DESIGN OF ADMITTANCES USING PARALLELED RESONATORS.
NEW YORK UNIV N Y LAB FOR ELECTROSCIENCE RESEARCH
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The report presents an extension and application of Maximally Flat Magnitude Driving Point Functions to the design of flat band-pass admittances using approximation procedures. Poles are pre-specified according to the low pass MFM array described in a previous paper. The resonator inverse inductances are taken as coefficients to be manipulated for the desired flat magnitude response. A tabulation of the sensitivities of the magnitude response at various frequencies to these parameters was shown to be sufficient for the design of flat driving point functions. A continuum of paralleled resonators with parameters distributed in some arbitrary continuous variable x was studied. It was shown that the properties of this function are closely related to the properties of a discrete paralleled resonator distribution with similar parameters. Realization of a general specified admittance magnitude using only paralleled resonators, and including shunt capacitance, is shown to be possible to within a ripple in magnitude. Several examples of admittance shapes are realized using a program designed on this basis. Methods are presented for analysis and design of a usefully large variety of admittances using only paralleled resonators. Author
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