Table of Contents
ISRN Signal Processing
Volume 2013, Article ID 796830, 10 pages
Research Article

Design of Adjustable Square-Shaped 2D IIR Filters

Faculty of Electronics and Telecommunications, “Gh. Asachi” Technical University, Boulevard Carol I No. 11, 700506 Iaşi, Romania

Received 28 June 2013; Accepted 28 July 2013

Academic Editors: V. Chandran and W. Zuo

Copyright © 2013 Radu Matei. 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.


This paper proposes an analytical design method for two-dimensional square-shaped IIR filters. The designed 2D filters are adjustable since their bandwidth and orientation are specified by parameters appearing explicitly in the filter matrices. The design relies on a zero-phase low-pass 1D prototype filter. To this filter a frequency transformation is next applied, which yields a 2D filter with the desired square shape in the frequency plane. The proposed method combines the analytical approach with numerical approximations. Since the prototype transfer function is factorized into partial functions, the 2D filter also will be described by a factorized transfer function, which is an advantage in implementation.