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2005, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
1997
This paper introduces a new circuit noise analysis and modeling method. The noise analysis method c omputes an analytic expression of frequency, in rational form, which represents the Pad e approximation of the noise power spectral density. The approximation can be c arried out e ciently, to the required a c curacy, using a variant of the PVL 1 or MPVL 2 algorithms. The new method is signi cantly more e cient than traditional methods for noise computation at numerous frequency points. In addition, it allows for a compact and cascadable modeling of noise that can be used in system level simulations.
Proceedings of the 2002 IEEE/ACM international conference on Computer-aided design - ICCAD '02, 2002
This paper describes a fast method to estimate crosstalk noise in the presence of multiple aggressor nets for use in physical design automation tools. Since noise estimation is often part of the innerloop of optimization algorithms, very efficient closed-form solutions are needed. Previous approaches have typically used simple lumped 3-4 node circuit templates. One aggressor net is modeled at a time assuming that the coupling capacitances to all quiet aggressor nets are grounded. They also model the load from interconnect branches as a lumped capacitor and use a dominant pole approximation to solve the template circuit. While these approximations allow for very fast analysis, they result in significant underestimation of the noise. In this paper, we propose a new and more comprehensive fast noise estimation model. We use a 6 node template circuit and propose a novel reduction technique for modeling quiet aggressor nets based on the concept of coupling point admittance. We also propose a reduction method to replace tree branches with effective capacitors which models the effect of resistive shielding. Finally, we propose a new double pole approach to solve the template circuit. We tested the proposed method on noiseprone interconnects from an industrial high performance processor. Our results show a worst-case error of 7.8% and an average error of 2.7%, while allowing for very fast analysis.
researchweb.watson.ibm.com
This paper presents a highly accurate yet efficient crosstalk noise model, the 2-model, and applies it to interconnect optimizations for noise reduction. Compared to previous crosstalk noise mod-els with similar complexity, our 2-model takes into consideration many key ...
Journal of Telecommunication, Electronic and Computer Engineering, 2019
As the technology enters into deep sub-micron region, signal integrity is becoming a very crucial parameter. In order to deal with the challenges associated with signal integrity problem, such as, crosstalk noise and delay, estimation and minimizing techniques should be addressed with great importance. Along with this, the peak noise amplitude and noise width values in the sensitive node must be verified and confirmed that they are below the certain threshold levels. Hence, for a particular range of frequency, an accurate and efficient crosstalk noise estimation model is necessary to confirm the signal integrity. Therefore, this work aims to analyse the crosstalk noise between two interconnect lines using 2π RC model, and considering its physical parameters, such as the parasitic capacitance, resistance and inductance and interconnect parameters, specifically the spacing between two interconnects, length, width, thickness, height from substrate in deep sub-micron VLSI circuit. In th...
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2003
2003 Design, Automation and Test in Europe Conference and Exhibition, 2003
Interconnects have deserved attention as a source of crosstalk to other interconnects, but have been ignored as a source of substrate noise. In this paper, we evaluate the importance of interconnect-induced substrate noise. A known interconnect and substrate model is validated by comparing simulation results to experimental measurements. Based on the validated modeling approach, a complete study considering frequency, geometrical, load and shielding effects is presented. The importance of interconnect-induced substrate noise is demonstrated after observing that, for typically sized interconnects and state-ofthe-art speeds, the amount of coupled noise is already comparable to that injected by hundreds of transistors.
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 2011
Purpose-This paper aims to present a method for the efficient reduction of networks modelling parasitic couplings in very-large-scale integration (VLSI) circuits. Design/methodology/approach-The parasitic effects are modelled by large RLC networks and current sources for the digital switching currents. Based on the determined behaviour of the digital modules, an efficient description of these networks is proposed, which allows for a more efficient model reduction than standard methods. Findings-The proposed method enables a fast and efficient simulation of the parasitic effects. Additionally, an extension of the reduction method to elements, which incorporate some supply voltage dependence to model the internal currents more precisely than independent current sources is presented. Practical implications-The presented method can be applied to large electrical networks, used in the modelling of parasitic effects, for reducing their size. A reduced model is created which can be used in investigations with circuit simulators requiring a lowered computational effort. Originality/value-Contrary to existing methods, the presented method includes the knowledge of the behaviour of the sources in the model to enhance the model reduction process.
This paper presents a closed form crosstalk noise modelling for on-chip VLSI RC interconnects using 2π model. For low frequency of operation, the interconnect can be modelled as distributed RC segments with sufficient accuracy. This crosstalk noise modelling is carried out for the case when step input is applied to the aggressor which is adjacent to the victim net. The proposed model represents the noise voltage waveform. In this paper, the original 2π model is further simplified and the closed form formulae for noise pulse width and noise amplitude for RC interconnect have been derived. This model considers various parameters, such as coupling location (near driver and near receiver) and course distributed RC characteristics for victim net. The proposed crosstalk model results in an error of less than 6% when compared to that of the SPICE simulation.
2014 Ieee Acm International Conference on Computer Aided Design, 2014
Defects or traps in semiconductors and nano devices that randomly capture and emit charge carriers result in low-frequency noise, such as burst and 1/f noise, that are great concerns in the design of both analog and digital circuits. The capture and emission rates of these traps are functions of the time-varying voltages across the device, resulting in nonstationary noise characteristics. Modeling of low-frequency, nonstationary noise in circuit simulators is a longstanding open problem. It has been realized that the low frequency noise models in circuit simulators were the culprits that produced erroneous noise performance results for circuits under strongly time-varying bias conditions. In this paper, we first identify an almost perfect analogy between trap noise in nano devices and the so-called ion channel noise in biological nerve cells, and propose a new approach to modeling and analysis of low-frequency noise that is founded on this connection. We derive two fully nonstationary models for traps, a fine-grained Markov chain model based on recent previous work and a completely novel coarse-grained Langevin model based on similar models for ion channels in neurons. The nonstationary trap models we derive subsume and unify all of the work that has been done recently in the device modeling and circuit design literature on modeling nonstationary trap noise. We also describe joint noise analysis paradigms for a nonlinear circuit and a number of traps. We have implemented the proposed techniques in a Matlab ® based circuit simulator, by expanding the industry standard compact MOSFET model PSP to include a nonstationary description of oxide traps. We present results obtained by this extended model and the proposed simulation techniques for the low frequency noise characterization of a common source amplifier and the phase jitter of a ring oscillator.
2013 IEEE International Symposium on Circuits and Systems (ISCAS2013), 2013
This paper is concerned with the time-domain simulation of circuits including noise sources. In general, when a circuit admits a steady-state solution, small signal analyses are used to determine noise effects. There is a class of circuits (e.g., fractional PLLs based on ΔΣ modulators and forced oscillators) not admitting a steady-state solution with a period reasonable low multiple of the characteristic time scales of the circuit. In commercial analog simulators, time domain noise analyses have been implemented by "extending" linear multi-step integration methods or by introducing sampled versions of noise generators. Through a set of basic benchmark circuits, we show that these extensions are often affected by a relevant numerical noise floor hiding the effects of noise sources and drastically limiting the applicability of time domain noise analysis.
2001
Abstract Scaling the minimum feature size of VLSI circuits to sub-quarter micron and its clock frequency to 2 GHz has caused crosstalk noise to become a serious problem, that degrades the performance and reliability of high speed integrated circuits. This paper presents an efficient method for computing the capacitive crosstalk in sub-quarter micron VLSI circuits. In particular, we provide closed-form expressions for the peak amplitude, the pulse width, and the time-domain waveform of the crosstalk noise.
Nuclear Instruments and Methods in Physics Research …, 1996
Despite extensive literature on the analysis of noise in electronic circuits [17], it is sometimes difficult to generate an understanding at a useful fundamental level. The plethora of symbols used for a variable in different analysis can also make it very difficult to keep track of the ...
1999
Abstract—As technology scales into the deep submicron regime, noise immunity is becoming a metric of comparable importance to area, timing, and power for the analysis and design of very large scale integrated (VLSI) systems. A metric for noise immunity is defined, and a static noise analysis methodology based on this noise-stability metric is introduced to demonstrate how noise can be analyzed systematically on a full-chip basis using simulationbased transistor-level analysis. We then describe Harmony, a two-level (macro and global) hierarchical implementation of static noise analysis. At the macro level, simplified interconnect models and timing assumptions guide efficient analysis. The global level involves a careful combination of static noise analysis, static timing analysis, and detailed interconnect macromodels based on reduced-order modeling techniques. We describe how the interconnect macromodels are practically employed to perform coupling analysis and how timing constraint...
2015
Crosstalk noises have been estimated both for RC and RLC interconnects, respectively, in deep submicron VLSI circuits. The 2π model approach has been employed. The victim line is considered as an RC or RLC line, and the aggressor line is placed near the victim line. The aggressor line is excited with a voltage pulse at the coupling location keeping the victim line quiet. Analytical expressions of the output crosstalk noise voltages have been derived, and then the values of the peak noise voltages have been calculated. Subsequently, simulation work by HSPICE has been performed. The result shows an output crosstalk peak noise estimation of 6.29% error on average and that of 5.77% error on average compared with HSPICE simulation both for 2π RC and RLC interconnects, respectively.
Proceedings of ASP-DAC/VLSI Design 2002. 7th Asia and South Pacific Design Automation Conference and 15h International Conference on VLSI Design
In this paper we propose a dynamic noise model to verify functional failures due to crosstalk in high-speed circuits. Conventional DC noise analysis produces pessimistic results because it ignores the fact that a gate acts as a low-pass filter. In contrast, the dynamic noise model considers the temporal property of a noise waveform and analyzes its effect on functionality. In this model, both capacitive and inductive coupling are considered as the dominant source of noise in high-speed deep-submicron circuits. It is observed that in the case of the local interconnects (where wire lengths are short), the effect of inductive coupling is small; however, for long interconnects this effect may be considerable. Based on this noise model, we have developed an algorithm to verify high-speed circuits for functional failures due to crosstalk. Design of a 4-bit precharge-evaluate full adder circuit is verified, and many nodes which are susceptible to crosstalk noise are identified. It is observed and further verified by SPICE simulation that dynamic noise analysis is more realistic for verifying functional failures due to crosstalk than DC noise analysis.
This paper presents an accurate, fast and simple closed form solution to estimate crosstalk noise between two adjacent wires, using RC interconnect model in two situations: simple resistance as driver and short channel CMOS inverter as a driver. The salient features of our proposed models include minimization of computational overhead, elimination of adjustment step to predict the peak amplitude and pulse width of the noise waveform. Numerical calculations are compared with SPICE simulation and other metrics by plotting the noise voltage verses time. Based on our proposed models, we derive analytical delay models due to RC interconnect in each case. Finally we formulate energy dissipation of the RC coupled interconnects in both the cases using our proposed metrics. Experimental results indicate that our models are closely comparable with SPICE simulation, with an average estimation error of 3.366%.
arXiv (Cornell University), 2023
Model order reduction (MOR) is crucial for the design process of integrated circuits. Specifically, the vast amount of passive RLCk elements in electromagnetic models extracted from physical layouts exacerbates the extraction time, the storage requirements, and, most critically, the post-layout simulation time of the analyzed circuits. The MORCIC project aims to overcome this problem by proposing new MOR techniques that perform better than commercial tools. Experimental evaluation on several analog and mixed-signal circuits with millions of elements indicates that the proposed methods lead to ×5.5 smaller ROMs while maintaining similar accuracy compared to golden ROMs provided by ANSYS RaptorX™.
Applied Numerical Analysis & Computational Mathematics, 2004
In recent years, model order reduction scheme for reducing the dimension of linear systems has become very popular for computer aided design of the systems. In this paper, we analyze the existent methods of the model order reduction techniques used in Very Large Scale Integrated (VLSI) circuit interconnection modelling in terms of numerical stability, computational speed and accuracy.
2011
Ever since its beginnings in the 1950’s, the integrated circuit (IC) has profoundly changed our lives. The way we work, travel, communicate, or address medical problems today has been facilitated by advances in microelectronics, which permit more functionality to be built on the same silicon area, at decreasing cost. As the feature size of devices on a chip shrink and circuits operate at increasing frequencies, the electromagnetic coupling effects between different IC components can no longer be ignored. To understand their impact on chip performance, these so called parasitic effects must be simulated. Parasitic networks are often so large, that state of the art simulation tools are insufficient to handle them: the simulations are either too lengthy, or cannot be carried out at all. The mathematical reason behind this is that the underlying systems are too large to be solved with the numerical algorithms implemented in simulation software. Model order reduction (MOR) provides one a...
2001
This paper presents a much improved, highly accurate yet efficient crosstalk noise model, the 2-¢ model, and applies it to noiseconstrained interconnect optimizations. Compared with previous crosstalk noise models of similar complexity, our 2-¢ model takes into consideration many key parameters, such as coupling locations (near-driver or near-receiver), and the coarse distributed RC characteristics for victim net. Thus, it is very accurate (less than 6% error on average compared with HSPICE simulations). Moreover, our model provides simple closed-form expressions for both peak noise amplitude and noise width, so it is very useful for noise-aware layout optimizations. In particular, we demonstrate its effectiveness in two applications: (i) Optimization rule generation for noise reduction using various interconnect optimization techniques; (ii) Simultaneous wire spacing to multiple nets for noise constrained interconnect minimization.
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