Covariance-based uncertainty analysis of the NIST electrooptic sampling system

We develop a covariance matrix describing the uncertainty of mismatch-corrected measurements performed on the National Institute of Standards and Technology's electrooptic sampling system. This formulation offers a general way of describing the uncertainties of the measurement system in both the temporal and frequency domains. We illustrate the utility of the approach with several examples, including determining the uncertainty in the temporal voltage generated by the photodiode

[1]  Barry N. Taylor,et al.  Guidelines for Evaluating and Expressing the Uncertainty of Nist Measurement Results , 2017 .

[2]  David I. Bergman,et al.  Pulse parameter dependence on transition occurrence instant and waveform epoch , 2005, IEEE Transactions on Instrumentation and Measurement.

[3]  Dylan F. Williams,et al.  Uncertainty of the NIST Electrooptic Sampling System | NIST , 2004 .

[4]  D. Wilcox,et al.  On the analysis of cross-correlations in South African market data , 2004 .

[5]  Jack C. M. Wang,et al.  An optimal vector-network-analyzer calibration algorithm , 2003 .

[6]  Nicholas G. Paulter,et al.  NIST-NPL interlaboratory pulse measurement comparison , 2003, IEEE Trans. Instrum. Meas..

[7]  N. G. Paulter,et al.  Sources of uncertainty in the nose-to-nose sampler calibration method , 2003, IEEE Trans. Instrum. Meas..

[8]  P. Hale,et al.  Calibrating photoreceiver response to 110 GHz , 2002, The 15th Annual Meeting of the IEEE Lasers and Electro-Optics Society.

[9]  A.J.A. Smith,et al.  Optoelectronic techniques for improved high speed electrical risetime , 2002, 2002 IEEE MTT-S International Microwave Symposium Digest (Cat. No.02CH37278).

[10]  D. R. Larson,et al.  Pulse parameter uncertainty analysis , 2002 .

[11]  Danh V. Nguyen,et al.  Tumor classification by partial least squares using microarray gene expression data , 2002, Bioinform..

[12]  N. Ridler,et al.  Propagating S-parameter uncertainties to other measurement quantities , 2001, 58th ARFTG Conference Digest.

[13]  J.M. Morgan,et al.  Calibrating electro-optic sampling systems , 2001, 2001 IEEE MTT-S International Microwave Sympsoium Digest (Cat. No.01CH37157).

[14]  Paul D. Hale,et al.  Mismatch Corrections for Electro-Optic Sampling Systems , 2000, 56th ARFTG Conference Digest.

[15]  Nick M. Ridler,et al.  Evaluating and expressing uncertainty in complex S-parameter measurements , 2000, 56th ARFTG Conference Digest.

[16]  Jan Verspecht,et al.  Analysis of Interconnection Networks and Mismatch in the Nose-to-Nose Calibration , 2000, 55th ARFTG Conference Digest.

[17]  Tamás Dabóczi,et al.  Uncertainty of signal reconstruction in the case of jittery and noisy measurements , 1998, IEEE Trans. Instrum. Meas..

[18]  Jerome J. Blair,et al.  Error estimates for frequency responses calculated from time-domain measurements , 1998, IEEE Trans. Instrum. Meas..

[19]  Brian Wigdorowitz,et al.  Mapping frequency response bounds to the time domain , 1996 .

[20]  T. M. Souders,et al.  Bounds on frequency response estimates derived from uncertain step response data , 1995, Proceedings of 1995 IEEE Instrumentation and Measurement Technology Conference - IMTC '95.

[21]  J. Edmunds,et al.  Mapping circular bounds on frequency responses to bounds on time responses , 1994 .

[22]  J. Verspecht,et al.  Individual characterization of broadband sampling oscilloscopes with a 'nose-to-nose' calibration procedure , 1993, 1993 IEEE Instrumentation and Measurement Technology Conference.

[23]  Dylan F. Williams,et al.  A General Waveguide Circuit Theory , 1992, Journal of research of the National Institute of Standards and Technology.

[24]  A. G. Roddie,et al.  Recent developments in the calibration of fast sampling oscilloscopes , 1992 .

[25]  Roger B. Marks,et al.  Comparison of On-Wafer Calibrations , 1991, 38th ARFTG Conference Digest.

[26]  J. Edward Jackson,et al.  A User's Guide to Principal Components. , 1991 .

[27]  R. Preisendorfer,et al.  Principal Component Analysis in Meteorology and Oceanography , 1988 .

[28]  Franklin A. Graybill,et al.  Theory and Application of the Linear Model , 1976 .

[29]  K. Howell,et al.  DC TO 110 GHZ MEASUREMENTS IN COAX USING THE 1 MM CONNECTOR , 1999 .

[30]  Brian Wigdorowitz,et al.  Improved method of determining time-domain transient performance bounds from frequency response uncertainty regions , 1997 .

[31]  Brian Wigdorowitz,et al.  On the determination of time-domain signal levels at the specification stage in quantitative feedback theory controller synthesis , 1997 .

[32]  E. Iso.  Guide to the Expression of Uncertainty in Measurement , 1993 .

[33]  W. Mendenhall,et al.  Statistics for engineering and the sciences , 1984 .

[34]  R. W. Beatty,et al.  Basic Theory of Waveguide Junctions and Introductory Microwave Network Analysis , 1967 .