Voltage - current digital filters with zero magnitude sensitivity in attenuation zeros

A synthesis technique for 1-D and 2-D digital filters is described. In the filter attenuation zeros, the proposed structure exhibits zero magnitude differential sensitivity with respect to most of the coefficients. This structure is obtained from the voltage-current flow graph of the 1-D and 2-D doubly loaded analog lossless ladder prototype by the bilinear transformation of the variable
s
into
z
. The delay-free loops are removed using some manipulations, which are expressed in a very concise matrix form. In this way so called voltage-current digital filters, which exhibit excellent sensitivity and stability properties, are obtained.