Pole-zero computation in microwave circuits using multipoint Pade approximation

Celik, M.; Ocali, O.; Tan, M.A.; Atalar, Abdullah

doi:10.1109/81.350791

Cited by 50 publications

(18 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In practice, this procedure results in an impossibly large circuit. The AWE method addresses this problem by reducing the dimension of the rational polynomial while minimizing distortion [9], [11]. This method works well for interconnects in digital systems and lower frequency microwave circuits [12], [13].…”

Section: B Awementioning

confidence: 99%

State-variable-based transient analysis using convolution

Christoffersen

Ozkar²,

Steer³

et al. 1999

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

show abstract

Section: B Awementioning

confidence: 99%

State-variable-based transient analysis using convolution

Christoffersen

Ozkar²,

Steer³

et al. 1999

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

show abstract

“…However, the direct moment computation in AWE leads to numerical instabilities that limit the bandwidth attainable. To overcome this deficiency, multipoint methods like complex frequency hopping (CFH) [2] and multi-point Pade´-approximation [3] were developed. One disadvantage of multi-point methods is the need for a separate matrix factorization at every expansion point.…”

Section: Introductionmentioning

confidence: 99%

Multi-parameter polynomial order reduction of linear finite element models

Farle

Hill

Ingelström

et al. 2008

Mathematical and Computer Modelling of Dynamical Systems

View full text Add to dashboard Cite

In this paper we present a numerically stable method for the model order reduction of finite element (FE) approximations to passive microwave structures parameterized by polynomials in several variables. The proposed method is a projection-based approach using Krylov subspaces and extends the works of Gunupudi et al. (P. Gunupudi, R. Khazaka and M. Nakhla, Analysis of transmission line circuits using multidimensional model reduction techniques, IEEE Trans. Adv. Packaging 25 (2002), pp. 174-180) and Slone et al. (R.D. Slone, R. Lee and J.-F. Lee, Broadband model order reduction of polynomial matrix equations using single-point well-conditioned asymptotic waveform evaluation: derivations and theory, Int. J. Numer. Meth. Eng. 58 (2003), pp. 2325-2342). First, we present the multivariate Krylov space of higher order associated with a parameter-dependent righthand-side vector and derive a general recursion for generating its basis. Next, we propose an advanced algorithm to compute such a basis in a numerically stable way. Finally, we apply the Krylov basis to construct a reduced order model of the moment-matching type. The resulting single-point method requires one matrix factorization only. Numerical examples demonstrate the efficiency and reliability of our approach.

show abstract

“…The algorithm can ÿnd out the exact poles by properly hopping the origin of Taylor expansion on the complex axis. The other is based on a multipoint PadÂ e approximation [24]. Both of them need properly to choose some points in the complex frequency domain to obtain the exact Taylor series.…”

Section: Introductionmentioning

confidence: 99%

A reduction technique of large‐scale RCG interconnects in the complex frequency domain

Yamagami

Tanji

Hattori

et al. 2004

Circuit Theory & Apps

View full text Add to dashboard Cite

SUMMARYHigh-speed digital LSI chips usually consist of many sub-circuits coupled with multi-conductor interconnects embedded in the substrate. They sometimes cause serious problems of the fault switching operations due to the time-delays, crosstalks, re ections, etc. In order to solve these problems, it is very important to develop a user-friendly simulator for the analysis of LSIs coupled with interconnects. In this paper, we consider a large-scale gate-array circuit coupled with multi-conductor RCG interconnects. At ÿrst, we propose a new method for calculating the dominant poles of the impedance matrix, which give the large e ects to the transient response. The corresponding residues are estimated by the least squares method. Using these poles and residues, the input-output relation of each interconnect can be described by the partial fractions. After then, the interconnect is replaced by the equivalent circuit realizing the partial fractions. In this way, we can easily develop a user-friendly simulator familiar with SPICE. We found from many examples that the good results can be obtained using only few dominant poles around the origin. Furthermore, the reduction ratio of our method is very large especially for large scale interconnects.

show abstract

Pole-zero computation in microwave circuits using multipoint Pade approximation

Cited by 50 publications

References 11 publications

State-variable-based transient analysis using convolution

State-variable-based transient analysis using convolution

Multi-parameter polynomial order reduction of linear finite element models

A reduction technique of large‐scale RCG interconnects in the complex frequency domain

Contact Info

Product

Resources

About