Table of Contents
ISRN Electronics
Volume 2013 (2013), Article ID 493973, 14 pages
Research Article

Analysis and Design of Digital IIR Integrators and Differentiators Using Minimax and Pole, Zero, and Constant Optimization Methods

1Department of Electronics and Communication Engineering, Jaypee Institute of Information Technology, A-10, Sector 62, Noida, Uttar Pradesh 201307, India
2Advanced Electronics Lab, Division of Electronics and Communication Engineering, Netaji Subhas Institute of Technology, Sector 3, Dwarka, New Delhi 110075, India
3Instrument Design and Development Centre, Indian Institute of Technology, Hauz Khas, New Delhi 110016, India

Received 17 April 2013; Accepted 7 May 2013

Academic Editors: C. W. Chiou, E. I. El-Masry, and E. Tlelo-Cuautle

Copyright © 2013 Madhu Jain et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Proposed work deals with the design of a family of stable IIR digital integrators via use of minimax and pole, zero, and constant optimization methods. First the minimax optimization method is used to design a family of second-, third-, and fourth-order digital integrators by optimizing the magnitude response in a min-max sense under the satisfactory condition of constant group delay. Then the magnitude and group delay response is further improved using pole, zero, and constant optimization method. Subsequently, by modifying the transfer function of all of the designed integrators appropriately, new differentiators are obtained. Simulation results show that proposed approach outperforms existing design methods in terms of both magnitude and phase response.