Oblique Projection Methods for Large Scale Model Reduction
SIAM Journal on Matrix Analysis and Applications
Multipoint moment matching model for multiport distributed interconnect networks
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Analysis of Multiconductor Transmission Lines
Analysis of Multiconductor Transmission Lines
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Preservation of passivity during RLC network reduction via split congruence transformations
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
PRIMA: passive reduced-order interconnect macromodeling algorithm
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Analysis of interconnect networks using complex frequency hopping (CFH)
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Efficient linear circuit analysis by Pade approximation via the Lanczos process
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
| Hi-index | 0.00 |
This paper presents a new algorithm based on integrated congruence transform for efficient simulation of nonuniform transmission lines. The proposed algorithm introduces the concept of model-order reduction (MOR) via implicit usage of the Hilbert-space moments in distributed networks. The key idea in the proposed algorithm is the development of an orthogonalization procedure that does not require the explicit computation of the Hilbert-space moments in order to find their spanning orthogonal basis. The proposed orthogonalization procedure can thus be used to compute an orthogonal basis for any set of elements that are related through a differential operator in a generalized Hilbert space, without the need to have these elements in an explicit form. The proposed algorithm also addresses the problem of MOR of nonuniform transmission lines, through defining a weighted inner product and norm mappings over the Hilbert space of the moments. Numerical examples demonstrate more accurate numerical approximation capabilities over using the moments explicitly.