The realization of grounded active RC multiport networks with a minimum number of capacitors |
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| Authors: | Borivoje B Stamenkovi? |
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| Institution: | Institute of Nuclear Sciences “Boris Kidrich”, Electronics Department (120), P.O. Box 522, 11001 Beograd, Yugoslavia |
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| Abstract: | Applying a state-space technique and the reactance extraction principle in the realization of multiport network functions by means of grounded active RC networks containing grounded voltage-controlled voltage sources (VCVSs) and using a minimum number of grounded capacitors, a new theorem concerning the least upper bound on the number of grounded VCVSs sufficient for the realization is proved. The obtained expression for the least upper bound allows one to generate the least upper bound on the number of VCVSs sufficient to realize each of all possible different types of multiport network functions.The proof of the theorem is based upon the use of results concerning the number of VCVSs sufficient and, in general, necessary to realize an arbitrary real multiport network function by means of grounded active resistive multiport networks embedding grounded VCVSs, and on the results concerning the possibility of choosing a convenient equivalent minimal system realization. |
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