Numerical Model of Thin-Film Transistors for Circuit Simulation Using Spline Interpolation with Transformation by y=x+log(x)

Mutsumi KIMURA  Satoshi INOUE  Tatsuya SHIMODA  

Publication
IEICE TRANSACTIONS on Electronics   Vol.E86-C   No.1   pp.63-70
Publication Date: 2003/01/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Electromechanical Devices and Components
Keyword: 
model,  thin-film transistor,  circuit simulation,  spline interpolation,  transformation,  

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Summary: 
A numerical model of thin-film transistors for circuit simulation has been developed. This model utilizes three schemes. First, the spline interpolation with transformation by y=x+log(x) achieves excellent preciseness for both on-current and off-current simultaneously. Second, the square polynomial supplement solves an anomaly near the points where drain voltage equal to zero. Third, the linear extrapolation achieves continuities of the current and its derivatives as a function of voltages out of the area where the spline interpolation is performed, and improves convergence during circuit simulation.