Degree of rational approximation in digital filter realization
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In recursive digital filter design, the amplitude characteristic of an ideal filter has to be translated into a rational function that is pole-free on the closed unit disk and preferably has real coefficients. This is possible through a causal transformation utilizing the tolerance allowance. In this paper we study the degree of uniform approximation by rational functions that fulfill the filter criteria and can be computed by interpolation or the method of least-squares inverses.
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