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pro vyhledávání: '"Lars F. Villemoes"'
Publikováno v:
INTERSPEECH
Autor:
Lars F. Villemoes
Publikováno v:
Comptes Rendus Mathematique. 335:793-796
We construct basic wavelet packets with uniformly bounded localization in both time and frequency. The corresponding orthonormal bases of wavelet packets are parametrized by dyadic segmentations obeying a local variation condition. To cite this artic
Publikováno v:
Scopus-Elsevier
This contribution deals with the problem of structure determination for generalized orthonormal basis models used in system identification. The model structure is parameterized by a prespecified set of poles representing a finite-dimensional subspace
Autor:
Lars F. Villemoes, Christoph Thiele
Publikováno v:
Applied and Computational Harmonic Analysis. 3(2):91-99
We first consider orthonormal bases of open face RNconsisting of discretized rescaled Walsh functions, whereNis a power of two. Given a vector, the best basis with respect to an additive cost function is found with an algorithm of orderO(NlogN). The
Autor:
Lars F. Villemoes
Publikováno v:
SIAM Journal on Mathematical Analysis. 25:1433-1460
The Besov regularity of a compactly supported refinement equation solution is determined by the spectral radius of a linear operator acting on $\ell ^p (\mathbb{Z})$. The proof of this is obtained by using a wavelet basis. Exact criteria for Holder a
Autor:
Lars F. Villemoes
Publikováno v:
Applied and Computational Harmonic Analysis. 1:180-187
We characterize the continuous compactly supported solutions to the bidimensional refinement equation where the dilation matrix corresponds to a multiplication by √2 followed by a rotation of π/4. The exact Hölder exponent is found in terms of th
Autor:
Lars F. Villemoes
Publikováno v:
SIAM Journal on Mathematical Analysis. 23:1519-1543
This paper indicates how to find energy moments in direct and Fourier space of a solution to the functional equation $u(x) = \sum_{k = 0}^{N - 1} {2c_k u(2x - k)} $ and shows that the Sobolev regularity of u is determined by the spectral radius of a
Autor:
Lars F. Villemoes, M. Lindberg
Publikováno v:
Wavelet Applications in Signal and Image Processing VIII.
We perform adaptive joint space and frequency tilings including all levels in the Haar-Walsh wavelet packet tree for 2D signals. The method gives surprisingly good results in terms of nonlinear approximation. The visual quality of the compressed imag
Autor:
Lars F. Villemoes
Publikováno v:
Applied and Computational Harmonic Analysis. (2):139-162
We develop and analyze a best basis algorithm for orthonormal bases of local cosines which satisfy a uniform bound on their time-frequency concentration. All waveforms are obtained from three elementary window functions by shifts, rescaling, and modu
Conference
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