1. ORTHOGONAL WAVELET TRANSFORM OF SIGNAL BASED ON COMPLEX B-SPLINE BASES.
- Author
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ZHU, XIU-GE, LI, BAO-BIN, and LI, DENG-FENG
- Subjects
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WAVELETS (Mathematics) , *MATHEMATICAL transformations , *SIGNAL processing , *SPLINE theory , *ALGORITHMS , *MATHEMATICAL formulas , *MATHEMATICAL symmetry , *APPROXIMATION theory - Abstract
In this paper, an orthogonal wavelet transform of signal based on complex B-spline bases is given. The new wavelet transform realizes accurate computation of coefficients of complex B-spline base functions. It integrates good properties of orthogonality, symmetry and continuity, and offers better approximations to continuous signal than do the Haar wavelet and Daubechies wavelets. All algorithms of the new orthogonal wavelet transform are based on explicit formulas and easy to be implemented. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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