Identification of sources of potential fields with the continuous wavelet transform: Basic theory
نویسندگان
چکیده
منابع مشابه
gravity sources identification using continuous wavelet transform
introduction: wavelet transform is one of the useful and suitable tools for time series and signal analysis. nowadays wavelet transform is frequently used in geophysical data processing and interpretation, especially seismic data. however, the use of this method isn’t widespread in gravity and geomagnetic. fedi and quarta (1998), martelet et al. (2001) and de oliveira lyrio (2004) used the wave...
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The multiscale analysis of potential fields is a valid tool to study the source properties. Among multiscale methods, the Continuous Wavelet Transform (CWT) is well established due to its natural filtering properties. From the beginning the choice of the analyzing wavelet has been the set belonging to the Poisson kernel: within this framework the CWT can be easily performed by upward continuing...
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15 صفحه اولTheory of wavelet transform over finite fields
In this paper, we develop the theory of the wavelet transform over Galois elds. To avoid the limitations inherent in the number theoretic Fourier transform over nite elds, our wavelet transform relies on a basis decomposition in the time domain rather than in the frequency domain. First, we characterize the in nite dimensional vector spaces for which an orthonormal basis expansion of any sequen...
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ژورنال
عنوان ژورنال: Journal of Geophysical Research: Solid Earth
سال: 1999
ISSN: 0148-0227
DOI: 10.1029/1998jb900106