Closed-Form Design of Maximally Flat IIR Hilbert Transformer with Integer Delay
Journal
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Journal Volume
57
Journal Issue
11
Pages
2925-2937
Date Issued
2010-11
Author(s)
Abstract
This paper presents the closed-form designs of an infinite-impulse-response (IIR) Hilbert transformer with an integer delay. The maximally flat criterion is applied at the midband frequency π/2. These designs are further categorized into eight types according to the filter orders and the delay values being even or odd. Their coefficients can be explicitly solved in closed form. A recursive relation also exists, facilitating the computation of these coefficients. Moreover, under the suggested relations and formula for the design parameters based on the EnestrmKakeya theorem, we can obtain a satisfactory stable IIR Hilbert transformer. © 2006 IEEE.
Other Subjects
Butterworth filters; Computation theory; Impulse response; Mathematical transformations; EnestrmKakeya theorem; Fractional delay; Hilbert transform; Infinite impulse response; Maximally flat; IIR filters
Type
journal article