TY - JOUR
T1 - System identification and model order reduction for TLM analysis
AU - Lukashevich, D.
AU - Coccetti, F.
AU - Russer, P.
PY - 2007/1
Y1 - 2007/1
N2 - 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.
AB - 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.
KW - Model order reduction
KW - System identification
KW - Transmission line matrix method
UR - http://www.scopus.com/inward/record.url?scp=33947576360&partnerID=8YFLogxK
U2 - 10.1002/jnm.632
DO - 10.1002/jnm.632
M3 - Article
AN - SCOPUS:33947576360
SN - 0894-3370
VL - 20
SP - 75
EP - 92
JO - International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
JF - International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
IS - 1-2
ER -