Design of fractional delay filter, differintegrator, fractional Hilbert transformer and differentiator in time domain with Peano Kernel
Journal
IEEE Transactions on Circuits and Systems I: Regular Papers
Journal Volume
57
Journal Issue
2
Pages
391-404
Date Issued
2010-01
Author(s)
Abstract
In this paper, we propose a fractional delay filter, an integer-order differintegrator, a fractional Hilbert transformer, and a fractional differintegrator. Through the time-domain analysis on the desired input and output signals of a linear time-invariant system, we derive a set of linear equations, which can be solved to obtain the coefficients of the desired filter. We also show that the difference between the desired output signal and the actual output of the system can be represented as the convolution of the derivative of the input signal and the Peano kernel. © 2006 IEEE.
Type
journal article