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PRIMA: Passive Reduced-order Interconnect Macromodeling Algorithm
, 1997
"... This paper describes PRIMA, an algorithm for generating provably passive reduced order N-port models for RLC interconnect circuits. It is demonstrated that, in addition to requiring macromodel stability, macromodel passivity is needed to guarantee the overall circuit stability once the active and pa ..."
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Cited by 429 (10 self)
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This paper describes PRIMA, an algorithm for generating provably passive reduced order N-port models for RLC interconnect circuits. It is demonstrated that, in addition to requiring macromodel stability, macromodel passivity is needed to guarantee the overall circuit stability once the active
Compact and Passive Parametric Macromodeling . . .
- IEEE TRANSACTIONS ON COMPONENTS, PACKAGING AND MANUFACTURING TECHNOLOGY
"... We present an enhanced parametric macromodeling method that is able to generate compact and passive models over the entire design space of interest. It starts from a discrete set of data samples of the input-output system behavior (e.g. admittance, impedance, and scattering parameters), which depen ..."
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depend on multiple design variables such as layout and substrate parameters. The proposed approach generates accurate parametric macromodels whose size is not affected by the number of design parameters in addition to frequency. Stability and passivity are preserved over the design space of interest
On Driving Non-passive Macromodels to Instability
- International Journal of Circuit Theory and Applications
, 2009
"... This paper illustrates a procedure for demonstrating and quantifying the importance of passivity in linear macromodels. This issue is criticalwhenever themacromodelsarederived fromtabulatedport responses, either in time or frequency domain. We show an algorithmic procedure for the design of a passiv ..."
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Cited by 4 (2 self)
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passive termination network that will drive a given non-passive macromodel to instability. Several termination structures characterized by various port couplings are investigated. Relaxed passivity conditions are also given, which guarantee the stability of the macromodel under specific reduced
Stability and passivity enforcement of parametric macromodels in time and frequency domain
- IEEE Trans. Microw. Theory Tech
, 2008
"... Abstract—This paper presents a robust technique for the macro-modeling of time-domain and frequency-domain responses, which are parameterized by one or more design variables. The represen-tation of the multivariate macromodel ensures that stability of the transfer function poles is enforced by const ..."
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Cited by 16 (13 self)
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Abstract—This paper presents a robust technique for the macro-modeling of time-domain and frequency-domain responses, which are parameterized by one or more design variables. The represen-tation of the multivariate macromodel ensures that stability of the transfer function poles is enforced
S-parameter based macromodeling with guaranteed passivity
- IEEE Microw. Wireless Compon. Lett
, 2009
"... Abstract—This letter presents a novel parametric macromodeling technique for scattering input-output representations parameterized by design variables such as geometrical layout or substrate features. It provides accurate multivariate macromodels that are stable and passive by construction over the ..."
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Cited by 13 (11 self)
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the entire design space. Overall stability and passivity of the parametric macromodel are guaranteed by an efficient and reliable combination of rational identification and interpolation schemes based on a class of positive interpolation operators. Index Terms—Interpolation, parametric macromodeling
Parametric macromodeling for tabulated data based on internal passivity
- IEEE Microw. Wireless Compon. Lett
, 2010
"... Abstract—We present a new parametric macromodeling tech-nique for admittance and impedance input-output representations parameterized by design variables such as geometric and mate-rial parameters. Stability and passivity of the parametric macro-model are guaranteed over a user defined range of desi ..."
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Cited by 2 (1 self)
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Abstract—We present a new parametric macromodeling tech-nique for admittance and impedance input-output representations parameterized by design variables such as geometric and mate-rial parameters. Stability and passivity of the parametric macro-model are guaranteed over a user defined range
Fast Calculation of PEEC Macromodels using Frequency Derivatives∗
"... The accurate computation of partial elements plays a key role in ensuring the accuracy and the stability of the Partial Element Equivalent Circuit (PEEC) method. Inaccuracies in partial ele-ments computation, even at very high frequencies, may gener-ate late time instabilities. On the other side, ac ..."
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The accurate computation of partial elements plays a key role in ensuring the accuracy and the stability of the Partial Element Equivalent Circuit (PEEC) method. Inaccuracies in partial ele-ments computation, even at very high frequencies, may gener-ate late time instabilities. On the other side
Macromodeling of Electrical Interconnects and Packages via PEEC Approach
, 2002
"... This paper deals with model order reduction of multi-input-multi-output structures described by Partial Element Equivalent Circuits (PEEC). A Krylov-based algorithm is adopted, that guarantees the stability and the passivity of the obtained reduced circuit with good accuracy. Our procedure is valida ..."
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Cited by 1 (1 self)
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This paper deals with model order reduction of multi-input-multi-output structures described by Partial Element Equivalent Circuits (PEEC). A Krylov-based algorithm is adopted, that guarantees the stability and the passivity of the obtained reduced circuit with good accuracy. Our procedure
Are Keynesian Uncertainty and Macrotheory Compatible? Conventional Decision Making, Institutional Structures, and Conditional Stability in Keynesian Macromodels
- University of Michigan
, 1994
"... The theory of capital investment is the cornerstone of the theory of macroeconomic dynamics, and the question of whether or not the agents involved in the investment decision have the information needed to make individually and collectively optimal choices is central to capital accumulation theory. ..."
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Cited by 25 (10 self)
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decision making under uncertainty exhibits what I call “conditional stability, ” a situation in which behavioral equations will be relatively stable under conditions that hold most of the time. Section 3 then briefly discusses the centrality of institutions to the creation of conditional macroeconomic
Passivity-Preserving Interpolation-Based Parameterized Macromodeling of Scattered S-Data
"... Abstract—A new technique to build parametric macromodels based on scattered S-data samples in the design space is presented. Stability and passivity are guaranteed by construction over the entire design space by a robust and efficient two-step algorithm. In the first step, a set of univariate stable ..."
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Cited by 5 (5 self)
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Abstract—A new technique to build parametric macromodels based on scattered S-data samples in the design space is presented. Stability and passivity are guaranteed by construction over the entire design space by a robust and efficient two-step algorithm. In the first step, a set of univariate
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