Active networks having biquadratic transfer functions

Amplifiers – Signal feedback – Phase shift means in loop path

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330 85, H03F 136

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active

040577660

ABSTRACT:
First, second, and third single-input, single-output operational amplifiers having associated input resistors and feedback resistors are connected in series between input and output terminals. First and second capacitors are also connected across associated first and second amplifiers to provide a second-order network transfer function. A fourth feedback resistor is connected between the output terminal of the third amplifier and the amplifier side of the first input resistor. The amplifier input sides of the second and third input resistors are also connected through associated feed-forward resistors to the one side of the first input resistor that is spaced from the first amplifier. Appropriate selection of element values enables synthesis of circuits having prescribed biquadratic transfer functions.

REFERENCES:
patent: 3501716 (1970-03-01), Ferch et al.
patent: 3715679 (1973-02-01), Fleischer
Tow, "Active RC Filters-A State-Space Realization," Proceedings Letters, Proceedings of the IEEE, June 1968, pp. 1137-1139.
Tow, "A Step-by-Step Active-Filter Design," IEEE Spectrum, Dec. 1969, pp. 64-68.
Thomas, "The Biquad; Part I-Some Practical Design Considerations," IEEE Transactions on Circuit Theory, vol. CT-18, No. 3, May 1971, pp. 350-357.
Thomas, "The Biq ad: Part II-A Multipurpose ACtive Filtering System," Ieee Transactions on Circuit Theory, vol. CT-18, No. 3, May 1971, pp. 358-361.
Kerwin et al., "State-Variable Synthesis for Insensitive Integrated Circuit Transfer Functions," IEEE Journal of Solid State Circuits, vol. SC2, No. 3, Sept. 1967, pp. 87-92.

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