1993 new modelling&simulation_environment_pb_gen_1993_full_slide_collection

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Piero Belforte

Technology Business

A classical way to model lossy TL is to apply the Vector Fitting (VF) technique to theoretical frequency domain impedance expression taking into account both conductor and dielectric losses. The resulting poles and zeros can be implemented by a cascade of unit cells containing a lumped RLC circuit and a transmission line. To get a wideband (40Ghz) model a suitable number of cells and a sub-picosecond simulation time step are required to get accurate results. This VF technique has been applied to a RG58 coaxial cable and the resulting circuit has been simulated in time domain using DWS. The results are then compared at 40Gb/s to those coming from CST Cable Studio up showing a very good agreement with a DWS/CST speedup of about 710X.

SWAN/DWS micro-behavioral power/gnd plane modelling.

Piero Belforte

2007 biased reflectometry_international_zurich_congress_on_emc_september_2007Piero Belforte

The basic concepts of two fitting methods suitable for signal and power integrity simulation up to multi-gigabit/sec rates are presented. The traditional method is based on Vector Fitting (VF), a well known technique to approximate complex functions of frequency by a rational polynomial expression in terms of poles and residues. The second is a full time-domain approach mainly based on behavioral models supported by the Digital Wave Simulator. PWLFIT/DWS advantages over VECTFIT/Spice can be summarized with the 3S acronym: SIMPLICITY, STABILITY and SPEED. SIMPLICITY because the pwl fitting of a time-domain behavior is a very fast, explicit and intuitive process that doens't need the solution of implicit equations as required by Vector fitting. Time-domain S-parameter of actual devices in matched conditions shows simpler behaviors than the corresponding impedance in the frequency domain. STABILITY because the use of Digital Wave processing is intrinsically very stable. Extracted pwl behaviors processed by fast convolution within DWS are unconditionally stable if the source behavior is stable. This means that NO numerical conditioning is required. As known Vector Fitting often require numerical conditioning to get stable results. SPEED: time-domain pwl fitting is a very fast process. DWS simulations are also very fast even at very small time steps required by multigigabit system analysis. DWS/SPICE typical speedups are 100X for traditional VF derived RLC-TL circuits and up to 10000X when using pwl Behavioral Models in time domain.

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2012 pb vi trajectory plots for transmission line models evaluationPiero Belforte

Digital Wave Simulation of Lossy Lines for Multi-Gigabit Applications

Piero Belforte

Frequency domain Vector Fitting (VF) is a well known technique to generate circuital models of a spatially discretized lossy transmission lines from theoretical formulation of losses. The sub-picosecond time steps required by multi-gigahertz bandwidths and short transmission lines included in the models, determine long Spice simulation times. A 100X speedup can be gained using the Digital Wave Simulator (DWS) instead of Spice. DWS processes the waves of a Digital Network built up connecting together scattering blocks (circuit elements, nodes and S-parameter multi-ports) coming from a Spice-like description. Being a DSP wave processor instead of a classical nodal equations solver, DWS is computationally very fast and numerically stable. Comparisons with commercial simulators like Microcap11 and CST Cable Studio show a good matching of results. A further 10-100X simulation speedup is obtained if Piecewise-Linear Fitting (PWLF) is used to describe the time-domain behaviors of Scattering Parameters. Single or multiple cell Behavioral Time Models (BTM) can be extracted by PWLF from TDR/TDT measurements and processed by DWS fast convolution algorithms. A setup de-embedding can be performed by pwl breakpoints optimization to fit actual measurements. A RG58 coaxial cable is analyzed and its VF-derived eye-diagrams are compared to PWLF measurement-derived results. At multi-gigabit rates significant differences, due to cable physical implementation effects, are observed. The modeling/simulation alternatives (VF/Spice, VF/DWS and PWLF/DWS) are compared together and the advantages of PWLF/DWS in term of simplicity, stability and speed are highlighted.

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A parallel-plate capacitor implemented by a rectangular double-sided printed circuit board is characterized by means a stimulus signal injected at a corner. Both frequency-domain (VNA) and time-domain (TDR) techniques are utilized to determine the step response of the reflected wave (S11) to be compared to the theoretical behavior of the equivalent parallel plate capacitance. A commercial application is utilized to convert the frequency domain tabulated data of the frequency response into the corresponding TDR response. A very accurate and fast 2D TLM (Transmission Line Model) model can be easily extracted from these single time-domain experimental responses.

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An innovative full time-domain macromodeling technique for general, linear multiport systems is described. The methodology is defined in a digital wave framework and timedomain simulations are performed via an efficient method called Segment Fast Convolution (SFC). It is based on a piecewiseconstant (PWC) model of the impulse response of scattering parameters, computed starting from a piecewise-linear fitting of their step response (PWLFIT). Such step response is directly available from time-domain reflectometer measurements (TDR/TDT) or equivalent simulations. The model-building phase is performed in a fast automated framework and an analytic formulation of computational efficiency of the SFC with respect to the standard time-domain convolution is given. Two application examples are used to verify the PWLFIT performance and to perform a comparison with macromodeling methods defined in the frequency-domain, such as Vector Fitting (VF). Index Terms—Digital wave models, time-domain macromodeling, S-parameters, step response.

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This document describes the modeling methodology used to assess the performance of these probes in terms of allowed digital bandwidth of signals chosen for temporary fault insertion trials. This methodology is based on time-domain characterization of Scattering parameters (TDR/TDT) and subsequent extraction of a Behavioral Time-domain Model (BTM) [13] of the probe itself. This technique called PWLFIT (Piece-Wise Linear FITting) [14] [15]is supported by the Digital Wave Simulator DWS [16] [17] and its companion tool DWV [18] developed starting in the early '90s for very fast modeling and simulation of high-speed circuits and systems.

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1993 new modelling&simulation_environment_pb_gen_1993_full_slide_collection

1. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 1

2. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 2

3. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 3

4. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 4

5. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 5

6. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 6

7. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 7

8. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 8

9. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 9

10. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 10

11. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 11

12. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 12

13. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 13

14. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 14

15. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 15

16. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 16

17. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 17

18. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 18

19. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 19

20. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 20

21. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 21

22. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 22

23. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 23

24. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 24

25. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 25

26. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 26

27. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 27 note: photos of the actual setups are shown at the end of this slide collection

28. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 28

29. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 29

30. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 30

31. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 31

32. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 32

33. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 33

34. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 34

35. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 35

36. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 36

37. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 37

38. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 38

39. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 39

40. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 40

41. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 41

42. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 42 https://docs.google.com/file/d/0Bx-ZqV10CSiNVV9YckthUnV5ajA/edit

43. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 43

44. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 44

45. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 45

46. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 46

47. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 47

48. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 48 Here the photos taken by the author documenting the experimental work related to some of the previous application examples (HDT,1992) Fig.1 TDR (CSA803) characterization of coupled traces on a multilayer PCB board (Olivetti, CPU)

49. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 49 Fig.2 Workstation screenshot of the simulated BTM models TDR (CSA803) of coupled traces compared to actual CSA803 measures (Fig.1)

50. Piero Belforte Gen. 1993: A NEW MODELING & SIMULATION ENVIROMENT FOR HIGH-PERFORMANCE DIGITAL SYSTEMS. Original Author Draft for HP SYMPOSIUM SLIDES Copyright Piero Belforte 1993 -2012 50 Fig. 3: Complete setup including a DMD PC with Sprint&Sights running under SCO UNIX and the CSA803 connected through a RS232 port for experimental measures (Reflection from an Eclinps IC output). The Eclinps board used for this paper is shown during a TDR measure. The PC screen dsplays an actual simulation presented in this paper

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