1. How to submit my research paper? What’s the process of publication of my paper?
The journal receives submitted manuscripts via email only. Please submit your research paper in .doc or .pdf format to the submission email: ijsps@ejournal.net.
2. Can I submit an abstract?
The journal publishes full research papers. So only full paper submission should be considered for possible publication...[Read More]

Infinite Impulse Response Digital Filters Design

Phuoc Si Nguyen
Faculty of Electrical and Electronic Engineering, Department of School of Communications and Informatics, Victoria University of Technology, Melbourne, Australia
Abstract—Infinite Impulse Response (IIR) filters can be designed from an analogue low pass prototype by using frequency transformation in the s-domain and bilinear z-transformation with pre-warping frequency; this method is known as frequency transformation from the s-domain to the z-domain. This paper will introduce a new method to transform an IIR digital filter to another type of IIR digital filter (low pass, high pass, band pass, band stop or narrow band) using a technique based on inverse bilinear z-transformation and inverse matrices. First, a matrix equation is derived from inverse bilinear z-transformation and Pascal’s triangle. This Low Pass Digital to Digital Filter Pascal Matrix Equation is used to transform a low pass digital filter to other digital filter types. From this equation and the inverse matrix, a Digital to Digital Filter Pascal Matrix Equation can be derived that is able to transform any IIR digital filter. This paper will also introduce some specific matrices to replace the inverse matrix, which is difficult to determine due to the larger size of the matrix in the current method. This will make computing and hand calculation easier when transforming from one IIR digital filter to another in the digital domain. 
Index Terms—bilinear z-transformation, frequency transformation, inverse bilinear z-transformation, IIR digital filters, warping frequency, pre_warping frequency

Cite: Phuoc Si Nguyen, "Infinite Impulse Response Digital Filters Design," International Journal of Signal Processing Systems, Vol. 5, No. 2, pp. 83-88, June 2017. doi: 10.18178/ijsps.5.2.83-88
Copyright © 2012-2022 International Journal of Signal Processing Systems, All Rights Reserved