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X-Parameters by Jason Horn, Jan Verspecht, David E. Root

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3 Spectral linearization approximation

3.1 Simplification of basic X-parameters for small mismatch

The considerations used for the definition of X-parameters apply to the steady-state behavior of time-invariant nonlinear components with incident (and hence also scattered) waves on a harmonic frequency grid. The generality of the formalism comes at the cost of considerable complexity. Each spectral map is a nonlinear function of every applied DC-bias condition and all the magnitudes and phases of each spectral component of every signal at every port. Sampling such behavior in all variables for many ports and harmonics would be prohibitive in terms of data acquisition time, data file size, and model simulation speed.

Fortunately, in most cases of ...

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