State-Space Method

S-parameters describe a system in terms of its frequency-dependent responses. The state-space model assumes a linear time-invariant (LTI) system with a vector of inputs u(t) of length P and a vector of outputs y(t) of length Q:

Model of Linear Time-Invariant System

The state-space model represents the data as a vector of N state variables x(t) representing the responses of the system for all inputs in the specified range, and four state-space matrices, A, B, C, and D.

State and Output Equations

Transfer Function

Impulse Response

Tsuk-White Algorithm (TWA) Fitting Method