Title :
Second-order approximations for RLC trees
Author :
Lin, Ching-An ; Wu, Chien-Hsien
Author_Institution :
Dept. of Electr. & Control Eng., Nat. Chiao-Tung Univ., Hsinchu, Taiwan
fDate :
7/1/2004 12:00:00 AM
Abstract :
We propose two-pole one-zero second-order approximations for transfer functions in resistance-inductance-capacitance trees. The approximation matches the first three moments of the original transfer function. Formulas for computing step-response parameters such as delay time, rise time, overshoot, etc., are given. Simulation results show that adding the zero improves accuracy of the approximation.
Keywords :
RLC circuits; approximation theory; reduced order systems; transfer functions; trees (mathematics); RLC trees; delay time; model reduction; reduced-order systems; resistance-inductance-capacitance trees; rise time; second-order approximations; signal overshoot; step-response parameters; transfer functions; Capacitors; Computational modeling; Delay effects; Equations; Integrated circuit interconnections; Parameter estimation; Transfer functions; Tree graphs; Very large scale integration; Voltage; Model reduction; RLC; reduced-order systems; resistance–inductance–capacitance; trees;
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCAD.2004.829794
