DocumentCode :
2456791
Title :
Formulation of low-order dominant poles for Y-matrix of interconnects
Author :
Xu, Qinwei ; Mazumder, Pinaki
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
fYear :
2002
fDate :
2002
Firstpage :
820
Lastpage :
825
Abstract :
This paper presents an efficient approach to compute the dominant poles for the reduced-order admittance (Y parameter) matrix of lossy interconnects. Using the global approximation technique, the efficient frameworks are constructed to transform the frequency-domain Telegrapher´s equations into compact linear algebraic equations. The dominant poles and residues can be extracted by directly solving the linear equations. The closed-form formulas are derived to compute the low-order dominant poles. Due to high accuracy of the global approximation, the extracted poles can accurately represent the exact admittance matrices in a wide frequency range. By using the recursive convolution technique, the pole-residue models can be represented by companion models, which have linear complexity with respect to the computational time. The presented modeling approaches are shown to preserve passivity. Numerical experiments of transient simulation show that the presented modeling approaches lead to higher efficiency, while maintaining; comparable accuracy
Keywords :
VLSI; approximation theory; convolution; electric admittance; integrated circuit interconnections; integrated circuit modelling; linear network analysis; matrix algebra; poles and zeros; transmission line theory; Y parameter matrix; Y-matrix; closed-form formulas; compact linear algebraic equations; companion models; exact admittance matrices; frequency-domain Telegrapher equations; global approximation technique; linear complexity; lossy interconnects; low-order dominant poles; pole-residue models; recursive convolution technique; reduced-order admittance matrix; wide frequency range; Admittance; Equations; Frequency; Integrated circuit interconnections; Integrated circuit modeling; Power system interconnection; Reduced order systems; Signal design; Transfer functions; Transmission line matrix methods;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Design, Automation and Test in Europe Conference and Exhibition, 2002. Proceedings
Conference_Location :
Paris
ISSN :
1530-1591
Print_ISBN :
0-7695-1471-5
Type :
conf
DOI :
10.1109/DATE.2002.998393
Filename :
998393
Link To Document :
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