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Gabor dual spline windows. (English) Zbl 1174.42038
Author’s abstract: A method is presented for constructing dual Gabor window functions that are polynomial splines. The spline windows are supported in $\left[-1,1\right]$, with a knot at $x=0$, and can be taken ${C}^{m}$ smooth and symmetric. The translation and modulation parameters satisfy $a=1$ and $0. The full range $0 is handled by introducing an additional knot. Many explicit examples are found.
##### MSC:
 42C15 General harmonic expansions, frames
##### Keywords:
Gabor system; dual frame
##### References:
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