Title :
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
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;
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
DOI :
10.1109/ISCAS.2006.1692782
