New realization and implementation of IIR digital filters using residue feedback

A new low-roundoff realization for narrow-band IIR digital filters, which uses the residue feedback technique, is presented. The structure has a saving of N(N-2)/2 multiplies over the optimal structure proposed by Mullis, Roberts [1976] and Hwang [1977], as well as, the optimal residue feedback structure proposed by Williamson [1986]. The output roundoff noise for the proposed structure is slightly higher than that of the structure proposed by Williamson. Further, the proposed structure has a block-triangular state-update matrix which is suitable for high-speed hardware implementation. A VLSI array-processor implementation of the proposed IIR structure in which the computation rate is maximized is also presented.<
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