Name
Abstract | ||
|---|---|---|
This paper is concerned with the minimal realization problem of a third-order real symmetric matrix as the admittance of three-port resistive networks. First, a necessary and sufficient condition is derived for a real symmetric matrix to be realizable as the admittance of three-port resistive networks with four terminals and at most k elements, where k ∈ {1,2,...,5}. Since it is well-known that the matrix must be paramount, necessary and sufficient conditions are obtained for any paramount matrix to be realizable as the admittance of three-port resistive networks with at most k elements, where k ∈ {1,2,3,4}. Moreover, a necessary and sufficient condition is derived for a paramount matrix that cannot be realized with less than five elements to be realizable as the admittance of three-port resistive networks with five elements. Finally, some numerical examples are presented to illustrate the results. The results of this paper can contribute to solving minimal realization problems of one-port and multi-port transformerless networks with more than one kind of elements. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1109/TCSI.2015.2390560 | IEEE Trans. on Circuits and Systems |
Keywords | Field | DocType |
paramountcy,network synthesis,passive network synthesis,third-order real symmetric matrix,matrix algebra,three-port resistive networks,multiport networks,multiport transformerless networks,resistors,capacitors,admittance,symmetric matrices,impedance | Control theory,Matrix (mathematics),Resistive touchscreen,Electronic engineering,Symmetric matrix,Admittance,Minimal realization,Mathematics | Journal |
Volume | Issue | ISSN |
62 | 4 | 1549-8328 |
Citations | PageRank | References |
5 | 0.48 | 12 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kai Wang | 1 | 39 | 5.22 |
| Michael Z. Q. Chen | 2 | 282 | 22.00 |