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LeCroy SDA - Page 17

LeCroy SDA
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SDA Operator’s Manual
SDA-OM-E Rev H 17
Vertical Noise Compensation .................................................................................... 385
Introduction ........................................................................................................................... 385
Signal Slew Rate and How Vertical Noise Converts to Jitter ................................................ 385
The Relative Impact of Noise on Jitter (Quadratic Addition of Noise) .................................. 386
How the Measurement System Noise Is Subtracted from the Jitter Measurement .............. 386
Q-scale Theory .......................................................................................................... 386
Introduction ........................................................................................................................... 386
Interpretation of TIE Histogram – the Distribution of Edge Transition Times vs. Ideal
(Expected) Transition Times ................................................................................................. 387
Relationship between Histograms and PDF ......................................................................... 387
Integrating the PDFs ............................................................................................................. 388
Extrapolation of the Distribution Tails (Extremes) ................................................................ 389
The Error Function erf(x), Inverse Error Function erf
-1
(x) and Related Functions ................ 389
The Relationship between the Inverse Error Function and Total Jitter ................................ 390
Application of Error Function to Measured Jitter CDF (on Q-scale) ..................................... 391
Automatic Renormalization of the Q-scale ........................................................................... 393
Obtaining Deterministic and Random (Gaussian) Components from the Normalized Q-scale
Diagram ................................................................................................................................ 396

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