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Enhanced Time Base Jitter Compensation of Sine Waves. Vrije Universiteit Brussel Faculteit Ingenieurswetenschappen Vakgroep ELEC Pleinlaan 2, B-1050 Brussels,

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Presentation on theme: "Enhanced Time Base Jitter Compensation of Sine Waves. Vrije Universiteit Brussel Faculteit Ingenieurswetenschappen Vakgroep ELEC Pleinlaan 2, B-1050 Brussels,"— Presentation transcript:

1 Enhanced Time Base Jitter Compensation of Sine Waves. Vrije Universiteit Brussel Faculteit Ingenieurswetenschappen Vakgroep ELEC Pleinlaan 2, B-1050 Brussels, Belgium Frans Verbeyst Yves Rolain Rik Pintelon Johan Schoukens

2 2 Motivation LSNA phase calibration requires a calibrated oscilloscope a calibrated HPR

3 3 Sampling oscilloscopes “reality” drift jitter mismatches, connector saver time base errors distortion t k  k.  t vertical errors offset nonlinearity dynamics measure, estimate, compensate vertical cal plug-in avoid: use small signal measure and compensate nose2nose EOS

4 4 Amplitude verification setup VNA/LSNA calibration elements scope stepped sine wave k.600 MHz (k = ) SOL + power meter freerun + histogram = assumptions normal mode = full correction jitter sine wave

5 5 Jitter estimation (classical)

6 6 Jitter estimation (new)

7 7 Cost functions measurementsmodels

8 8 Simulations units true value LSWLS1WLS2ML mV75.00 ± ± ± ± 0.08 rad ± ± ± ± (ps) ± ± ± ± (mV) ± ± ± ± f =  /2  = 48 GHz known t i = i.dt (dt = 1.25 ps) N = 4000 sample var of sample var sample var  2 distributed 25 sets of 25 realizations

9 9 t (ns) var ( x V 2 ) ML estimate A = ± 0.02 mV  = ± rad = ± ps = ± mV mean ( m V) Measurements 50 GHz sampling scope 48 GHz 500 realizations incl. time base drift and time base distortion t (ns)

10 10 Conclusions Exact expressions do exist … Watch out for WLS estimators Prefer ML estimator … … especially for modest data sets (500) Thank you for your attention ! … for sine wave and Gaussian jitter


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