Comparing Chebyshev and Butterworth Filter for Designing 2-D Recursive Digital Filter

This paper compares the Chebyshev filter and butterworth filter for designing 2D recursive digital filters starting from a doubly-terminated analog Bridged-T network. This network contains inductive and capacitive reactance elements in s1 and s2 domains. Starting from transfer function of a Bridged-T network in the analog domain which is VSHP, 2D recursive digital filters can be obtained through the application of the double generalized bilinear transformations with the coefficients in their specified ranges. The impedance values of the transfer function of the Bridged-T network can be obtained with compare to the fourth order Butterworth polynomial or Chebyshev polynomial. For different impedance values of the Bridged-T network which are obtained with compare to Chebyshev and butterworth filter, we can get different types of filter output, depending on the starting network and the coefficients of the generalized bilinear transformations