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Local Approximation Improvement of Trajectory Piecewise Linear Macromodels through Chebyshev Interpolating Polynomials

Farooq, Muhammad Umer and Xia, Likun and Hussin, Fawnizu Azmadi and Malik, Aamir Saeed (2013) Local Approximation Improvement of Trajectory Piecewise Linear Macromodels through Chebyshev Interpolating Polynomials. In: 18th Asia and South Pacific Design Automation Conference (ASP-DAC), Jan. 22-25, 2013, Yokohama, Japan.

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Official URL: http://www.aspdac.com/aspdac2013/

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.

Item Type:Conference or Workshop Item (Poster)
Subjects:Q Science > QA Mathematics
Academic Subject One:Academic Department - Electrical And Electronics - Pervasisve Systems - Digital Electronics - Test and Reliablity
Departments / MOR / COE:Centre of Excellence > Center for Intelligent Signal and Imaging Research
Departments > Electrical & Electronic Engineering
Mission Oriented Research > Health
ID Code:10916
Deposited By: Dr. L Xia
Deposited On:16 Dec 2013 23:48
Last Modified:16 Dec 2013 23:48

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