It is shown that any real rational function with arbitrary zeros and pure imaginary poles, all preassigned except for a factor 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 is sufficiently great.
Keywords :
Ladder filters; Adaptive signal processing; Capacitance; Capacitors; Educational institutions; Filters; Impedance; Inductance; Noise cancellation; Poles and zeros; Polynomials;