Analysis of interconnect networks using complex frequency hopping (CFH)

Chiprout, Eli; Nakhla, M.

doi:10.1109/43.370425

Cited by 287 publications

(154 citation statements)

References 25 publications

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“…Early implementations of these Padé-based methods were sometimes unreliable when applied to interconnect problems, and occasionally generated inaccurate and/or unstable representations of the interconnect. Since a q th order Padé approximate matches 2q − 1 terms in the zero-frequency centered Taylor series expansion of the original frequency response, accuracy problems were mitigated by generalizing the approximate to match Taylor expansions at multiple center frequencies [7].…”

Section: Model Order Reduction For Interconnectmentioning

confidence: 99%

Highlights in Physical Simulation and Analysis at ICCAD

Kundert

White

2003

The Best of ICCAD

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Six papers were chosen to represent twenty years of research in physical simulation and analysis, three papers addressing the problem of extracting and simulating interconnect effects and three papers describing techniques for simulating steady-state and noise behavior in RF circuits. In this commentary paper we will try to describe the contribution of each paper and place that contribution in some historical context.

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Section: Model Order Reduction For Interconnectmentioning

confidence: 99%

Highlights in Physical Simulation and Analysis at ICCAD

Kundert

White

2003

The Best of ICCAD

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“…The explicit MMT using a single Padé expansion [6]- [8] is known as asymptotic waveform evaluation (AWE). However, AWE and the underlying Padé approximation induces numerical ill-conditioning, while the approximant may produce unstable poles.…”

Section: Introductionmentioning

confidence: 99%

Model Order Reduction of Time-Delay Systems Using a Laguerre Expansion Technique

Samuel

Knockaert

Dhaene

2014

IEEE Trans. Circuits Syst. I

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Abstract-The demands for miniature sized circuits with higher operating speeds have increased the complexity of the circuit, while at high frequencies it is known that effects such as crosstalk, attenuation and delay can have adverse effects on signal integrity. To capture these high speed effects a very large number of system equations is normally required and hence model order reduction techniques are required to make the simulation of the circuits computationally feasible. This paper proposes a higher order Krylov subspace algorithm for model order reduction of time-delay systems based on a Laguerre expansion technique. The proposed technique consists of three sections i.e., first the delays are approximated using the recursive relation of Laguerre polynomials, then in the second part, the reduced order is estimated for the time-delay system using a delay truncation in the Laguerre domain and in the third part, a higher order Krylov technique using Laguerre expansion is computed for obtaining the reduced order time-delay system. The proposed technique is validated by means of real world numerical examples.

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“…More recently, the complex frequency hopping method which has been used efficient in the simulation of large circuits including both lumped elements and transmission lines [12][13][14] was used in conjunction with the finite element modeling of electromagnetic problems [15,16]. This paper discusses the extension of a model reduction method [15,16] based on the tangential vector finite element and complex frequency hopping methods to compute the resonant frequencies of cavity resonators and the characteristic impedance of stripline shielded in a rectangular cavity.…”

Section: Introductionmentioning

confidence: 99%

Model-Reduction Method for Electromagnetic Problems

Kolbehdari¹

1998

PIER

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Analysis of interconnect networks using complex frequency hopping (CFH)

Cited by 287 publications

References 25 publications

Highlights in Physical Simulation and Analysis at ICCAD

Highlights in Physical Simulation and Analysis at ICCAD

Model Order Reduction of Time-Delay Systems Using a Laguerre Expansion Technique

Model-Reduction Method for Electromagnetic Problems

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