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Necessary and sufficient conditions for the realisation of a Foster form by transformation methods

Necessary and sufficient conditions for the realisation of a Foster form by transformation methods

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The use of normal co-ordinate transformations to realise driving-point functions is discussed. It is shown that suitable constraints may be placed on the transformation matrix, so that the resulting network is in the form of a Foster realisation. The discussion is extended to include a necessary condition for the transformation matrix that must be used to realise the driving-point function in a Cauer form.

References

    1. 1)
      • E.A. Guillemin . An approach to the synthesis of linear networks through use of normal coordinate transformations leading to more general configurations. IRE Trans.
    2. 2)
      • L.P. Huelsman . (1963) , Circuits, matrices, and linear vector spaces.
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