Digital filter realization using successive multiplier-extraction approach

A new approach to the digital filter realization problem is proposed in this paper. In this approach multipliers are extracted one at a time successively in the development of all realizations. The approach is illustrated by finding all possible realizations of a second-order transfer function containing two delays, four multipliers, and four two-input adders with the added restriction that no products of multipliers appear in the expression for the transfer function.