A method for the design of a class of 2-D IIR variable cutoff boundary filters

A method of designing a class of 2-D IIR (infinite-impulse-response) filters with a variable cutoff boundary is presented. The transfer function of this class of 2-D filters has a zero-phase two-variable polynomial in z/sub 1/ and z/sub 2/ in the numerator and two separable polynomials (D/sub 1/(z/sub 1/), D/sub 2/(z/sub 2/)) in the denominator. The transformations used for changing the cutoff boundary are A.V. Oppenheim's (1976) for the numerator and spectral transformations for the denominator of the transfer function. It is demonstrated that the proposed method results in 2-D filters having better circular contours than the existing techniques. This technique also allows one to perform circular-to-elliptic transformation.<<ETX>>