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Timevarying harmonics: Part II – Harmonic summation and propagation
 IEEE Transactions on Power Delivery
, 2002
"... Abstract—This paper represents the second part of a twopart article reviewing the state of the art of probabilistic aspects of harmonics in electric power systems. It includes tools for calculating probabilities of rectangular and phasor components of individual as well as multiple harmonic source ..."
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Cited by 3 (0 self)
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Abstract—This paper represents the second part of a twopart article reviewing the state of the art of probabilistic aspects of harmonics in electric power systems. It includes tools for calculating probabilities of rectangular and phasor components of individual as well as multiple harmonic
Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
 Proceedings of the National Academy of Sciences
, 2005
"... of contexts of data analysis, such as spectral graph theory, manifold learning, nonlinear principal components and kernel methods. We augment these approaches by showing that the diffusion distance is a key intrinsic geometric quantity linking spectral theory of the Markov process, Laplace operators ..."
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Cited by 257 (45 self)
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descriptions at different scales. The process of iterating or diffusing the Markov matrix is seen as a generalization of some aspects of the Newtonian paradigm, in which local infinitesimal transitions of a system lead to global macroscopic descriptions by integration. In Part I below, we provide a unified
On the Uncertainty Principle in Harmonic Analysis
, 2000
"... The Uncertainty Principle (UP) as understood in this lecture is the following informal assertion: a nonzero “object” (a function, distribution, hyperfunction) and its Fourier image cannot be too small simultaneously. “The smallness” is understood in a very broad sense meaning fast decay (at infini ..."
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Cited by 97 (1 self)
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neighboring parts of analysis), but also in applications to physics and engineering. The lecture is a review of facts and techniques related to the UP; connections with local and nonlocal shift invariant operators are discussed at the end of the lecture (including some topical problems of potential theory
Color harmonization
 ACM Transactions on Graphics (Proceedings of ACM SIGGRAPH
, 2006
"... original image harmonized image Figure 1: Harmonization in action. Our algorithm changes the colors of the background image to harmonize them with the foreground. Harmonic colors are sets of colors that are aesthetically pleasing in terms of human visual perception. In this paper, we present a metho ..."
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Cited by 54 (5 self)
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of harmonizing the background image to accommodate the colors of a foreground image, or the foreground with respect to the background, in a cutandpaste setting. Our color harmonization technique proves to be useful in adjusting the colors of an image composed of several parts taken from different sources.
Harmonic and QuasiHarmonic Spheres, Part II
, 2000
"... this paper is to extend the blowup techniques developed in [L] and [LW] to the case that N does support harmonic S ..."
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this paper is to extend the blowup techniques developed in [L] and [LW] to the case that N does support harmonic S
Coil sensitivity encoding for fast MRI. In:
 Proceedings of the ISMRM 6th Annual Meeting,
, 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
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Cited by 193 (3 self)
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that in weak reconstruction FFT can still be applied if kspace is sampled in a regular Cartesian fashion. For this reason sensitivity encoding with Cartesian sampling is particularly feasible. Moreover, the reconstruction mechanism is relatively easily understood in this case. Therefore, the first part
Part Writing Explained by Harmonic Function
, 2006
"... All chords may be classified as tonic (T), subdominant (S), or dominant (D). Tonic chords are relatively stable, contain at least scale degree 1 or 3, and tend to be used at the beginning and end of a piece of music. Subdominant chords tend to push forward toward cadence points and frequently contai ..."
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All chords may be classified as tonic (T), subdominant (S), or dominant (D). Tonic chords are relatively stable, contain at least scale degree 1 or 3, and tend to be used at the beginning and end of a piece of music. Subdominant chords tend to push forward toward cadence points and frequently contain scale degree 4 or 6. Dominant chords are relatively unstable and contain at least scale degree 5 or 7. Dominants frequently demand resolution to a tonicfunction chord, but they can also be used as a point of tentative repose. Most musical phrases begin with tonic function, move through one or more subdominant chords, and then feature a cadence, either on the dominant, or using a dominant to resolve back to tonic. Table 1 gives a list of the circumstances under which music may move against the progressive flow (P) of tonality back to the previous function. This is called retrogressive motion (R). Table 1: Cases when retrogressive motion is allowed 1. Passing (P) and neighboring (N) chords 2. Plagal (PC), deceptive (DC), and half (HC) cadences Every diatonic scale degree can be used within a chord of any function. The use of some of these scale degrees, however, is restricted. Table 2 shows the functions each scale degree plays within each type of harmony. This chart should be studied and memorized, since it summarizes all of the necessary information for understanding scaledegree function.
harmonic oscillator †
, 1993
"... Using Green ′ s function and operator techniques we give a closed expression for the response of a nonrelativistic system interacting through confining, harmonic forces. The expression for the incoherent part permits rapid evaluation of coefficients in a 1/q expansion. A comparison is made with sta ..."
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Using Green ′ s function and operator techniques we give a closed expression for the response of a nonrelativistic system interacting through confining, harmonic forces. The expression for the incoherent part permits rapid evaluation of coefficients in a 1/q expansion. A comparison is made
A Parametric Harmonic+Noise Model
 Improvements in Speech Synthesis
, 2002
"... We present and evaluate here an Harmonic + Noise Model (HNM) for speech synthesis. The noise part is represented by an autoregressive model whose output is pitchsynchronously modulated in energy. The harmonic part of the signal is represented by a sum of harmonic sinusoids. This paper compares diff ..."
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Cited by 2 (0 self)
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We present and evaluate here an Harmonic + Noise Model (HNM) for speech synthesis. The noise part is represented by an autoregressive model whose output is pitchsynchronously modulated in energy. The harmonic part of the signal is represented by a sum of harmonic sinusoids. This paper compares
Controllability of quantum harmonic oscillators
 IEEE Trans Automatic Control
"... Abstract—It is proven in a previous paper that any modal approximation of the onedimensional quantum harmonic oscillator is controllable. We prove here that, contrary to such finitedimensional approximations, the original infinitedimensional system is not controllable:Its controllable part is of ..."
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Cited by 27 (5 self)
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Abstract—It is proven in a previous paper that any modal approximation of the onedimensional quantum harmonic oscillator is controllable. We prove here that, contrary to such finitedimensional approximations, the original infinitedimensional system is not controllable:Its controllable part
Results 1  10
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