A theorem on general LC-R ladder filters

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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Beschreibung
Zusammenfassung: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.
ISSN:0098-4094
1558-1276
DOI:10.1109/TCS.1984.1085488