Orthogonal wavelet transform of signal based on complex B-spline bases. (English) Zbl 1263.42026
The authors use orthogonal complex-valued functions and symmetric B-splines to construct a complex-valued B-spline basis and an associated orthogonal wavelet transform. They prove that this new wavelet transform is symmetric and continuous, and that, at the highest level of approximation, the spline approximation functions are interpolatory. An algorithm to implement the wavelet transform is also presented.
Reviewer: Peter Massopust (München)
MSC:
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 30E10 | Approximation in the complex plane |
| 41A15 | Spline approximation |
| 65D07 | Numerical computation using splines |
| 65T60 | Numerical methods for wavelets |
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