Fbsp wavelet

In applied mathematics, fbsp wavelets are frequency B-spline wavelets.

fbsp m-fb-fc

These frequency B-spline wavelets are complex wavelets whose spectrum are spline.


 * $$ fbsp^{(\operatorname{m-fb-fc}) }(t) := {\sqrt {fb}} .\operatorname{sinc}^m \left( \frac {t} {fb^m} \right). e^{j2 \pi fc t}  $$

where sinc function that appears in Shannon sampling theorem.


 * m > 1 is the order of the spline
 * fb is a bandwidth parameter
 * fc is the wavelet center frequency

Clearly, Shannon wavelet (sinc wavelet) is a particular case of fbsp.