Design of zero-phase, multiform, tiltable two-dimensional filters
Date of Original Version
This paper advances a novel and relatively simple scheme for designing two-dimensional (2-D) filters with zero phase. The proposed filters are obtained by a nonlinear mapping of a one-dimensional (1-D) magnitude response into a 2-D filter. By appropriately constraining the filter parameters, a wide variety of passband iso-contour shapes can be generated in the frequency-frequency plane, e.g., tilted or untilted ellipses, circles, diamonds, parallel strips at arbitrary angles, crosses, and 'snowflakes'. Simple equations for designing the filter's parameters that meet or exceed user specifications are given for the special cases when the 1-D prototype is the magnitude response of a Gaussian, Butterworth, Chebyshev, or inverse Chebyshev filter. A scheme for designing fan filters with arbitrary angle is also provided.
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Boudreaux-Bartels, G. F., and Antonio H. Costa. "Design of zero-phase, multiform, tiltable two-dimensional filters." ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings 4, (1995): 2603-2606. https://digitalcommons.uri.edu/ele_facpubs/150