Circuits, Matrices and Linear Vector Spaces by Lawrence P. Huelsman
Author:Lawrence P. Huelsman
Language: eng
Format: epub, pdf
Publisher: Dover Publications, Inc.
Published: 2013-06-13T16:00:00+00:00
Figure 4.46 A realization for a nondominant nonsymmetric y-parameter matrix.
We see that a gyrator will be required between ports 1 and 3, and a negative resistance (due to the nondominance of the third row and column of the symmetric matrix) will be required at port 3. The (n + 1)-terminal realization is shown in Fig. 4.46.
A similar treatment can be made for networks which are realizable as two-type-element networks: RC, RL, or LC networks. In these cases, each element of the y-parameter matrix can be expressed as a partial-fraction expansion. The matrix can then be expressed as a sum of residue matrices. For example, for an RC realization, we may write
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