Closed-form design of maximally flat IIR Hilbert transformer with integer delay

  • Authors:

  • Soo-Chang Pei;Huei-Shan Lin;Peng-Hua Wang

  • Affiliations:

  • Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan;Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan;Graduate Institute of Communication Engineering, National Taipei University, Taipei, Taiwan

  • Venue:
  • IEEE Transactions on Circuits and Systems Part I: Regular Papers
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

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 Eneström-Kakeya theorem, we can obtain a satisfactory stable IIR Hilbert transformer.