Broadband macromodelling of passive components using orthonormal vector fitting
نویسندگان
چکیده
Vector fitting is widely accepted as a robust macromodelling tool for efficient frequency domain identification of passive components. The orthonormal vector fitting technique is introduced, which improves the numerical stability of the method, by using orthonormal rational functions. This leads to better conditioned equations, reduces the numerical sensitivity to the choice of starting poles significantly, limits the number of required iterations, and reduces the overall computation time.
منابع مشابه
Improving robustness of vector fitting to outliers in data
Introduction: Robust broadband macromodelling techniques are of crucial importance for efficient time domain and frequency domain simulation of high-speed interconnect structures. The standard vector fitting (VF) algorithm starts from an S-parameter frequency response, sampled at a discrete set of frequencies. It computes a macromodel by minimising a weighted iterative cost function in the L2 s...
متن کاملCombining Krylov subspace methods and identification-based methods for model order reduction
Many different techniques to reduce the dimensions of a model have been proposed in the near past. Krylov subspace methods are relatively cheap, but generate non-optimal models. In this paper a combination of Krylov subspace methods and Orthonormal Vector Fitting is proposed. In that way an optimal model for a large model can be generated. In the first step, a Krylov subspace method reduces the...
متن کاملOrthonormal vector polynomials in a unit circle, Part I: Basis set derived from gradients of Zernike polynomials.
Zernike polynomials provide a well known, orthogonal set of scalar functions over a circular domain, and are commonly used to represent wavefront phase or surface irregularity. A related set of orthogonal functions is given here which represent vector quantities, such as mapping distortion or wavefront gradient. These functions are generated from gradients of Zernike polynomials, made orthonorm...
متن کاملG-Frames, g-orthonormal bases and g-Riesz bases
G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.
متن کاملRobust Identification of Transient Port Responses Using Time Domain Orthonormal Vector Fitting
A robust technique is presented for parametric identification of linear time-invariant systems in the time domain. Based on a Sanathanan-Koerner iteration, the transfer function coefficients are calculated iteratively by minimizing a weighted linear cost function. The time-domain equivalent of the Muntz-Laguerre basis is used to improve the numerical conditioning of the associated system equati...
متن کامل