A systolic IIR decimator

A discussion is presented of several methods of providing complex pole pairs in the transfer function of a decimator for oversampled converters. Utilization of pole cancellation with added compensating zeros yields a systolic structure that is easily implemented. Decomposition of the coefficient terms of the IIR decimator by means of a high radix modified Booths algorithm recording scheme is shown to be efficient. An extension to the Agarwal and Burrus transformation for poles close to the z=1 point on the z-plane is shown to allow a reduction in the precision of the coefficients.<
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