In this paper we approach twin-T design with a view to controlling the sensitivity of the transmission zero with respect to component variations, according to criteria that are of particular interest in the design of hybrid integrated linear active networks. We give design examples and derive conditions that relate null depth and component characteristics with expected zero displacement in the s-plane.

Expansion of an Active Synthesis Technique

A general approach to twin-t design and its application to hybrid integrated linear active networks

This paper presents a new cascade synthesis of RC transfer functions with an unspecified multiplying constant. The method is based on a topological identity for cascaded RLC twoports and a theorem on the realization of RC voltage transfer functions with a prescribed termination. Proofs of the topological identity and the realizability theorem are given. The minimal realization of a class of biquadratic transfer functions is investigated, and some sufficient conditions for a fiveelement realization are found. The use of these results in the present synthesis procedure yields a relatively simple realization of RC transfer functions having one pair of complex zeros and any number of real zeros in the left half-plane. Several numerical examples are given, and comparisons are made with the results obtained by other well-known methods.

A Simplified Cascade Synthesis of RC Transfer Functions

In this thesis, the operational amplifier is defined and analyzed in circuit applications from the viewpoint of a network theoreisto This leads to an equivalence theorem relating different types of infinite gain controlled sources, A number of active synthesis techniques utilizing the operational amplifier are discussed. Several ideal devices are realized using the operational amplifier. Noteworthy among these are a negative-immittance converter realization using a single operational amplifier and a number of gyrator circuits. It is concluded that the operational amplifier should be more seriously considered for use in non-computer circuit applications. ACKNOWLEDGMENT The author would like to express his sincere appreciation to Dr, L. P. Huelsman for his helpful criticisms and suggestions regarding the writing of this thesis.

The use of operational amplifiers in active network theory

http://ieeexplore.ieee.org/iel5/8147/23383/01082329.pdf

A New Technique for Twin-T RC Network Synthesis

Transfer functions with complex poles, as well as zeros, are sometimes implemented by means of arrangements in which feedback is applied to the ground node of a passive network. Formulation of the voltage transfer function of the passive network T(s) = P(s)/Q(s) , in terms of admittance products, permits topological organization of the components of the network into subsets of numerator two-trees and denominator two-trees. All numerator two-trees are immune to feedback. Some denominator two-trees are susceptible to feedback, others are not. Identification of susceptible two-trees simplifies the mathematics; it also facilitates determination of alternative designs.

Expansion of an Active Synthesis Technique

Citations

A general approach to twin-t design and its application to hybrid integrated linear active networks

A Simplified Cascade Synthesis of RC Transfer Functions

The use of operational amplifiers in active network theory

A New Technique for Twin-T RC Network Synthesis

Note on the Analysis and Synthesis of Active RC Filters

References

Frequency discriminative electric transducer

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