New matrix algorithm for calculating diagonally matched impedance of packaging interconnecting lines

A novel numerical algorithm is developed for computation of diagonally matched impedance matrix of multiple coupled interconnecting lines in high-speed digital circuits. The algorithm is based on the properties of capacitance and inductance matrices of transmission lines and has unconditional monoto...

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Bibliographic Details
Published in:IEEE transactions on microwave theory and techniques 1999-06, Vol.47 (6), p.798-801
Main Authors: You, Y., Palusinski, O.A., Szidarovszky, F.
Format: Article
Language:English
Subjects:
Algorithms
Capacitance
Convergence
Coupling circuits
Digital circuits
Distributed parameter circuits
Impedance
Inductance
Integrated circuit interconnections
Mathematical analysis
Mathematical models
Matrices
Matrix methods
Numerical analysis
Transmission line matrix methods
Transmission line theory
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Summary:A novel numerical algorithm is developed for computation of diagonally matched impedance matrix of multiple coupled interconnecting lines in high-speed digital circuits. The algorithm is based on the properties of capacitance and inductance matrices of transmission lines and has unconditional monotonic convergence. The mathematical development is based on the theory of M matrices. The algorithm was applied to various metal lines with different dimensions, showing very good accuracy in comparison to other methods.
ISSN:0018-9480
1557-9670
DOI:10.1109/22.769353