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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.
:
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.
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.
:
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
* S.G. Mallat, ''A Wavelet Tour of Signal Processing'', Academic Press, 1999, * C.S. Burrus, R.A. Gopinath, H. Guo, ''Introduction to Wavelets and Wavelet Transforms: A Primer'', Prentice-Hall, 1988, . * O. Cho, M-J. Lai, A Class of Compactly Supported Orthonormal B-Spline Wavelets in: ''Splines and Wavelets'', Athens 2005, G Chen and M-J Lai Editors pp. 123–151. * M. Unser, Ten Good Reasons for Using Spline Wavelets, ''Proc. SPIE'', Vol.3169, Wavelets Applications in Signal and Image Processing, 1997, pp. 422–431. Continuous wavelets {{mathanalysis-stub