Results 41 to 50 of about 489,037 (244)
Choosing Wavelet Methods, Filters, and Lengths for Functional Brain Network Construction
, 2015 Wavelet methods are widely used to decompose fMRI, EEG, or MEG signals into time series representing neurophysiological activity in fixed frequency bands.
Bassett, Danielle S. +4 more
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Wavelet Estimators in Nonparametric Regression: A Comparative Simulation Study [PDF]
, 2001 Wavelet analysis has been found to be a powerful tool for the nonparametric estimation of spatially-variable objects. We discuss in detail wavelet methods in nonparametric regression, where the data are modelled as observations of a signal contaminated ...
Antoniadis, Anestis +2 more
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Nonhomogeneous Wavelet Systems in High Dimensions [PDF]
, 2010 It is of interest to study a wavelet system with a minimum number of generators. It has been showed by X. Dai, D. R. Larson, and D. M. Speegle in [11] that for any $d\times d$ real-valued expansive matrix M, a homogeneous orthonormal M-wavelet basis can ...
Han, Bin
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A recursive scheme for computing autocorrelation functions of decimated complex wavelet subbands [PDF]
, 2010 This paper deals with the problem of the exact computation of the autocorrelation function of a real or complex discrete wavelet subband of a signal, when the autocorrelation function (or Power Spectral Density, PSD) of the signal in the time domain (or ...
Aelterman, Jan +3 more
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On the regularity of wavelets [PDF]
IEEE Transactions on Information Theory, 1992 Summary: The regularity index \(\alpha_ N\) of the scaling functions \(_ N\phi\), \(N=2,3,\dots\), of multiresolution analysis introduced by \textit{I. Daubechies} [Commun. Pure Appl. Math. 41, No. 7, 901-996 (1988; Zbl 0644.42026)] is investigated.
openaire +3 more sources
A Biorthogonal Hermite Cubic Spline Galerkin Method for Solving Fractional Riccati Equation
Mathematics, 2022 This paper is devoted to the wavelet Galerkin method to solve the Fractional Riccati equation. To this end, biorthogonal Hermite cubic Spline scaling bases and their properties are introduced, and the fractional integral is represented based on these ...
Haifa Bin Jebreen, Ioannis Dassios
doaj +1 more source
Physics-Uspekhi, 2001 This review paper is intended to give a useful guide for those who want to apply discrete wavelets in their practice. The notion of wavelets and their use in practical computing and various applications are briefly described, but rigorous proofs of mathematical statements are omitted, and the reader is just referred to corresponding literature.
Vladimir A. Nechitailo +2 more
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Oversampling of wavelet frames for real dilations [PDF]
, 2012 We generalize the Second Oversampling Theorem for wavelet frames and dual wavelet frames from the setting of integer dilations to real dilations. We also study the relationship between dilation matrix oversampling of semi-orthogonal Parseval wavelet ...
Bownik, Marcin, Lemvig, Jakob
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