Synthesis of Bessel filters with prescribed RLC load
Abstract
The design is presented of a coupling network between a given RLC load and a resistive generator over a finite frequency band to achieve the Bessel transducer powergain characteristic of arbitrary order. Youla's theory is used to obtain constraints in terms of the coefficients of the Laurent series expansions of the boundedreal reflection coefficient and two other functions determined by the given load impedance. Formulas are derived for the coefficients of the numerator polynomial of the boundedreal reflection coefficient for networks of order one or two with dc gain not greater than unity and for networks of order three with unit dc gain. Tabulated values are obtained for networks of higher order. Design curves are graphically given which relate the normalized zeros of the allpass function and the maximum load inductance.
 Publication:

Journal of The Franklin Institute
 Pub Date:
 July 1984
 Bibcode:
 1984FrInJ.318....1A
 Keywords:

 Coupling Circuits;
 Electronic Filters;
 Impedance Matching;
 Network Synthesis;
 Rlc Circuits;
 Bessel Functions;
 Circuit Diagrams;
 Constraints;
 Design Analysis;
 Power Gain;
 Electronics and Electrical Engineering