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Sensitivity performance of all-pole canonical low-pass \(G_m\)-C filters. (English) Zbl 1169.94354

Sensitivity properties of all-pole canonical low-pass \(G^m\)-C filters are investigated. The two most important representatives of this class are leap-frog and inverse follow-the-leader structures. We present a general structure of all-pole canonical low-pass filter of arbitrary order as well as its matrix description. The formulas for sensitivity functions are also given. The comparison of sensitivity properties for canonical structures up to \(10\)-th order is performed for Butterworth, Chebyshev and Bessel filters. Design guidelines that follow from the presented results are also discussed.

MSC:

94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010)