Location of Repository

High-Speed Interconnect Models with Stochastic Parameter Variability

By Paolo Manfredi


In the process of design and fabrication of electronic products, numerical simulation plays a fundamental role for a preliminary electromagnetic compatibility (EMC) assessment of devices in the early design phase. Direct EMC measurements impact both cost and time-to-market as they require purchase and/or hiring of facilities and instruments, as well as fabrication of prototype devices, and need therefore to be minimized. Nowadays, designers can rely on several sophisticated modeling tools, helping them to perform right-the-first-time designs. Nonetheless, these simulation models are accurate as long as we are able to assign accurate values to each system parameter. In modern high-speed and high-density designs, process variations and uncertainties in operating conditions result in parameters which are hard to control or partially unavailable. The device response is thus no longer regarded as deterministic, but is more suitably interpreted as a random process. In this framework, the assessment of signal integrity requires a statistical analysis, which is traditionally based on the so-called Monte Carlo or other sampling-based methods. Yet, for practical applications, these approaches are often too time-consuming, as they are known to require a large number of samples to converge. In this thesis, we extend available literature results to the efficient analysis of high-speed interconnects, such as avionic and industrial cables or printed circuit board traces, affected by uncertainties, like process variations or unavailable operating conditions. Specifically, the framework of polynomial chaos theory is adopted to create stochastic models for transmission lines which are faster to be simulated compared to repeated Monte Carlo simulations. Such methodology is based on the expansion of random quantities in series of orthogonal polynomials, and has been already and successfully applied to the analysis of lumped circuits. In this work, the modeling of distributed components, which are key elements for modern high-frequency designs, is addressed. The advocated approach is general and overcomes the limitations of available literature models for the statistical analysis of the signal propagation over interconnects, which are based on simplified structures and approximate assumptions. Also, a SPICE-compatible implementation is presented, thus allowing the convenient use of SPICE-like circuit analysis tools for the simulation of complex stochastic network topologies, avoiding the creation of customized, ad hoc implementations. This thesis provides a comprehensive theoretical discussion together with several tutorial application examples, thus complementing the published materia

Year: 2013
DOI identifier: 10.6092/polito
OAI identifier: oai:porto.polito.it:2513763
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://porto.polito.it/2513763... (external link)
  • http://porto.polito.it/2513763... (external link)
  • Suggested articles



    1. (2011). 3Recognized with a Young Scientist award.List of
    2. (1981). A probabilistic approach to wire coupling interference prediction,”
    3. (2012). A statistical assessment of opto-electronic links,” doi
    4. (2012). Analysis of common-mode noise on on-chip differential lines through stochastic modeling of parameter variability,” doi
    5. (2012). Carbon nanotube interconnects: process variation via polynomial chaos,” doi
    6. (2012). Closed-form formulas for the stochastic electromagnetic field coupling to a transmission line with arbitrary loads,” doi
    7. (2012). Comparison of stochastic methods for the variability assessment of technology parameters,” doi
    8. (2011). Comparison of stochastic methodsforthevariabilityassessmentoftechnologyparameters,” inProceedingsoftheXXX General Assembly and Scientific Symposium of the International Union of Radio Science, doi
    9. (2011). Crosstalk transient analysis of PCB interconnects including process variability,” doi
    10. (2009). Electromagnetic Fields in Cavities. Deterministic and Statistical Theories. doi
    11. (2012). Expedite stochastic SPICE simulations by means of polynomial chaos,”
    12. (2011). Frequency and time domain variability analysis of an on-chip inverted embedded microstrip line using a macromodeling-based stochastic Galerkin method,” doi
    13. (2011). Impact of dielectric variability on modal signaling over cable bundles,”
    14. (2011). Numerical simulation of impedance discontinuities resulting from degradation of interconnections on printed circuit boards,” doi
    15. (2011). Parameters variability effects on microstrip interconnects via Hermite polynomial chaos,” doi
    16. (2011). Parameters variability effects on multiconductor interconnects via Hermite polynomial chaos,” doi
    17. (2011). Performanceofmodalsignalingvs.medium dielectric variability,” doi
    18. (1998). Plane wave integral representation for fields in reverberation chambers,” doi
    19. (2012). Polynomial chaos for random field coupling to transmission lines,” doi
    20. (2011). Polynomial chaos helps assessing parameters variations of PCB lines,” doi
    21. (2012). Polynomial chaos representation of transmission-line response to random plane waves,” doi
    22. (2011). Polynomial chaos-based tolerance analysis of microwave planar guiding structures,” doi
    23. (2012). Polynomialchaosforrandomfieldcouplingtotransmission lines,”
    24. (2011). S.V.Tkachenko, andR.Vick, “Couplingofstochasticelectromagneticfields to a transmission line in a reverberation chamber,” doi
    25. (2012). Statistical analysis of multiconductor cables and interconnects with internal variability and field coupling,” doi
    26. (1998). Statistical response of EM-driven cables inside an overmoded enclosure,” doi
    27. (2012). Statisticalpredictionoftemperatureeffectsinsidethroughsilicon vias by means of orthogonal polynomials,” doi
    28. (2012). Stochastic modeling-based variability analysis of on-chip interconnects,” doi
    29. (2010). the Bachelor and Master theses he focused on issues related to the modeling of interconnection structures. Since
    30. (2012). Time and frequency-domain evaluation of stochastic parameters on signal lines,” doi
    31. (2012). Time- and frequency-domain evaluation of stochastic parameters on signal lines,” doi
    32. Variability analysis of interconnects terminated by general nonlinear loads,” submitted to the doi

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.