Details

The filter coefficients are obtained by taking the Laplace transform of and then converting the results to discrete time expressions in the domain. The coefficients of the domain denominator can be used in the recursion equation. The coefficients that produce an oscillation are not unique, since each of the methods for producing a discrete domain from a continuous domain (i.e. bilinear transform, zero-order hold, first-order hold, etc.) result in different coefficients.