Automated Model Generation of Analog Circuits Through Modified Trajectory Piecewise Linear Approach With ChebyShev Newton Interpolating Polynomials
In this paper we propose an efficient scalability approach for the trajectory piecewise linear (TPWL) macromodels through the utilization of Chebyshev interpolating polynomials in each piecewise region. The scalability achieved is in two dimensions (2D) that mainly improve the local approximati...
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my.utp.eprints.109152013-12-16T23:48:16Z Automated Model Generation of Analog Circuits Through Modified Trajectory Piecewise Linear Approach With ChebyShev Newton Interpolating Polynomials Farooq, Muhammad Umer Xia, Likun Malik, Aamir Saeed Hussin, Fawnizu Azmadi QA Mathematics In this paper we propose an efficient scalability approach for the trajectory piecewise linear (TPWL) macromodels through the utilization of Chebyshev interpolating polynomials in each piecewise region. The scalability achieved is in two dimensions (2D) that mainly improve the local approximation properties of TPWL macromodels. Horizontal scalability is achieved by decreasing the number of linearization points along the trajectory;vertical scalability is obtained by extending the range 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. 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/10915/1/ISMS2013.pdf http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=6497700 Farooq, Muhammad Umer and Xia, Likun and Malik, Aamir Saeed and Hussin, Fawnizu Azmadi (2013) Automated Model Generation of Analog Circuits Through Modified Trajectory Piecewise Linear Approach With ChebyShev Newton Interpolating Polynomials. In: 4th International Conference on Intelligent Systems, Modelling and Simulation (ISMS), Jan. 29-31, 2013, Bangkok, Thailand. http://eprints.utp.edu.my/10915/ |
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QA Mathematics Farooq, Muhammad Umer Xia, Likun Malik, Aamir Saeed Hussin, Fawnizu Azmadi Automated Model Generation of Analog Circuits Through Modified Trajectory Piecewise Linear Approach With ChebyShev Newton Interpolating Polynomials |
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In this paper we propose an efficient scalability
approach for the trajectory piecewise linear (TPWL)
macromodels through the utilization of Chebyshev
interpolating polynomials in each piecewise region. The
scalability achieved is in two dimensions (2D) that mainly
improve the local approximation properties of TPWL
macromodels. Horizontal scalability is achieved by decreasing the number of linearization points along the trajectory;vertical scalability is obtained by extending the range 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. 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 Malik, Aamir Saeed Hussin, Fawnizu Azmadi |
author_facet |
Farooq, Muhammad Umer Xia, Likun Malik, Aamir Saeed Hussin, Fawnizu Azmadi |
author_sort |
Farooq, Muhammad Umer |
title |
Automated Model Generation of Analog Circuits Through Modified Trajectory Piecewise Linear Approach With ChebyShev Newton Interpolating Polynomials |
title_short |
Automated Model Generation of Analog Circuits Through Modified Trajectory Piecewise Linear Approach With ChebyShev Newton Interpolating Polynomials |
title_full |
Automated Model Generation of Analog Circuits Through Modified Trajectory Piecewise Linear Approach With ChebyShev Newton Interpolating Polynomials |
title_fullStr |
Automated Model Generation of Analog Circuits Through Modified Trajectory Piecewise Linear Approach With ChebyShev Newton Interpolating Polynomials |
title_full_unstemmed |
Automated Model Generation of Analog Circuits Through Modified Trajectory Piecewise Linear Approach With ChebyShev Newton Interpolating Polynomials |
title_sort |
automated model generation of analog circuits through modified trajectory piecewise linear approach with chebyshev newton interpolating polynomials |
publishDate |
2013 |
url |
http://eprints.utp.edu.my/10915/1/ISMS2013.pdf http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=6497700 http://eprints.utp.edu.my/10915/ |
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1738655910959513600 |
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13.18916 |