Journal ArticleDOI
Improving the convergence of vector fitting for equivalent circuit extraction from noisy frequency responses
Reads0
Chats0
TLDR
This paper addresses the convergence properties of a VF when the frequency samples are affected by noise, and suggests a simple modification of the basic VF algorithm based on the identification and removal of the spurious poles.Abstract:
The vector fitting (VF) algorithm has become a common tool in electromagnetic compatibility and signal integrity studies. This algorithm allows the derivation of a rational approximation to the transfer matrix of a given linear structure starting from measured or simulated frequency responses. This paper addresses the convergence properties of a VF when the frequency samples are affected by noise. We show that small amounts of noise can seriously impair or destroy convergence. This is due to the presence of spurious poles that appear during the iterations. To overcome this problem we suggest a simple modification of the basic VF algorithm, based on the identification and removal of the spurious poles. Also, an incremental pole addition and relocation process is proposed in order to provide automatic order estimation even in the presence of significant noise. We denote the resulting algorithm as vector fitting with adding and skimming (VF-AS). A thorough validation of the VF-AS algorithm is presented using a Monte Carlo analysis on synthetic noisy frequency responses. The results show excellent convergence and significant improvements with respect to the basic VF iteration scheme. Finally, we apply the new VF-AS algorithm to measured scattering responses of interconnect structures and networks typical of high-speed digital systemsread more
Citations
More filters
Journal ArticleDOI
Improving the pole relocating properties of vector fitting
TL;DR: In this article, a modification of the vector fitting (VF) procedure for rational function approximation of frequency-domain responses is described. But the modification is limited to the case of single-input single-out (SISO) transmission lines.
Journal ArticleDOI
Macromodeling of Multiport Systems Using a Fast Implementation of the Vector Fitting Method
TL;DR: A robust approach is presented which removes the sparsity of the block-structured least-squares equations by a direct application of the QR decomposition and considerable savings in terms of computation time and memory requirements are obtained.
Journal ArticleDOI
Stability, Causality, and Passivity in Electrical Interconnect Models
TL;DR: This paper presents the fundamental properties of causality, stability, and passivity that electrical interconnect models must satisfy in order to be physically consistent and interpret several common situations where either model derivation or model use in a computer-aided design environment fails dramatically.
Journal ArticleDOI
A New Approach to Modeling Multiport Systems From Frequency-Domain Data
TL;DR: This paper proposes a new approach which is based on a system-theoretic tool, the Loewner matrix pencil constructed in the context of tangential interpolation, which is fast, accurate, they build low order models and are especially designed for a large number of terminals.
Journal ArticleDOI
Overview of Signal Integrity and EMC Design Technologies on PCB: Fundamentals and Latest Progress
TL;DR: The fundamentals and latest progress of modeling, analysis, and design technologies for signal integrity and electromagnetic compatibility on PCB and package in the past decades are reviewed and the necessity of practical training of designers is mentioned.
References
More filters
Journal ArticleDOI
Rational approximation of frequency domain responses by vector fitting
Bjorn Gustavsen,Adam Semlyen +1 more
TL;DR: The paper describes a general methodology for the fitting of measured or calculated frequency domain responses with rational function approximations by replacing a set of starting poles with an improved set of poles via a scaling procedure.
Journal ArticleDOI
Simulation of high-speed interconnects
Ramachandra Achar,Michel Nakhla +1 more
TL;DR: In this review paper various high-speed interconnect effects are briefly discussed, recent advances in transmission line macromodeling techniques are presented, and simulation of high- speed interconnects using model-reduction-based algorithms is discussed in detail.
Journal ArticleDOI
Enforcing Passivity for Admittance Matrices Approximated by Rational Functions
Bjorn Gustavsen,Adam Semlyen +1 more
TL;DR: In this paper, a linear power system component can be included in a transient simulation as a terminal equivalent by approximating its admittance matrix Y by rational functions in the frequency domain.
Related Papers (5)
Rational approximation of frequency domain responses by vector fitting
Bjorn Gustavsen,Adam Semlyen +1 more