2-D IIR filter design using the extended McClellan transformation

A straightforward technique using a 1-D to 2-D spectral transformation is proposed for designing 2-D IIR (infinite impulse response) quarter-plane digital filters. Starting with the specification on the magnitude-frequency response of the filter, an optimal extended McClellan transformation is developed. Then a 1-D equiripple IIR digital filter is designed. Introducing the transformation into the 1-D IIR filter, the 2-D IIR quarter-plane digital filter. It is shown how to design 2-D digital filters having a circularly symmetric magnitude-frequency response using this technique, and it is demonstrated that the resulting filter possesses a very good response. The specifications on the frequency response are satisfied with a small error variation, and the stability is always guaranteed without a 2-D stabilization procedure