Discrete-Time Fractional Differentiation from Integer Derivatives

H. Farid

Technical Report, TR2004-528, Dartmouth College, Computer Science

Paper (ps.gz)    Paper (pdf)    Bibtex

Discrete-time fractional derivative filters (1-D and 2-D) are shown to be well approximated from a small set of integer derivatives. A fractional derivative of arbitrary order (and, in 2-D, of arbitrary orientation) can therefore be efficiently computed from a linear combination of integer derivatives of the underlying signal or image.