrix-analytic approach, we retrieve various performance measures. We illustrate our approach by means of a numerical example.

Definitions for pseudospectra and stability radii of an analytic matrix function are given, where the structure of the function is exploited. Various perturbation measures are considered and computationally tractable formulae are derived. The results are applied to a class of retarded delay differential equations. Special properties of the pseudospectra of such equations are determined and illu...

General delay dynamical systems in which uncertainty is present in the form of probability measure dependent dynamics are considered. Several motivating examples arising in biology are discussed. A functional analytic framework for investigating well-posedness (existence, uniqueness and continuous dependence of solutions), inverse problems, sensitivity analysis and approximations of the measure...

the difficulty of assessing the writing skill is well known. different testing facets seem to affect the result of assessing the writing skill. in addition to the writer’s ability, the topic of the writing task, and methods of rating may contribute to the writer’s score. in this study, 50 efl learners wrote four different types of writing tasks (convincing, describing, instructing, and explaini...