A theorem on general LC-R ladder filters

It is shown that any real rational function with arbitrary zeros and pure imaginary poles, all preassigned except for a factor p^{r} in either the numerator or denominator, is the characteristic function of a filter which may be realized by a transformerless, inductance, capacitance ladder terminate...

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Veröffentlicht in:	IEEE transactions on circuits and systems 1984-03, Vol.31 (3), p.293-296
1. Verfasser:	Fialkow, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Adaptive signal processing Applied sciences Capacitance Capacitors Circuit properties Educational institutions Electric, optical and optoelectronic circuits Electronic circuits Electronics Exact sciences and technology Filters Frequency filters Impedance Inductance Noise cancellation Poles and zeros Polynomials
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description	It is shown that any real rational function with arbitrary zeros and pure imaginary poles, all preassigned except for a factor p^{r} in either the numerator or denominator, is the characteristic function of a filter which may be realized by a transformerless, inductance, capacitance ladder terminated in resistance if r is sufficiently great.
doi_str_mv	10.1109/TCS.1984.1085488
format	Article
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subjects	Adaptive signal processing Applied sciences Capacitance Capacitors Circuit properties Educational institutions Electric, optical and optoelectronic circuits Electronic circuits Electronics Exact sciences and technology Filters Frequency filters Impedance Inductance Noise cancellation Poles and zeros Polynomials
title	A theorem on general LC-R ladder filters
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