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Keywords (2)<br />

Academic <strong>Publication</strong>s Daubechies <strong>com</strong>pactly <strong>supported</strong> <strong>wavelets</strong> <strong>with</strong> <strong>minimal</strong> <strong>heisenberg</strong> <strong>boxes</strong><br />

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Frequency Domain<br />

Scale Function<br />

Daubechies <strong>com</strong>pactly <strong>supported</strong> <strong>wavelets</strong> <strong>with</strong> <strong>minimal</strong> <strong>heisenberg</strong> <strong>boxes</strong><br />

Ž. Gimbutas, A. Bastys<br />

The centers and radii of orthonormal scaling functions and <strong>wavelets</strong> are found in time and frequency domains using a two-scale<br />

relation. All <strong>com</strong>pactly <strong>supported</strong> orthogonal <strong>wavelets</strong> <strong>with</strong> support on the interval [0, 3] fail to have radii in the frequency domain.<br />

On the other hand, a Daubechies wavelet <strong>with</strong> support on the interval [0, 3] has optimal resolution in the frequency domain.<br />

Journal: Lithuanian Mathematical Journal - LITH MATH J , vol. 35, no. 4, pp. 343-362, 1995<br />

DOI: 10.1007/BF02348823<br />

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References (13)<br />

Necessary and sufficient conditions for constructing orthonormal wavelet bases (Citations: 110)<br />

W. Lawton<br />

Published in 1991.<br />

The wavelet transform, time-frequency localization and signal analysis (Citations: 1880)<br />

Ingrid Daubechies<br />

Journal: IEEE Transactions on Information Theory - TIT , vol. 36, no. 5, pp. 961-1005, 1990<br />

Orthonormal Bases of Compactly Supported Wavelets II. Variations on a Theme (Citations: 107)<br />

Ingrid Daubechies<br />

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Journal: Siam Journal on Mathematical Analysis - SIAM J MATH ANAL , vol. 24, no. 2, 1993


Orthonormal Bases of Compactly Supported Wavelets III. Better Frequency Resolution (Citations: 13)<br />

A. Cohen, Ingrid Daubechies<br />

Journal: Siam Journal on Mathematical Analysis - SIAM J MATH ANAL , vol. 24, no. 2, 1993<br />

Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions (Citations: 108)<br />

Ingrid Daubechies, Jeffrey C. Lagarias<br />

Journal: Siam Journal on Mathematical Analysis - SIAM J MATH ANAL , vol. 22, no. 5, 1991<br />

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