An improved algorithm for ordering poles and zeros of fixed-point recursive digital filter
Ken Steiglitz, Bede liu · IEEE Transactions on Acoustics Speech and Signal Processing · 1976
An improved algorithm is presented for ordering the poles and zeros of fixed-point recursive digital filters so as to minimize the effect of roundoff noise. The method proceeds by successive improvement, and yields local optima which cannot be improved further by interchanging a pair of poles or zeros. The resulting assignments found for four filters of orders 8-22 are the best known.