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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