Multi-frequency approach to vector-network-analyzer scattering-parameter measurements

We present a multi-frequency approach to vector-network-analyzer scattering-parameter measurements. This novel approach accounts for the relationships between the measurements at different frequencies, and thus breaks with the traditional paradigm for vector-network-analyzer scattering-parameter measurements, in which the measurements are carried out independently at each frequency. We review the theoretical foundations of the multi-frequency approach, and show that it leads to a significant reduction of the measurement uncertainty and to its more complete description.

[1]  R. Marks.  A multiline method of network analyzer calibration , 1991 .

[2]  A. Lewandowski,et al.  Characterization and modeling of random vector network analyzer measurement errors , 2008, MIKON 2008 - 17th International Conference on Microwaves, Radar and Wireless Communications.

[3]  A. Lewandowski,et al.  Multiple Reflect Technique for Wideband One-Port VNA Calibration , 2006, 2006 International Conference on Microwaves, Radar & Wireless Communications.

[4]  Yves Rolain,et al.  An improved sliding-load calibration procedure using a semiparametric circle-fitting procedure , 1997 .

[5]  Arkadiusz Lewandowski,et al.  Stochastic modeling of coaxial-connector repeatability errors , 2009, 2009 74th ARFTG Microwave Measurement Conference.

[6]  Rik Pintelon,et al.  System Identification: A Frequency Domain Approach , 2012 .

[7]  Yonathan Bard,et al.  Nonlinear parameter estimation , 1974 .

[8]  H. Van Hamme,et al.  Flexible vector network analyzer calibration with accuracy bounds using an 8-term or a 16-term error correction model , 1994 .

[9]  I. Miller.  Probability, Random Variables, and Stochastic Processes , 1966 .

[10]  Arkadiusz Lewandowski,et al.  Correction for line length errors and center-conductor-gap variation in the coaxial multiline through-reflect-line calibration , 2009, 2009 74th ARFTG Microwave Measurement Conference.

[11]  Calyampudi R. Rao,et al.  Generalized inverse of a matrix and its applications , 1972 .

[12]  William J. Wilson,et al.  Multivariate Statistical Methods , 2005, Technometrics.

[13]  Wojciech Wiatr.  A broadband technique for one-port VNA calibration and characterization of low-loss two-ports , 1998, 1998 Conference on Precision Electromagnetic Measurements Digest (Cat. No.98CH36254).

[14]  Andrea Bobbio,et al.  Monitoring the calibration status of a measuring instrument by a stochastic model , 1997 .

[15]  B.E. Stuckman,et al.  Stochastic modeling of calibration drift in electrical meters , 1991, [1991] Conference Record. IEEE Instrumentation and Measurement Technology Conference.

[16]  D. Marquardt.  An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

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

[18]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[19]  T. Brubaker,et al.  Nonlinear Parameter Estimation , 1979 .

[20]  Dylan F. Williams,et al.  Covariance-Based Vector-Network-Analyzer Uncertainty Analysis for Time- and Frequency-Domain Measurements , 2010, IEEE Transactions on Microwave Theory and Techniques.