Level Zero Core Curriculum and Entrance Examination: An Italian Experience

In this paper the mathematical part of the entrance examinations at the Politecnico di Torino is considered; the topics covered are compared with the SEFI Mathematical Working Group Level Zero Core Curriculum. The structure of the examinations is described, and the global results of the examination, in particular Algebra and Trigonometry, are analysed

L'uso della piattaforma Moodle al Politecnico di Torino

La piattaforma Moodle è in uso presso il Politecnico di Torino da almeno 5 anni, con finalità tra di loro molto diverse che spaziano dal Test di Ammissione per tutti i corsi nell'area dell'Ingegneria, ai test di livello per l'inserimento negli insegnamenti della Lingua Inglese, alla verifica della conoscenza della Lingua Italiana per gli studenti stranieri, sino all'utilizzo che sotto descriveremo a titolo di esempio, come parte dell'esame di un insegnamento curricular

A Highly Integrated Navigation Unit for On-Orbit Servicing Missions

VINAG (VISION/INS integrated Navigation Assisted by GNSS) is a highly integrated multisensor navigation unit, particularly conceived for On-Orbit Servicing missions. The system is designed to provide all-in-one, on-board real time autonomous absolute navigation as well as pose determination of an uncooperative known object orbiting in LEO (Low Earth Orbit), GEO (GEosynchronous Orbits) and possibly in HEO (Highly Earth Orbit). The system VINAG is under development by a team of Italian companies and universities, co-financed by the Italian Space Agency. Thanks to a tight optimized integration of its subsystems, VINAG is characterized by a low power and mass total budgets and therefore it is suitable for small and very small satellites. In order to provide both 1) absolute orbit and attitude determination and 2) vision-based pose determination, the unit integrates three metrology systems: a Cameras Subsystem (a monocular camera and a Star sensor), an Inertial Measurement Unit (IMU) and a GNSS (Global Navigation Satellite System) receiver. In this paper, we introduce the complete system architecture, the adopted algorithms and then the adopted hardware design solutions. In addition, we describe preliminary numerical simulation results obtained for different orbits from LEO to GEO carried out for the validation phase of VINAG

Solving the EFIE at Low Frequencies With a Conditioning That Grows Only Logarithmically With the Number of Unknowns

A detailed analysis of the electric field integral equation (EFIE) at low frequencies is presented. The analysis, that is based on the Sobolev space mapping properties of the EFIE, explains the conditioning growth of the majority of currently available quasi-Helmholtz decomposition methods (such as Loop-Tree/Star, Loop-Rearranged Trees, etc.) that cure the EFIE low-frequency breakdown. It is shown that these methods have a conditioning that grows polynomially with the number of unknowns. To solve this problem, in this work we present a quasi-Helmholtz decomposition method that leads to an EFIE whose conditioning grows only logaritmically with the number of unknowns. This result is obtained by properly regularizing both the solenoidal and non-solenoidal part of the EFIE. The regularization is obtained by introducing a new set of loop hierarchical basis functions. Numerical tests are provided to confirm the results obtained by the theory

A Multiresolution Approach to the Electric Field Integral Equation in Antenna Problems

This paper deals with a multiresolution approach to the finite-element solution of the electric field integral equation (EFIE) formulation of the boundary value problem for Maxwell equations. After defining a multiresolution set of discretized spaces, each of them is first separated into solenoidal and nonsolenoidal complementary spaces. The possibility of obtaining these two spaces with a scalar-to-vector space mapping is used to consider first two separate scalar wavelet decompositions, and then to transform them properly into the two desired vector finite-element sets, finally joined to obtain the complete multiresolution basis. Numerical results, obtained for real life antennas, are presented to verify the actual sparsity of the system matrix and to show the fast convergence behavior of iterative solvers

Landscapes of time-frequency analysis

The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2018, which brought together experts in harmonic analysis and its applications. New connections between different but related areas were presented in the context of time-frequency analysis, encouraging future research and collaborations. Some of the topics covered include: • Abstract harmonic analysis, • Numerical harmonic analysis, • Sampling theory, • Gabor analysis, • Time-frequency analysis, • Mathematical signal processing, • Pseudodifferential operators, and • Applications of harmonic analysis to quantum mechanics. Landscapes of Time-Frequency Analysis will be of particular interest to researchers and advanced students working in time-frequency analysis and other related areas of harmonic analysis