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Resumen de Publicaciones |
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Wavelet |
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Otros |
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1989 |
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A theory for multiresolution signal decomposition: the wavelet representation |
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S. Mallat |
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IEEE Transactions on Pattern Analysis and Machine Intelligence Vol 11, Nr0. 7, |
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198Jul. 1989, pp. 6p.674-693 |
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Abstract : |
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Multiresolution representations are effective for analyzing the information content of |
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images. The properties of the operator which approximates a signal at a given resolution |
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were studied. It is shown that the difference of information between the approximation of |
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a signal at the resolutions 2/sup j+1/ and 2/sup j/ (where j is an integer) can be extracted |
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by decomposing this signal on a wavelet orthonormal basis of L/sup 2/(R/sup n/), the |
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vector space of measurable, square-integrable n-dimensional functions. In L/sup 2/(R), a |
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wavelet orthonormal basis is a family of functions which is built by dilating and translating |
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a unique function psi (x). This decomposition defines an orthogonal multiresolution |
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representation called a wavelet representation. It is computed with a pyramidal algorithm |
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based on convolutions with quadrature mirror filters. Wavelet representation lies between |
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the spatial and Fourier domains. For images, the wavelet representation differentiates |
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several spatial orientations. The application of this representation to data compression in |
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image coding, texture discrimination and fractal analysis is discussed |
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1999 |
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End effect analysis of linear induction motor based on the wavelet transform |
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technique |
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Mori, Y.; Torii, S.; Ebihara, D. |
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Magnetics, IEEE Transactions on , Volume: 35 Issue: 5 Part: 2 , Sept. 1999 |
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Page(s): 3739 -3741 |
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Abstract : |
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The performance of LIM is degraded due to the influence of the end effects. LIM is |
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analyzed using the Fourier series expansion to throw light on this problem. However, |
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when we want to obtain the high-accuracy in this technique, the number of times for |
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calculation is increased. In the case of the wavelet transform technique, as the wavelet |
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coefficients converge rapidly to zero, this technique has been applied to analyze the end |
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effects of LIM. In this paper, we investigated the method for determining mother |
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wavelet. |
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2001 |