Extracting Analytical Nonlinear Models from Analog Circuits by Recursive Vector Fitting of Transfer Function Trajectories

Abstract

Abstract-This paper presents a technique for automatically

Stochastic Macromodeling of Nonlinear Systems Via Polynomial Chaos Expansion and Transfer Function Trajectories

“…In order to capture strongly nonlinear dynamics, the nonlinear part is implemented as a piecewise combination of linear functions. Other nonlinear function approximations of the residues can be found in [18]- [20]. The time-domain representation of the Wiener-TFT approximation is found by piecewise integration of the residues (13) The constant is found by comparing the system output to the output of the model with .…”

“…In this paper, a novel method is proposed for the variability analysis of complex nonlinear systems based on the calculation of the PC expansion of the Transfer Function Trajectory (TFT) [18]- [20] model of the system under study, indicated below as the PC-TFT model. The proposed technique is particularly suitable to model RF nonlinear circuits thanks to the modeling power of the parametric vector fitting (VF) algorithm [21]- [23] employed by the TFT method.…”

Circuit Partitioning for Behavioral Full Chip Simulation Modeling of Analog and Mixed Signal Circuits

“…In [4], the authors propose to extract behavioral models directly from the netlists by processing simulation results into transfer function trajectories. The method was demonstrated on a small circuit with minimal speedup and the approach is not always automatable.…”

Stochastic macromodeling for hierarchical uncertainty quantification of nonlinear electronic systems

“…The goal of the stochastic macromodeling technique [18] is to express the time-domain variability of a nonlinear system which depends on a vector of normalized random variables ξ via the PC expansion [3]- [8] of the corresponding TFT model [19]- [21] implemented as a multi-channel Wiener system with a linear time-invariant block at the input and a nonlinear readout map. The resulting model is called PC-TFT model and can be expressed as [18]:…”

“…Also, the PC methodology has been proposed for the variability analysis of nonlinear electronic circuits [15]- [18]. Recently in [18], a method has been proposed for the variability analysis of complex nonlinear systems based on the calculation of the PC expansion of Transfer Function Trajectory (TFT) [19]- [21] models. This method can be applied to a broad range of nonlinear circuits thanks to the modeling power of the TFT and it offers the efficiency and accuracy of the PC approach in performing the variability analysis.…”