eprintid: 3609
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/36/09
datestamp: 2023-11-09 15:51:52
lastmod: 2023-11-09 15:51:52
status_changed: 2023-11-09 15:47:13
type: conference_item
metadata_visibility: show
creators_name: Farooq, M.U.
creators_name: Xia, L.
title: Local approximation improvement of trajectory piecewise linear macromodels through Chebyshev interpolating polynomials
ispublished: pub
keywords: Chebyshev polynomials; Complex nonlinear system; Interpolating polynomials; Model order reduction; Nonlinear transmission lines; State space; Taylor polynomials; Vertical scalabilities, Computer aided design; Interpolation; MEMS; Multiprocessing systems; Nonlinear systems; Piecewise linear techniques; Scalability; Trajectories, Polynomials
note: cited By 4; Conference of 2013 18th Asia and South Pacific Design Automation Conference, ASP-DAC 2013 ; Conference Date: 22 January 2013 Through 25 January 2013; Conference Code:96931
abstract: We introduce the concept of two dimensional (2D) scalability of trajectory piecewise linear (TPWL) through the exploitation of Chebyshev interpolating polynomials in each piecewise region. The goal of 2D scalability is to improve the local approximation properties of TPWL macromodels. Horizontal scalability is achieved through the reduction of number of linearization points along the trajectory; vertical scalability is obtained by extending the scope of macromodel to predict the response of a nonlinear system for inputs far from training trajectory. In this way more efficient macromodels are obtained in terms of simulation speed up of complex nonlinear systems. The methodology developed is to predict the nonlinear responses generated by faults introduced in Micro Electro-Mechanical Systems (MEMS) accelerometer during fabrication, that are used to obtain the seismic images for oil and gas discovery. We provide the implementation details and illustrate the 2D scalability concept with an example using nonlinear transmission line. © 2013 IEEE.
date: 2013
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84877781322&doi=10.1109%2fASPDAC.2013.6509693&partnerID=40&md5=4f62a21be69d5db650c23f4c46d11773
id_number: 10.1109/ASPDAC.2013.6509693
full_text_status: none
publication: Proceedings of the Asia and South Pacific Design Automation Conference, ASP-DAC
place_of_pub: Yokohama
pagerange: 767-772
refereed: TRUE
isbn: 9781467330299
citation:   Farooq, M.U. and Xia, L.  (2013) Local approximation improvement of trajectory piecewise linear macromodels through Chebyshev interpolating polynomials.  In: UNSPECIFIED.