Convergence of wavelet thresholding estimators of differential operators
نویسندگان
چکیده
منابع مشابه
Spectrum estimation by wavelet thresholding of multitaper estimators
Current methods for power spectrum estimation by wavelet thresholding use the empirical wavelet coefficients derived from the log periodogram. Unfortunately, the periodogram is a very poor estimate when the true spectrum has a high dynamic range and/or is rapidly varying. Also, because the distribution of the log periodogram is markedly non-Gaussian, special waveletdependent thresholding scheme...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولConvergence Properties of Wavelet Estimators with Multiple Sampling Rates
Adaptive sampling schemes with multiple sampling rates have the potential to significantly improve the efficiency and effectiveness of methods for signal analysis. For example, in the case of equipment which transmits data continuously, multi-rate methods can reduce the cost of transmission. For equipment which transmits data only periodically they can reduce the costs of both storage and trans...
متن کاملRepresentation of Differential Operators in Wavelet Basis∗
Existing work on the representation of operators in one-dimensional, compactly-supported, orthonormal wavelet bases is extended to two dimensions. The non-standard form of the representation of operators is given in separable two-dimensional, periodic, orthonormal wavelet bases. The matrix representation of the partial differential operators ∂x and ∂y are constructed and a closed form formula f...
متن کاملShannon wavelet approximations of linear differential operators
Recent works emphasized the interest of numerical solution of PDE’s with wavelets. In their works [3, 4], A. Cohen, W. Dahmen and R. DeVore focussed on the non linear approximation aspect of the wavelet approximation of PDE’s to prove the relevance of such methods. In order to extend these results, we focuss on the convergence of the iterative algorithm, and we consider different possibilities ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2008
ISSN: 1063-5203
DOI: 10.1016/j.acha.2008.02.001