Identification of Lossy Y-Type Two-Port Circuit Models under Measurement Uncertainties: Closed-Form Solution and Statistical–Perturbative Characterization

The present paper treats a black-box estimation of the three independent parameters reciprocal lossy two-port network whose terminals are supposed to be accessible an impedance measurement device. discussed method is based on availability number data pairs made external load admittances paired equivalent affected by errors. proposed framed as squared-estimation-error minimization problem that leads system nonlinear equations in unknown parameters. A key observation is, however, core subsystem two may turned exactly linear form and hence solved closed form. purely real-valued case treated first since it serves clarify optimization at hand structure its solution. In case, statistical analysis carried out well, which affords evaluation effects results afford quantifying dependence errors from samples variance Subsequently, full complex-valued treated. Results numerical simulations complement illustrate theoretical findings. obtained confirm identification effective.