Automated Model Generation of Analog Circuits Through Modified Trajectory Piecewise Linear Approach With ChebyShev Newton Interpolating Polynomials

• Main Authors: Farooq, Muhammad Umer, Xia, Likun, Malik, Aamir Saeed, Hussin, Fawnizu Azmadi
• Format: Conference or Workshop Item
• Published: 2013
• Subjects: QA Mathematics
• 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/
• Institution: Universiti Teknologi Petronas

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.