Journal ArticleDOI
Small-signal circuit analysis and sensitivity computations with the PVL algorithm
Roland W. Freund,Peter Feldmann +1 more
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In this article, the Lanczos process is used to approximate the Pade approximation of the network transfer function via a Lanczos-based algorithm. But the numerical stability of the algorithm does not guarantee any accuracy over a certain frequency range.Abstract:
We describe the application of the PVL algorithm to the small-signal analysis of circuits, including sensitivity computations. The PVL algorithm is based on the efficient computation of the Pade approximation of the network transfer function via the Lanczos process. The numerical stability of the algorithm permits the computation of the Pade approximation to any accuracy over a certain frequency range. We extend the algorithm to compute sensitivities of network transfer functions, their poles, and their zeros, with respect to arbitrary circuit parameters, with minimal additional computational cost. We demonstrate the implementation of our algorithm on circuit examples.read more
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Efficient linear circuit analysis by Pade approximation via the Lanczos process
Peter Feldmann,Roland W. Freund +1 more
TL;DR: In this article, the Lanczos process is used to compute the Pade approximation of Laplace-domain transfer functions of large linear networks via a Lanczos Process (PVL) algorithm.
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
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
TL;DR: This paper gives an overview of the recent progress in other Krylov subspace techniques for a variety of dynamical systems, including second-order and nonlinear systems, and case studies arising from circuit simulation, structural dynamics and microelectromechanical systems are presented.
Journal ArticleDOI
Model reduction methods based on Krylov subspaces
TL;DR: The main ideas of reduction-order modelling techniques based on Krylov subspaces are reviewed and some applications of reduced- order modelling in circuit simulation are described.
Journal ArticleDOI
Hierarchical Modeling, Optimization, and Synthesis for System-Level Analog and RF Designs
TL;DR: The paper describes the recent state of the art in hierarchical analog synthesis, with a strong emphasis on associated techniques for computer-aided model generation and optimization, and surveys recent advances in analog design tools that specifically deal with the hierarchical nature of practical analog and RF systems.
References
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Book
Introduction to Numerical Analysis
Josef Stoer,Roland Bulirsch +1 more
TL;DR: This well written book is enlarged by the following topics: B-splines and their computation, elimination methods for large sparse systems of linear equations, Lanczos algorithm for eigenvalue problems, implicit shift techniques for theLR and QR algorithm, implicit differential equations, differential algebraic systems, new methods for stiff differential equations and preconditioning techniques.
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An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
TL;DR: In this article, a systematic method for finding the latent roots and principal axes of a matrix, without reducing the order of the matrix, has been proposed, which is characterized by a wide field of applicability and great accuracy, since the accumulation of rounding errors is avoided, through the process of minimized iterations.
Journal ArticleDOI
Asymptotic waveform evaluation for timing analysis
L.T. Pillage,R.A. Rohrer +1 more
TL;DR: Asymptotic waveform evaluation (AWE) provides a generalized approach to linear RLC circuit response approximations and reduces to the RC tree methods.
Journal ArticleDOI
Efficient linear circuit analysis by Pade approximation via the Lanczos process
Peter Feldmann,Roland W. Freund +1 more
TL;DR: In this article, the Lanczos process is used to compute the Pade approximation of Laplace-domain transfer functions of large linear networks via a Lanczos Process (PVL) algorithm.
Journal ArticleDOI
Equivalent Circuit Models for Three-Dimensional Multiconductor Systems
TL;DR: In this paper, partial element equivalent circuits (PEECs) are derived from an integral equation to establish an electrical description of the physical geometry of the PEECs, which are general in that they include losses.