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Journal ArticleDOI

Synthesis of N-port active RC networks

I. W. Sandberg
- 01 Jan 1961 - 
- Vol. 40, Iss: 1, pp 329-347
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TLDR
The following basic theorem concerning active RC networks is proved in this paper : an arbitrary N × N matrix of real rational functions in the complex-frequency variable can be realized as the short-circuit admittance matrix of a transformerless active RC N-port network containing N real-coefficient controlled sources.
Abstract
The following basic theorem concerning active RC networks is proved: Theorem: An arbitrary N × N matrix of real rational functions in the complex-frequency variable (a) can be realized as the short-circuit admittance matrix of a transformerless active RC N-port network containing N real-coefficient controlled sources, and (b) cannot, in general, be realized as the short-circuit admittance matrix of an active RC network containing less than N controlled sources.

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Citations
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Synthesis of new nonlinear network elements

TL;DR: In this paper, the basic problem of synthesizing a nonlinear resistor, inductor, or capacitor with a prescribed i-v, φ-i, or q-v curve is solved by introducing three new linear two-port network elements, namely the mutator, the reflector, and the scalor.
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Generation of all finite linear circuits using the integrated DVCCS

TL;DR: In this article, the differential voltage controlled current source (DVCCS) was shown to yield in a relatively simple manner and in integrated form all components needed for linear circuit construction.
Journal ArticleDOI

Synthesis of transformerless active N-port networks

TL;DR: In this paper, it was shown that an arbitrary symmetric N × N matrix of real rational functions in the complex-frequency variable (a) can be realized as the immittance matrix of an N-port network containing only resistors, capacitors, inductors, ideal transformers, and negative-RC impedances if M < N.
Journal ArticleDOI

Synthesis of Rational Transfer and Admittance Matrices with Active RC Common-Ground Networks Containing Unity-Gain Voltage Amplifiers

TL;DR: In this article, the authors show that by eliminating the ground constraint on the amplifiers, one can realize any rational transfer or admittance matrix with a common-ground RC : VUGA network.
Journal ArticleDOI

Synthesis of active RC multiport networks with grounded ports

TL;DR: In this article, a synthesis procedure is presented whereby the network function T (s) can be realized as an active RC multiport network with grounded ports, based on V(s) = T (S) U (s), where T is a q × p matrix of real rational functions of the complex variable s, the realization requires a minimum number of grounded capacitors and no more than 2 (p+n) inverting, grounded voltage amplifiers or p+n differential output.
References
More filters
Journal ArticleDOI

A practical method of designing RC active filters

TL;DR: In this article, the authors describe cathode-follower circuits that have stable gain, low output impedance, and a large dynamic range, which can be used to realize sharp cut-off filters at very low frequencies.
Journal ArticleDOI

RC Active Filters

TL;DR: In this article, a class of active RC filters is described in which one active component, a transistor negative-impedance converter, is employed, and simple unbalanced network configurations are obtained in which the number of capacitors in the RC circuits is equal to the total number of reactive elements in the corresponding LC filter.
Journal ArticleDOI

Synthesis of active RC networks

TL;DR: A basic theorem is derived for RC networks containing active elements that it is shown that no more than one active element, embedded in a passive RC network, is needed to realize any driving-point function.
Journal ArticleDOI

Synthesis of driving-point impedances with active RC networks

TL;DR: In this paper, a general method for synthesizing driving point impedances using RC networks and active elements is presented, which realizes any real rational driving point function and leads to rather simple structures.
Journal ArticleDOI

Transfer Function Synthesis of Active RC Networks

TL;DR: In this paper, a general method was found to synthesize voltage transfer functions with complex poles and zeros using RC elements and a practical transistor amplifier, allowing specified source and load resistances.
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