H - Electricity – 03 – H
Patent
H - Electricity
03
H
333/80
H03H 5/12 (2006.01) H03H 11/00 (2006.01) H03H 11/52 (2006.01)
Patent
CA 1063194
NETWORK WITH SINGLE AMPLIFIER FOR SIMULATING FOR CIRCUIT by Charles E. Schmidt ABSTRACT OF DISCLOSURE The one-port network here includes a pair of terminals and a single differential-input operational amplifier having an output electrically connected through the parallel combination of a resistor R3 and a capacitor C3 to a first input of the amplifier, through a resistor R4 to a second input of the amplifier, and through the series combination of the resistor R3 and a resistor R5 to one terminal of the network which is electrically connected to a ground reference potential. The second input of the amplifier is also connected to ground through a resistor R6. The first and second inputs of the amplifier are also electrically connected through an associated capacitor C1 and resistor R2 to the other terminal of the network. With the capacitances of the two capacitors normalized to values of unity and with the initial constraint that the normalized conductance of the resistors R4 be equal to the sum of the normalized conductances of the resistors R2 and R6, the admittance presented across the network terminals corresponds to that of the parallel combination of an FDNR, a capacitor, and a resistor. With the additional constraint that the product of the normalized conductances of the resistors R3 and R6 be equal to the product of the normalized conductances of the resistors R4 and R5, the impedance presented across the network terminals corresponds to that of the parallel combination of an FDNR and a capacitor. With both the initial constraint and the alternate constraint that the product of the normalized conductances of the resistors R4 and R 5 be equal to the sum of the product of the normalized conductances of the resistors R2 and R6 and the product of - 1 - the normalized conductances of the resistors R3 and R6, the impedance simulated across the network terminals corresponds to that of the parallel combination of an FDNR and a frequency-independent negative resistance. The network impedance is converted to that of an ideal FDNR by connecting a resistor having an appropriate resistance across the network terminals. - 2 -
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