A generalized direct-form II transposed structure for IIR filter implementation with minimal roundoff noise gain

In this paper, based on a polynomial operator approach a new structure is derived. This structure is a generalization of the direct-form II transposed structures in the conventional shift-operator and the prevailing delta-operator. The use of polynomial operators provides more degrees of freedom for minimizing the roundoff noise gain of the structure without increasing the computation complexity. Numerical examples are presented to illustrate the design procedure. It is shown that the optimized polynomial operators can yield a much better performance than the shift and delta operators.