Puneet Varma (Editor)

Fbsp wavelet

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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.

f b s p ( m - f b - f c ) ( t ) := f b . sinc m ⁡ ( t f b m ) . e j 2 π f c 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.

    References

    Fbsp wavelet Wikipedia
    (Text) CC BY-SA