Analytical Design of Arbitrary Oriented Asteroidal 2-D FIR Filters
Novel approach to the analytical design of asteroidally shaped two-dimensional FIR filters with arbitrary orientation of the frequency response in the frequency plane is presented. The design consists of two steps. In the first step, the asteroidal 2-D FIR filter in the basic position along the frequency coordinates is designed. The design is based on the analytical contour approximation using the parametric representation of the contour. Closed form formulas for the approximation of the contour with asteroidal shape were derived. In the second step, the asteroidally shaped FIR filter is rotated by the desired angle in the frequency plane. Closed form formulas for the calculation of the impulse response of the filter are presented. One example demonstrates both steps of the design procedure.
KeywordsFrequency Response Impulse Response Arbitrary Orientation Frequency Plane Closed Form Formula
- 1.McClellan, J.H.: The Design of Two-dimensional Digital Filters by Transformation. In: Proc. 7th Ann. Princeton Conf. Inform. Sci. and Syst., March 1973, pp. 247–251 (1973)Google Scholar
- 8.Lukac, R.: Simplified Boolean LUM Smoothers. In: Proceedings of the 4th EURASIPIEEE Region 8 International Symposium on Video/Image Processing and Multimedia Communications VIPromCom-2002, Zadar, Croatia, June 16-19, pp. 159–162 (2002)Google Scholar
- 9.Lukac, R.: The Way How to Design and Implement an Adaptive Method Based on Center-Weighted Medians. In: Proceedings of the IEEE Scientific Workshop Signal Processing 2002, Poznan, Poland, October 11, pp. 9–14 (2002)Google Scholar