The global Lanczos method for MIMO interconnect order reductions

Author

Chu, Chia-Chi ; Lai, Ming-Hong ; Feng, Wu-Shiung

Author_Institution

Dept. of Electr. Eng., Chang Gung Univ., TaoYuan

fYear

2006

fDate

21-24 May 2006

Lastpage

1106

Abstract

We present the global Lanczos algorithm for solving the RLCG interconnect circuits in this paper. This algorithm is an extension of the standard Lanczos algorithm for systems with multi-input multi-output (MIMO). A new matrix Krylov subspace will be developed first. By employing the congruence transformation with the matrix Krylov subspace, the two-side oblique projection-based method can be used to construct a reduced-order system. It will be shown that the system moments is still matched. The error of the 2q-th order system moment will be derived analytically. Finally, simulation results on both frequency domain and time domain will illustrate the feasibility and the efficiency of the proposed method

Keywords

MIMO systems; RLC circuits; frequency-domain analysis; integrated circuit interconnections; reduced order systems; time-domain analysis; MIMO interconnect order reductions; RLCG interconnect circuits; congruence transformation; frequency domain analysis; global Lanczos algorithm; matrix Krylov subspace; reduced-order system; time domain analysis; Equations; Frequency domain analysis; Integrated circuit interconnections; Iterative algorithms; LAN interconnection; MIMO; RLC circuits; Reduced order systems; Transfer functions; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on

Conference_Location

Island of Kos

Print_ISBN

0-7803-9389-9

Type

conf

DOI

10.1109/ISCAS.2006.1692782

Filename

1692782