Abstract
We investigate biorthogonal Wilson bases generated by cardinal B-splines. Such bases provide very efficient representations of sinusoids modulated by spline functions. Exact Riesz bounds for such bases are given. Furthermore, we derive an explicit formula for the computation of the dual window functions and determine their decay rates.
Original language | English |
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Pages (from-to) | 597-622 |
Number of pages | 26 |
Journal | Journal of Fourier Analysis and Applications |
Volume | 9 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2003 |
Externally published | Yes |
Keywords
- B-splines
- Exponential Euler splines
- Riesz basis
- Wilson bases