Stochastic Modeling-Based Variability Analysis of On-Chip Interconnects

Ginste, Dries Vande; Zutter, D. De; Deschrijver, Dirk; Dhaene, Tom; Manfredi, Paolo; Canavero, Flavio

doi:10.1109/tcpmt.2012.2192274

Cited by 90 publications

(84 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where MSE avg is given by (9). The MMSE preequalization filters are obtained as a function of α and λ by minimizing (21) with respect to the preequalization matrix P using (20):…”

Section: B Fixed Equalization Schemementioning

confidence: 99%

See 1 more Smart Citation

MIMO Equalization for Multi-Gbit/s Access Nodes Affected by Manufacturing Tolerances

Jacobs

Bailleul

Manfredi

et al. 2017

GLOBECOM 2017 - 2017 IEEE Global Communications Conference

View full text Add to dashboard Cite

Abstract-While the requirements for delivering high throughputs increase exponentially with every generation of access node hardware, the device cost is of primary concern. As a result, multiple-input multipleoutput (MIMO) equalization, which has been shown to facilitate multi-Gbit/s communication over low-cost parallel electrical interconnects, is emerging as an attractive high-speed interconnect solution for next-generation access nodes. Because of the high operating frequencies, however, the transfer functions of the on-and off-chip interconnects become highly susceptible to manufacturing tolerances (MTs); hence, the equalization filters must be adjusted to the specific channel realization to achieve optimal performance, which involves a high implementation and computational complexity. Considering that the MTs are usually limited, we propose a robust lowcomplexity transceiver consisting of a fixed MIMO linear pre-equalizer (which avoids the need for feeding back the channel state information to the transmitter), with either a fixed or adjustable MIMO decision-feedback equalizer (DFE). For a specific chip-to-chip interconnect operating at 75 Gbit/s per line and a 26 dB signal-to-noise ratio, we show that the resulting bit error rate does not exceed 10 −12 for MTs up to 10.5% (fixed DFE) and 17.7% (adjustable DFE) of the nominal line width.

show abstract

“…where MSE avg is given by (9). The MMSE preequalization filters are obtained as a function of α and λ by minimizing (21) with respect to the preequalization matrix P using (20):…”

Section: B Fixed Equalization Schemementioning

confidence: 99%

“…Obviously, the lower the standard deviation of the manufacturing uncertainty, the higher the production cost of the interconnects. We have generated 1000 realizations of H ch (f ) with |f | < 100 GHz, using the polynomial chaos-based approach outlined in [8], [9].…”

Section: Hybrid Equalization Schemementioning

confidence: 99%

MIMO Equalization for Multi-Gbit/s Access Nodes Affected by Manufacturing Tolerances

Jacobs

Bailleul

Manfredi

et al. 2017

GLOBECOM 2017 - 2017 IEEE Global Communications Conference

View full text Add to dashboard Cite

show abstract

“…Many techniques described in the literature use an intrusive PC-based approach to perform the VA [1] - [3], [5]. Hence, the PC expansion is applied to a deterministic model (i.e per-unitlength parameters, state-space representation) that describes the system under study, leading to an augmented PC-based model that can be computed using the Galerkin projections [1] - [3], [5].…”

Section: Macromodeling Strategymentioning

confidence: 99%

“…In this scenario, different techniques have proposed PCbased methodologies for the VA of specific systems: multiconductor transmission lines [1] - [3] or lumped elements circuits [4]. Recently, the technique [5] has proposed the application of the PC expansion to the VA of generic linear multiport systems.…”

Section: Introductionmentioning

confidence: 99%

Non intrusive Polynomial Chaos-based stochastic macromodeling of multiport systems

Spina

Ferranti

Antonini

et al. 2014

2014 IEEE 18th Workshop on Signal and Power Integrity (SPI)

View full text Add to dashboard Cite

We present a novel technique to efficiently perform the variability analysis of electromagnetic systems. The proposed method calculates a Polynomial Chaos-based macromodel of the system transfer function that includes its statistical properties. The combination of a non-intrusive Polynomial Chaos approach with the Vector Fitting algorithm allows to describe the system variability features with accuracy and efficiency. The results of the variability analysis performed with the proposed method are verified by means of comparison with respect to the standard Monte Carlo analysis.

show abstract

“…In PC-based approaches, a stochastic process is represented as a series of orthogonal polynomials with suitable coefficients. The PC methodology has been extensively applied to the variability analysis of linear systems, such as lumped elements circuits [9], [10], multiconductor transmission lines [11]- [13] and generic linear multiport systems [14]. Also, the PC methodology has been proposed for the variability analysis of nonlinear electronic circuits [15]- [18].…”

Section: Introductionmentioning

confidence: 99%

Stochastic macromodeling for hierarchical uncertainty quantification of nonlinear electronic systems

Spina

Jonghe

Ferranti

et al. 2015

2015 IEEE International Symposium on Electromagnetic Compatibility (EMC)

View full text Add to dashboard Cite

Abstract-A hierarchical stochastic macromodeling approach is proposed for the efficient variability analysis of complex nonlinear electronic systems. A combination of the Transfer Function Trajectory and Polynomial Chaos methods is used to generate stochastic macromodels. In order to reduce the computational complexity of the model generation when the number of stochastic variables increases, a hierarchical system decomposition is used. Pertinent numerical results validate the proposed methodology.

show abstract

Stochastic Modeling-Based Variability Analysis of On-Chip Interconnects

Abstract: Abstract-In this paper, a novel stochastic modeling strategy is constructed that allows assessment of the parameter variability effects induced by the manufacturing process of on-chip interconnects. The strategy adopts a three-step approach.

Cited by 90 publications

References 27 publications

MIMO Equalization for Multi-Gbit/s Access Nodes Affected by Manufacturing Tolerances

MIMO Equalization for Multi-Gbit/s Access Nodes Affected by Manufacturing Tolerances

Non intrusive Polynomial Chaos-based stochastic macromodeling of multiport systems

Stochastic macromodeling for hierarchical uncertainty quantification of nonlinear electronic systems

Contact Info

Product

Resources

About