Optimal in the Hankel norm reduction of digital IIR filter order

Mikhail Kagalenko · 2016

This work presents a method to construct near-optimal rational approximation to a rational function of higher degree. We develop an algorithm to perform singular value decomposition of infinite Hankel matrix that has a finite rank and use this decomposition to construct Adamyan-Arov-Krein approximant. We apply the result to the task of constructing an IIR digital filter.

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