Utility of non-linear load leads to generation of harmonics in industry which is affecting the power quality as well as performance of devices like motors and controllers etc. Harmonic Measurement and analysis to obtain the harmonic content of current and voltage has become vital task in context with increasing power quality. This paper discusses the effect of harmonics on power system and the ...

We outline a method for controlling a model for the return times operator. For more information about how this model operator relates to the return times theorem, see the summary by Patrick LaVictoire in these conference proceedings. 1.1 Notation and prior results For a sequence (xj)j ⊆ C, define ||xj ||Ṽ r k = sup M,k0,...,kM ( M ∑ m=1 |xkm − xkm−1 | ) 1 r

In this article we review some recent interactions between harmonic analysis and data compression. The story goes back of course to Shannon’s R(D) theory in the case of Gaussian stationary processes, which says that transforming into a Fourier basis followed by block coding gives an optimal lossy compression technique; practical developments like transformbased image compression (JPEG) have bee...

We study relationships between different formulations of the local principle. Also we establish a connection among the local principle and the non-commutative Fourier transform approach to the investigation of convolution operator algebras.

(in alphabetic order by speaker surname) Speaker: Judit Abardia (Frankfurt University) Title: Projection bodies in complex vector spaces Abstract: The projection body of a convex body in the Euclidean space was characterized by Monika Ludwig as the unique Minkowski valuation which is continuous, translation invariant and contravariant under the (real) special linear group. In a joint work with ...

The principle of the harmonic analysis method and the its application in the hub runout measurement are introduced in detail in this article, and through the practical measurement data, the geometric meaning of judge the hub quality by the harmonic analysis method is proposed, and the disadvantages of the 8-point coordinate method are analyzed, and the computation method of the Fourier factor i...

The paper presents methods for instantaneous harmonic analysis with application to high-quality pitch, timbre, and time-scale modifications. The analysis technique is based on narrow-band filtering using special analysis filters with frequency-modulated impulse response. The main advantages of the technique are high accuracy of harmonic parameters estimation and adequate harmonic/noise separati...

The rotations are the symmetries preserving the (cyclic) ordering of vertices. Thus, a rotation g is determined by the image gv, so the subgroup N of rotations has n elements. A reflection is an order-2 symmetry reversing the ordering of vertices. Imbedding the n-gon in R, there are n axes through which the n-gon can be reflected, so there are n reflections. Since |G| = 2n, every symmetry is ei...