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Published byAriel Tyler Modified about 1 year ago

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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

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

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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

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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

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5 Jitter estimation (classical)

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6 Jitter estimation (new)

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7 Cost functions measurementsmodels

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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

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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)

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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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