In an earlier paper [14], we showed that the Hilbert scheme of points in the plane Hn = Hilb (C) can be identified with the Hilbert scheme of regular orbits C//Sn. Using this result, together with a recent theorem of Bridgeland, King and Reid [4] on the generalized McKay correspondence, we prove vanishing theorems for tensor powers of tautological bundles on the Hilbert scheme. We apply the van...

Reproduction of a spatial soundfield in an extended region of open space with a designated quiet zone is a challenging problem in audio signal processing. We show how to reproduce a given spatial soundfield without altering a nearby quiet zone. In this paper, we design a spatial band stop filter over the zone of quiet to suppress the interference from the nearby desired soundfield. This is achi...

This paper proposes an inductive method to construct bases for spaces of spherical harmonics over the unit sphere Ω2q of Cq. The bases are shown to have many interesting properties, among them orthogonality with respect to the inner product of L(Ω2q). As a bypass, we study the inner product [f, g] = f(D)(g(z))(0) over the space P(Cq) of polynomials in the variables z, z ∈ Cq, in which f(D) is t...

Pulse width modulation (PWM) converters are frequently used due to unity power factor operation with reduced total harmonic distortion (THD) at ac mains and also provide constant-regulated dc output voltage even under fluctuations of ac voltage and dc load. This paper contains the harmonics analysis of sinusoidal PWM (SPWM) technique and space vector PWM (SVPWM) technique for three-phase AC to ...

We consider 3D object retrieval in which a polygonal mesh serves as a query and similar objects are retrieved from a collection of 3D objects. Algorithms proceed first by a normalization step in which models are transformed into canonical coordinates. Second, feature vectors are extracted and compared with those derived from normalized models in the search space. In the feature vector space nea...

In this paper, a new approach is proposed for voltage and current harmonics compensation in grid-connected microgrids (MGs). If sensitive loads are connected to the point of common coupling (PCC), compensation is carried out in order to reduce PCC voltage harmonics. In absence of sensitive loads at PCC, current harmonics compensation scenario is selected in order to avoid excessive injection of...

-As the use of power electronic equipment is spreading, the degradation of the power quality in the utility networks is increasing and is becoming a major problem. Limiting the current distortion is therefore a concern for both utilities and consumer. Power converters such as rectifiers, power supplies and at a higher power level, arc furnaces are the sources of harmonics. This harmonics can be...