A new 2-D zero phase digital filter design with quadrantally symmetric or antisymmetric properties
- 17 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 2, 585-588 vol.2
- https://doi.org/10.1109/iscas.1994.409057
Abstract
A closed-form least-squares solution for the problem of designing two-dimensional (2-D) real zero phase Finite Impulse Response (FIR) filters with quadrantally symmetric or antisymmetric properties is obtained. Then a 2-D Infinite Impulse Response (IIR) filter is synthesized as an approximation of the designed 2-dimensional FIR filter by using the decomposition theorem and the 1-D balanced approximation (BA) method. The designed 2-D IIR filter retains good zero phase property over the passband region. The magnitude error between the 2-D FIR and the 2-D IIR filter is small and can be obtained from the BA method.<>Keywords
This publication has 5 references indexed in Scilit:
- Design of two-dimensional digital filters using singular-value decomposition and balanced approximation methodIEEE Transactions on Signal Processing, 1991
- Synthesis of 2-D linear phase digital filtersIEEE Transactions on Circuits and Systems, 1990
- Design of linear phase, circularly symmetric two-dimensional recursive digital filtersIEEE Transactions on Circuits and Systems, 1989
- An error bound for a discrete reduced order model of a linear multivariable systemIEEE Transactions on Automatic Control, 1987
- On controllability, observability, and minimality of 2-D separable denominator systems: A new approach based on the reduced-dimensional decompositionIEEE Transactions on Circuits and Systems, 1987