Local Approximation Improvement of Trajectory Piecewise Linear Macromodels through Chebyshev Interpolating Polynomials
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 sc...
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my.utp.eprints.109162013-12-16T23:48:16Z Local Approximation Improvement of Trajectory Piecewise Linear Macromodels through Chebyshev Interpolating Polynomials Farooq, Muhammad Umer Xia, Likun Hussin, Fawnizu Azmadi Malik, Aamir Saeed QA Mathematics 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. 2013-01 Conference or Workshop Item PeerReviewed application/pdf http://eprints.utp.edu.my/10916/1/ASP-DAC%202013.pdf http://www.aspdac.com/aspdac2013/ 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. http://eprints.utp.edu.my/10916/ |
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QA Mathematics Farooq, Muhammad Umer Xia, Likun Hussin, Fawnizu Azmadi Malik, Aamir Saeed Local Approximation Improvement of Trajectory Piecewise Linear Macromodels through Chebyshev Interpolating Polynomials |
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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. |
format |
Conference or Workshop Item |
author |
Farooq, Muhammad Umer Xia, Likun Hussin, Fawnizu Azmadi Malik, Aamir Saeed |
author_facet |
Farooq, Muhammad Umer Xia, Likun Hussin, Fawnizu Azmadi Malik, Aamir Saeed |
author_sort |
Farooq, Muhammad Umer |
title |
Local Approximation Improvement of Trajectory
Piecewise Linear Macromodels through Chebyshev
Interpolating Polynomials |
title_short |
Local Approximation Improvement of Trajectory
Piecewise Linear Macromodels through Chebyshev
Interpolating Polynomials |
title_full |
Local Approximation Improvement of Trajectory
Piecewise Linear Macromodels through Chebyshev
Interpolating Polynomials |
title_fullStr |
Local Approximation Improvement of Trajectory
Piecewise Linear Macromodels through Chebyshev
Interpolating Polynomials |
title_full_unstemmed |
Local Approximation Improvement of Trajectory
Piecewise Linear Macromodels through Chebyshev
Interpolating Polynomials |
title_sort |
local approximation improvement of trajectory
piecewise linear macromodels through chebyshev
interpolating polynomials |
publishDate |
2013 |
url |
http://eprints.utp.edu.my/10916/1/ASP-DAC%202013.pdf http://www.aspdac.com/aspdac2013/ http://eprints.utp.edu.my/10916/ |
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1738655911104217088 |
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13.160551 |