Arbitrary real-order cost functions for signals and systems

  • Authors:

  • M. Romero;A. P. de Madrid;B. M. Vinagre

  • Affiliations:

  • Escuela Técnica Superior de Ingeniería Informática, UNED, Juan del Rosal, 16, 28040 Madrid, Spain;Escuela Técnica Superior de Ingeniería Informática, UNED, Juan del Rosal, 16, 28040 Madrid, Spain;Escuela de Ingenierías Industriales, Universidad de Extremadura, Avda. de Elvas, s/n. 06071 Badajoz, Spain

  • Venue:
  • Signal Processing
  • Year:
  • 2011

Quantified Score

Hi-index 0.08

Visualization

Abstract

This work focuses on a new type of cost function based on fractional operators. To do so, the concept of definite integral is extended to arbitrary real-order. Some properties of this new fractional-order definite integral are studied and a fractional-order Barrow's rule is proposed. It is illustrated by an example (the design of an IIR filter) how this new kind of cost function can be a valuable tool in problems where optimal design methods are involved.