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Artificial Jitter Project Final P resentation

Spring 2011. Artificial Jitter Project Final P resentation. Presented by: Sergey Volkovich Vladimir Dibnis. Supervisor: Mony Orbach.

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Artificial Jitter Project Final P resentation

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  1. Spring 2011 Artificial Jitter ProjectFinal Presentation Presented by: Sergey Volkovich Vladimir Dibnis Supervisor: MonyOrbach

  2. Jitter is a significant phenomena at high speed communication lines which strongly affects signal integrity. Therefore it is important to be able to artificially create different types of jitter in order to explore its implications and use it for educational purposes. Project Motivation

  3. To study the high speed channels jitter phenomena and its types • To artificially create different types of jitter using Tabor’s Arbitrary Waveform Generator via a Matlab GUI • To present the different jitter phenomena using the Agilent Infiniium Scope and analyze them with different methods Project Goal

  4. Tabor WX2182 Arbitrary Waveform Generator Matlab GUI on PC LAN Cable SMA to BNC Cable Agilent Infiniium Scope Software Project Environment Hardware

  5. Dual output configuration with independent waveform control • Operational in each of the following modes: • Function generator, Arbitrary waveform generator, Modulation generator,Sequence generator,Pulse generator • 12 Bit vertical resolution • 32M waveform memory • 2 Vp-p into 50Ω, double into open circuit • Complex sequences link and loop segments in user-definable order • Ethernet, USB and GPIB interfaces Tabor WX2182 Waveform Generator Characteristics

  6. In order to create an arbitrary waveform we store coordinates in the device’s memory and transfer them through a D/A to the oscilloscope according to the clock sampling rate, which is set to 2.1G points/s. • The minimum points needed per data bit is 320. Therefore the maximum data bit rate is 6.56MHz according to the following formula: Tabor WX2182 Arbitrary Waveform Characteristics Data bit rate = sampling rate / segment length

  7. Total Jitter Jitter is a short term variation in a digital signal from its ideal value in time. • Deterministic Jitter • Periodic Jitter • Bounded Uncorrelated Jitter • Data-Dependent Jitter Random Jitter Jitter Theoretical Overview Inter Symbol Interference Duty Cycle Disorder

  8. Deterministic Jitter (DJ): noise with bounded values which is not normally distributed • Periodic Jitter (PJ): has discrete frequency components • Bounded Uncorrelated Jitter (BUJ): signal-independent and bounded in its distribution • Data-Dependent Jitter (DDJ): signal-dependent • Inter Symbol Interference (ISI): caused by near bits influence on the measured bit • Duty Cycle Disorder (DCD): caused by different rise and fall times • Random Jitter (RJ): signal-independent random noise, can be modeled by Normal distribution Jitter Types

  9. Eye Diagram: Time Interval Error Trend: Periodic Jitter - Sinusoidal Periodic Jitter - Squared Frequency Domain: Histogram: Bathtub Curve: Jitter Measurements Random Jitter Random & Periodic Jitter Random Jitter

  10. Receive the GUI parameters Create a signal matrix without a jitter Create the total jitter effect matrix Create the jittered data matrix according to the signal and total jitter effect matrices Data Creation Algorithm Send data to the waveform generator to be continuously generated

  11. Sinusoidal Periodic Jitter: • Random Jitter: x = linspace(0 , 2*pi,total_bits); effect_pj = sin(x); effect_rj = rj_mean + rj_stdev.*randn(1,total_bits); • Bounded Uncorrelated Jitter: in the same method same as in RJ but when the values exceed the boundaries they’re being regenerated. • Duty Cycle Disorder: by scanning the signal matrix we find where changes occur and insert a constant value to the corresponding place in the disturbance matrix. • Inter Symbol Interference: by scanning the signal matrix we find where changes occur and the number of the identical preceding bits. We then calculate and insert a constant value to the corresponding place in the disturbance matrix according to the formula: • Jitter Combinations: we sum the different disturbance matrices or calculate their weighted average. Disturbance Matrix Creation

  12. The Graphic User Interface

  13. Eye Diagram: Periodic Jitter Jitter Size = 0.1UI = 20ns

  14. Bathtub Curve: Periodic Jitter Jitter Size = 0.1UI. It can be seen that the jitter is deterministic.

  15. Time Interval Error (TIE) Trend – Squared: Periodic Jitter Jitter Size = 0.1UI = 20ns

  16. Time Interval Error (TIE) Trend – Sinusoidal: Periodic Jitter Jitter Size = 0.1UI = 20ns

  17. Time Interval Error (TIE) Trend – Triangular: Periodic Jitter Jitter Size = 0.1UI = 20ns

  18. Time Interval Error (TIE) Histogram - Squared: Periodic Jitter Jitter Size = 0.1UI = 20ns

  19. Time Interval Error (TIE) Histogram - Sinusoidal: Periodic Jitter Jitter Size = 0.1UI = 20ns

  20. Time Interval Error (TIE) Histogram - Triangular: Periodic Jitter Jitter Size = 0.1UI = 20ns

  21. Frequency Domain: Periodic Jitter Zoomed In Squared

  22. Random Jitter Eye Diagram: Standard Deviation = 5

  23. Bathtub Curve – Different Standard Deviations: Random Jitter Standard Deviation = 1 Standard Deviation = 2

  24. Random Jitter Time Interval Error (TIE) Trend: The trend isn’t periodic due to the random nature of the jitter

  25. Random Jitter Frequency Domain: There are no discrete values due to the random nature of the jitter

  26. Time Interval Error (TIE) Histogram – Different Standard Deviations: Random Jitter Standard Deviation = 1 Standard Deviation = 5

  27. Time Interval Error (TIE) Histogram – Different Means: Random Jitter Standard Deviation = 1, Mean = 0.1UI Standard Deviation = 1, Mean = -0.1UI

  28. Eye Diagram – Different Boundaries: Bounded Uncorrelated Jitter Precedence Boundary = 0.05UI Delay Boundary = 0.05UI

  29. Time Interval Error (TIE) Histogram – Different Distributions: Bounded Uncorrelated Jitter Gaussian Distribution, Jitter Size = 0.2UI Uniform Distribution, Jitter Size = 0.4UI

  30. Bathtub Curve – Different distributions, bounded to ±0.05UI: Bounded Uncorrelated Jitter Gaussian Distribution, Standard Deviation = 5 Uniform Distribution

  31. Data Dependent Jitter Duty Cycle Disorder: Rise Time Delay, Jitter Size = 0.2UI Fall Time Delay, Jitter Size = 0.2UI

  32. Data Dependent Jitter Duty Cycle Disorder – Random Signal: Rise Time Delay, Jitter Size = 0.2UI

  33. Data Dependent Jitter Inter Symbol Interference: Rise Time Delay, τ = 10 → 7% change Fall Time Delay, τ = 10 → 7% change

  34. Data Dependent Jitter DCD and ISI Combination: DCD Size = 0.1UI = 20ns, τ of ISI = 10 → 17% change

  35. Data Dependent Jitter Duty Cycle Disorder – Bathtub Curve: DCD Size = 0.1UI = 20ns

  36. Data Dependent Jitter Inter Symbol Interference - Bathtub Curve : Random Signal, τ = 20 Random Signal, τ = 5

  37. Combination of Jitters Sinusoidal Periodic Jitter and Random Jitter Combination – TIE Trend: SinusoidalPJ Jitter Size = 0.1UI RJ Standard Deviation = 3 Sinusoidal PJ Jitter Size = 0.1UI RJ Standard Deviation = 1

  38. Combination of Jitters Sinusoidal Periodic Jitter and Random Jitter Combination – Bathtub Curve: Sinusoidal PJ Jitter Size = 0.1UI RJ Standard Deviation = 3 Sinusoidal PJ Jitter Size = 0.1UI RJ Standard Deviation = 1

  39. Combination of Jitters Squared Periodic Jitter and Random Jitter Combination – Histogram: SquaredPJ Jitter Size = 0.1UI RJ Standard Deviation = 1 Squared PJ Jitter Size = 0.1UI Without the Random Jitter

  40. Combination of Jitters Sinusoidal Periodic Jitter and Random Jitter Combination – Frequency Domain: With the Random Jitter Without the Random Jitter

  41. Combination of Jitters Bounded Uncorrelated Jitter and Random Jitter - Histogram: BUJ Boundaries = 0.05UI, BUJ Standard Deviation = 1, RJ Standard Deviation = 10

  42. Combination of Jitters Inter Symbol Interference and Random Jitter Combination – Bathtub Curve: Random Signal, τ of ISI = 3, Without the Random Jitter Random Signal, τ of ISI = 3, RJ Standard Deviation = 3

  43. Combination of Jitters Sinusoidal Periodic Jitter and Duty Cycle Disorder Combination – Eye Diagram: PJ Jitter Size = 0.2UI = 40ns, DCD Jitter Size = 0.2UI = 40ns PJ Jitter Size = 0.2UI = 40ns, Without the Duty Cycle Disorder

  44. We have studied the high speed channels jitter phenomena, its types and the different methods to measure and analyze it • We have created a Matlab GUI that allows us to artificially create all the required jitter types, combine them and control their different parameters • We have performed a profound analysis on all of the artificially created jitter types and their different combinations by measuring, analyzing and comparing them to the defined parameters Summary and Conclusions

  45. We have learned that the signal generator combined with Matlab makes a very powerful tool for arbitrary signal creation and can be used as an educative tool • The main limitation of the signal generator is the minimal number of points needed for creating a bit • The generated wave could be used as an input for other circuits for further applications • In future projects it is possible to recreate other phenomena using the same environment

  46. Thank You!

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