Discrete-Time Fractional Differentiation from Integer Derivatives 

Dartmouth Technical Report TR2004-528

	Hany Farid

Date: December 2004

URL (PDF): <http://www.cs.dartmouth.edu/reports/TR2004-528.pdf> (648KB)

Abstract:
 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.