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System identification and model order reduction for TLM analysis
Author(s) -
Lukashevich D.,
Coccetti F.,
Russer P.
Publication year - 2006
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.632
Subject(s) - krylov subspace , model order reduction , computer science , generalized minimal residual method , solver , transient (computer programming) , lanczos resampling , reduction (mathematics) , time domain , algorithm , transmission line , electronic engineering , mathematics , iterative method , eigenvalues and eigenvectors , engineering , physics , telecommunications , projection (relational algebra) , geometry , quantum mechanics , computer vision , programming language , operating system
A system identification (SI) and Prony's model based algorithm for modelling and prediction of a time‐domain transient response is introduced and applied to time‐domain transmission line matrix (TLM) transient responses in order to extrapolate parameters of microwave circuits and accelerate the simulation process. Application of moment matching model order reduction (MOR) techniques to the TLM method is presented with emphasis placed on Krylov subspace methods based on the Lanczos process and its modifications. The Krylov subspace methods are attractive for MOR in the TLM framework because the construction of orthonormal and biorthogonal bases for correspondent Krylov subspaces can be carried out through a direct application of the implicit TLM solver. MOR applied to TLM allows one to generate a compact macromodel of a TLM‐system and significantly reduce the computational time. The efficiency and advantages of the SI and MOR techniques are demonstrated through their applications to the full‐wave analysis of different electromagnetic structures. In addition, a brief comparison of SI and MOR involved for modelling of a planar patch antenna is provided. Copyright © 2006 John Wiley & Sons, Ltd.