Linear fractionally invariant systems: Fractional filtering and correlation via fractional operators

Authors

Olcay Akay, University of Rhode Island
G. Faye Boudreaux-Bartels, University of Rhode IslandFollow

Document Type

Conference Proceeding

Date of Original Version

1-1-1998

Abstract

Using our recently introduced fractional operators, we formulate linear fractionally invariant systems as a generalization of linear time invariant and linear frequency invariant systems. We give explicit expressions for convolution and correlation operations for fractional domains and investigate some of their properties. We also provide alternative formulations of fractional convolution and correlation in terms of the fractional Fourier transform (FRFT) and conventional time-domain convolution and correlation. We define fractional autocorrelation and state its relation with the narrowband ambiguity function.

Publication Title, e.g., Journal

Conference Record of the Asilomar Conference on Signals, Systems and Computers

Volume

2

Citation/Publisher Attribution

Akay, Olcay, and G. F. Boudreaux-Bartels. "Linear fractionally invariant systems: Fractional filtering and correlation via fractional operators." Conference Record of the Asilomar Conference on Signals, Systems and Computers 2, (1998): 1494-1498. https://digitalcommons.uri.edu/ele_facpubs/136