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The Bellman Function Technique in Harmonic Analysis

, 2020
The Bellman function, a powerful tool originating in control theory, can be used successfully in a large class of difficult harmonic analysis problems and has produced some notable results over the last thirty years.
V. Vasyunin, A. Volberg
semanticscholar   +1 more source

Analysis and Control of Current Harmonic in IPMSM Field-Oriented Control System

IEEE transactions on power electronics, 2022
There is a certain amount of current harmonics in interior permanent magnet synchronous motor. In order to accurately control the current harmonic, this article focuses on three aspects: establishing current harmonic calculation model, extracting current
Zhiwei Chen   +4 more
semanticscholar   +1 more source

Stereopsis by harmonic analysis

Vision Research, 1979
Abstract Stereoscopically viewed vertical gratings whose cycle widths differ by 10% fuse into a single grating rotated in depth. The perceived tilt can be predicted on the basis of a barwise computation of geometrical disparities, or on the basis of a comparison in terms of harmonic content.
E, Levinson, R, Blake
openaire   +2 more sources

Harmonic Analysis on Semigroups

The Annals of Mathematics, 1983
wherever t > 0 and 1 < p < so. E. M. Stein [St 3] developed a "LittlewoodPaley" theory for such semigroups, with some additional hypotheses. R. R. Coifman, R. Rochberg, and G. Weiss [CRW] pointed out that some of Stein's estimates could be obtained more simply by the use of "transference" techniques which were developed by Coifman and Weiss [CW].
openaire   +1 more source

Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution

New Trends in Applied Harmonic Analysis, Volume 2, 2018
We will introduce the basics of dyadic harmonic analysis and how it can be used to obtain weighted estimates for classical Calderon–Zygmund singular integral operators and their commutators.
M. C. Pereyra
semanticscholar   +1 more source

Harmonic analysis and applications

Kybernetes, 2012
PurposeThe purpose of this paper is to survey briefly how harmonic analyis started and developed throughout the centuries to reach its modern status and its surprisingly wide range of applications.Design/methodology/approachThe author traces applications of harmonic analysis back to Mesopotamia, ancient Egypt and the Indus Valley, showing how the ...
openaire   +1 more source

A Method of Harmonic Analysis

Journal of Applied Mechanics, 1935
Abstract The method of harmonic analysis described in this paper is of the selected ordinate type. It is similar to the Fischer Hinnen analysis in that a different spacing of ordinates is used for each harmonic component to be determined, and no multiplications are necessary. The basis of derivation is the assumption that the curve to be
openaire   +2 more sources

Harmonic Stability Analysis of MMC-Based DC System Using DC Impedance Model

IEEE Journal of Emerging and Selected Topics in Power Electronics, 2020
The dc impedance model of a modular multilevel converter (MMC) is the basis for analyzing harmonic resonances of MMC-based dc systems. As an MMC typifies a multiple harmonic response system, its internal dynamics and controls significantly influence its ...
Ke Ji   +4 more
semanticscholar   +1 more source

Noneuclidean Harmonic Analysis

SIAM Review, 1982
Analysis on Lie groups and their homogeneous spaces has seen a recent flowering, thanks to the work of Harish-Chandra, Helgason, Selberg and many others.
openaire   +1 more source

Modeling and Stability Analysis of Inverter-Based Microgrid Under Harmonic Conditions

IEEE Transactions on Smart Grid, 2020
Microgrids (MGs) operate under harmonic conditions due to the integration of nonlinear loads. The autonomous harmonic compensation control of inverter-interfaced DG has been proposed to successfully mitigate the harmonics.
Yelun Peng   +5 more
semanticscholar   +1 more source

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