Nick Soveiko

Compact Macromodeling of High-Speed Circuits via Delayed Rational Functions

This letter introduces a new method for compact macromodeling of high-speed circuits with long delays, characterized by tabulated time-domain data. The algorithm is based on partitioning the response and subsequently approximating each partition with a low-order sum-of-exponentials, delayed in time-domain. This results in a compact low-order macromodel in the form of delayed-differential equations, which can be efficiently analyzed using SPICE like simulators.

Time Domain Delay Extraction-Based Macromodeling Algorithm for Long-Delay Networks

This paper introduces a new time-domain approach for compact macromodeling of multiport high-speed circuits with long delays, characterized by tabulated data. The algorithm is based on partitioning the data in the time-domain and subsequently, approximating each partition via delayed rational functions. This results in a compact low-order macromodel in the form of delayed differential equations, which can be efficiently analyzed in the time-domain using circuit simulators.

Efficient capacitance extraction computations in wavelet domain

A new approach is presented for efficient capacitance extraction. This technique utilizes wavelet bases and is kernel independent. The main benefits of the proposed technique are as follows: (1) it takes a full advantage of the multiresolution analysis and gives accurate total charge on a conductor without obtaining an accurate solution for the charge density per se; (2) the method employs an extremely aggressive thresholding algorithm and compresses the stiffness matrix to an almost diagonal sparse matrix; and (3) construction of the stiffness matrix is performed iteratively, which facilitates easy and simple control of convergence and provides means of trading accuracy for speed. The proposed method has computational cost of O(N), versus O(N/sup 3/) for conventional methods. The proposed algorithm has a major impact on the speed and accuracy of physical interconnect parameter extraction with speedup reaching 10/sup 3/ for even moderately sized problems.

Steady-state analysis of multitone nonlinear circuits in wavelet domain

This paper introduces a new approach to steady-state analysis of nonlinear microwave circuits under periodic excitation. The new method is similar to the well-known technique of harmonic balance, but uses wavelets as basis functions instead of Fourier series. Use of wavelets allows significant increase in sparsity of the equation matrices and, consequently, decrease in CPU cost and storage requirements, while retaining accuracy and convergence of the traditional approach. The new method scales linearly with the size of the problem and is well suited for simulations of highly nonlinear, multitone, and broad-band circuits.

Wavelet harmonic balance

This letter introduces a new approach to steady state analysis of nonlinear microwave circuits under periodic excitation. The new method is similar to the well known technique of Harmonic Balance, but uses wavelets as basis functions instead of Fourier series. Use of wavelets allows significant increase in sparsity of the equation matrices and consequently decrease in CPU cost and storage requirements, while retaining accuracy and convergence of the traditional approach. The new method scales linearly with the size of the problem and is well suited for large scale simulations.

A Wavelet-Based Approach for Steady-State Analysis of Nonlinear Circuits With Widely Separated Time Scales

We propose a new wavelet method for steady-state analysis of nonlinear circuits. The new method inherits the robustness of wavelet-based technique in handling very strong nonlinear circuits while offering significant reduction of simulation costs for circuits with widely separated time scales

Steady state analysis of multitone nonlinear periodic circuits in wavelet domain

A new method for steady state analysis of nonlinear periodic circuits is proposed. The new method is similar to the well known technique of harmonic balance, but uses wavelets as basis functions instead of the Fourier series. Because of the increased sparsity of the Jacobian matrix, the new method scales linearly with the size of the problem and is well suited for large scale simulations.

Comparison Study of Performance of Parallel Steady State Solver on Different Computer Architectures

A parallel solver for steady state analysis of nonlinear circuits is presented. The solver uses the Message Passing Interface specification for communications and is suitable for steady state simulation of very large nonlinear circuits. Performance of the solver is investigated on symmetric multiprocessing, non-uniform memory access, and distributed memory computer systems. Impact of memory subsystem constraints on the solver efficiency is evaluated.

Scalable parallel matrix solver for steady state analysis of large nonlinear circuits

A parallel iterative matrix solver is proposed. The solver takes advantage of the structure of matrices arising from nonlinear steady state analysis problems to partition the workload. Experimental results show that the efficiency of the proposed method increases with the size of the circuit.

On the steady-state analysis of nonlinear circuits with frequency dependent parameters in wavelet domain

This letter introduces a new method for steady state analysis of nonlinear circuits with frequency dependent parameter components. The method enables treatment of distributed parameter components in a wavelet domain steady state circuit simulator. The method features thresholding of the convolution matrix in wavelet domain in order to reduce computational cost and is suitable for highly nonlinear circuits with distributed parameters under multitone excitations.