Statistical Simulation of Physical Transmission Media

Sanders, A.

doi:10.1109/tadvp.2009.2021069

Cited by 23 publications

(10 citation statements)

References 5 publications

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“…Standard FFT methods may be used to recover the timedomain impulse or step responses, which in turn may be processed to derive global metrics such as eye diagram openings or Bit Error Rate (BER) statistics [1]- [4]. The main drawback of this approach is the intrinsic assumption of linearity.…”

Section: Introductionmentioning

confidence: 99%

A two-level waveform relaxation approach for fast transient simulation of long high-speed interconnects

Loggia

Grivet-Talocia

2010

19th Topical Meeting on Electrical Performance of Electronic Packaging and Systems

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This paper presents a waveform relaxation approach for efficient transient simulation of fully-coupled high-speed channels of medium to large electrical length. The channel is first described via a passive Delayed Rational Macromodel, which is suitably identified from tabulated scattering data. The structure of the macromodel is then exploited to setup a two-level iterative relaxation scheme for the solution of terminal voltage and current waveforms. Numerical results show that the proposed scheme outperforms standard SPICE-based solvers at no loss of accuracy.

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Section: Introductionmentioning

confidence: 99%

A two-level waveform relaxation approach for fast transient simulation of long high-speed interconnects

Loggia

Grivet-Talocia

2010

19th Topical Meeting on Electrical Performance of Electronic Packaging and Systems

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“…5(a). Once the distributions of deterministic and random noises are determined, ths SSO noise distribution is integrated into a behavior simulation tools to perform system-level analysis in similar factions as described in [2]. The bounded distributions of the SSO noise, ISI, and crosstalk (Xtalk), and the bounded and unbounded device noise and jitter are combined to generate the probability distribution or BER of the overall system as a function of time or voltage.…”

Section: Resultsmentioning

confidence: 99%

“…Thus, this worst case scenario, which is often considered over much larger simulation times, is allowing for a very unlikely event in the analysis that results in pessimistic prediction of the SSO noise impact in high-speed signaling. To be realistic, when designing high-speed links for a certain bit-error rate, the probability of the bit sequences causing eye closure should be included in margining the link, in the same way that ISI and jitter are included in bathtub curves [2].…”

Section: Methodsmentioning

confidence: 99%

“…An alternative approach is to use a system simulation approach by modeling the components in a link as blocks whose behaviors are described by higher-level languages such as MATLAB, Verlog-A, or NumPy (Python) [2]. The channel behavior is characterized through an ISI probability density function (pdf ) or probability mass function (pmf ) that is analytically derived from the channel characteristic functions.…”

Section: Introductionmentioning

confidence: 99%

“…It is important to note that this statistical approach is based on superposition and therefore relies on the linearity of the system. A tutorial and a summary of the recent development in statistical simulation of transmission channels are presented in [2].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Statistical simulation of SSO noise in multi-gigabit systems

Beyene

Amirkhany

Abbasfar

2009

2009 IEEE 18th Conference on Electrical Performance of Electronic Packaging and Systems

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The use of deterministic techniques to evaluate the impact of simultaneous switching output (SSO) noise on the performance of modern highspeed systems with tight timing budget can be pessimistic. These can lead to conservative design, especially, in multi-gigabit systems with embedded coding or scrambling sublayer. To overcome the shortcomings of conventional methodologies, a statistical simulation method of evaluating the impact of SSO noise on high-speed single-ended signaling systems is presented. The method correctly considers the spatial and temporal distributions of switching activities of devices in the system to calculate the performance degradation of the interface due to power supply noise. First, transient behavior that describes the power supply noise coupling to the signal receiver is generated. Then, using the probability distributions of the switching activities of the drivers, the SSO noise distribution is determined. Finally, this distribution is combined with the channel intersymbol interference (ISI) and device noise and jitter distribution of the signals to calculate the bit error rate (BER) of the overall system.

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System-level characterization of modal signaling for high-density off-chip interconnects

Milošević

Schutt-Ainé

2011

2011 IEEE Electrical Design of Advanced Packaging and Systems Symposium (EDAPS)

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Statistical Simulation of Physical Transmission Media

Cited by 23 publications

References 5 publications

A two-level waveform relaxation approach for fast transient simulation of long high-speed interconnects

A two-level waveform relaxation approach for fast transient simulation of long high-speed interconnects

Statistical simulation of SSO noise in multi-gigabit systems

System-level characterization of modal signaling for high-density off-chip interconnects

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