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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Main Authors: Farooq, Muhammad Umer, Xia, Likun, Malik, Aamir Saeed, Hussin, Fawnizu Azmadi
Format: Conference or Workshop Item
Published: 2013
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Online Access: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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spelling 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/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
topic QA Mathematics
spellingShingle 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
description 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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score 13.18916