A state-space approach to cascade transfer function synthesis with grounded amplifier and capacitor realizations†
作者:
A. W. KEEN,
JACQUELINEL. GLOVER,
期刊:
International Journal of Control
(Taylor Available online 1970)
卷期:
Volume 11,
issue 1
页码: 81-100
ISSN:0020-7179
年代: 1970
DOI:10.1080/00207177008905884
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The desired transfer function is expanded into factors having quadratic denominators. Each factor is identified with the setA, B, C, Dof matrices of the state-space representation of a capacitively terminated two-port network that is specified by a transmission matrixT. An equivalence is obtained between the required stateAmatrix and the correspondingTmatrix. Then,Tmatrix synthesis techniques that were developed specifically for use with differential operational amplifiers are applied to obtain realizations of theAmatrix. By synthesizing different decompositions of theTmatrix, different equivalent realizations are obtained and the problem of determining appropriate input and output access ports corresponding to theB, CandDstate matrices is facilitated. A practical feature of the method is that all of the basic transfer functions can be realized with grounded amplifiers and capacitors.
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