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40 MHz patterns

1. 40 MHz patterns. 40 MHz patterns. C. Willmott. CMS Week Sep 20 th , 2005. 40 MHz patterns. 2. 15.10 6 events. 40 MHz patterns. C. Willmott. CMS Week Sep 20 th , 2005. Simulation. 3. 40 MHz patterns. C. Willmott. CMS Week Sep 20 th , 2005. Pattern Analysis. 4.

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40 MHz patterns

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  1. 1 40 MHz patterns 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

  2. 40 MHz patterns 2 15.106 events 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

  3. Simulation 3 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

  4. Pattern Analysis 4 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

  5. Analytical Pattern Reconstruction 5 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

  6. TDC Specifications 6 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

  7. TDC DNL and INL 7 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

  8. Nasty Histograms 8 27%pp 8% RMS 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

  9. Mathematics 9 Some mathematical relationships • Time-box histograms are a kind of “code density plots” which are directly related to differential non linearity (DNL). • But we are interested in integral non linearity (INL) which can be calculated from DNL plot by integration. Receipt • Calculate DNL: dnl(i) = h(i)/histogram_mean_value – 1 • Calculate INL : inl(i) = inl(i-1)+dnl(i) • Find MAX, MIN in INL. These are maximum time deviation in TDC LC’s. Hints: to have meaningful results statistics fluctuations must be negligible. In practice counts per bin should be 10000 counts or higher. Use a flat region of the time-box. 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

  10. Example 10 0.35 LC pp ~ 140 ps 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

  11. Conclusions 11 • This effect can be explained as a phase modulation by clock harmonics. • Small arrival time shifts may cause large visual effects in drift time histograms. • Worst case configurations we manage to setup in our Lab seem to correspond to arrival time variations in the range of 100-200 ps, compatible with TDC specifications (INL). • Most likely there is not a single source of phase modulation, but a sum of small effects across the whole system. Next steps • Isolate and quantify possible sources: TDC, ROB, TRB, cabling, PS, grounding ... • Study multiple pulses case. 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

  12. Simulated patterns 12 40 MHz patterns. C. Willmott CMS Week Sep 20th , 2005

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