FRF Measurements Subject to Missing Data: Quantification of Noise, Nonlinear Distortion, and Time-Varying Effects

Quantifying the level of nonlinear distortions and time-varying effects in frequency response function measurements is a first step toward the selection of an appropriate parametric model structure. In this paper, we tackle this problem in the presence of missing data, which is an important issue in large-scale low-cost wireless sensor networks. The proposed method is based on one experiment with a special class of periodic excitation signals.

[1]  Lennart Ljung,et al.  Linear approximations of nonlinear FIR systems for separable input processes , 2005, Autom..

[2]  Rik Pintelon,et al.  Time-Variant Frequency Response Function Measurements on Weakly Nonlinear, Arbitrarily Time-Varying Systems Excited by Periodic Inputs , 2015, IEEE Transactions on Instrumentation and Measurement.

[3]  Jiann-Shiun Yuan,et al.  Adaptive Gate Bias for Power Amplifier Temperature Compensation , 2011, IEEE Transactions on Device and Materials Reliability.

[4]  Rik Pintelon,et al.  Non-parametric estimate of the system function of a time-varying system , 2012, Autom..

[5]  J. Fitzpatrick,et al.  Time-varying pulmonary arterial compliance. , 1991, Journal of applied physiology.

[6]  Billie F. Spencer,et al.  Smart sensing technology: opportunities and challenges , 2004 .

[7]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[8]  Gerd Vandersteen,et al.  Time-Variant Frequency Response Function Measurement in the Presence of Missing Data , 2017, IEEE Transactions on Instrumentation and Measurement.

[9]  A. Ralston A first course in numerical analysis , 1965 .

[10]  Rik Pintelon,et al.  Detecting a Time-Varying Behavior in Frequency Response Function Measurements , 2012, IEEE Transactions on Instrumentation and Measurement.

[11]  Gerd Vandersteen,et al.  Frequency Response Matrix Estimation From Partially Missing Data—for Periodic Inputs , 2015, IEEE Transactions on Instrumentation and Measurement.

[12]  Joseph Morlier,et al.  A new SSI algorithm for LPTV systems: Application to a hinged-bladed helicopter , 2014 .

[13]  Gerd Vandersteen,et al.  Frequency Response Function Estimation in the Presence of Missing Output Data , 2015, IEEE Transactions on Instrumentation and Measurement.

[14]  B Bigland-Ritchie,et al.  EMG/FORCE RELATIONS AND FATIGUE OF HUMAN VOLUNTARY CONTRACTIONS , 1981, Exercise and sport sciences reviews.

[15]  Wendy Van Moer,et al.  A Simple Nonparametric Preprocessing Technique to Correct for Nonstationary Effects in Measured Data , 2012, IEEE Transactions on Instrumentation and Measurement.

[16]  René Vidal,et al.  Identification of Hybrid Systems: A Tutorial , 2007, Eur. J. Control.

[17]  Gerd Vandersteen,et al.  Frequency Response Matrix Estimation From Missing Input–Output Data , 2015, IEEE Transactions on Instrumentation and Measurement.

[18]  Rik Pintelon,et al.  Nonparametric time-variant frequency response function estimates using arbitrary excitations , 2015, Autom..

[19]  Yves Rolain,et al.  Frequency Response Function Measurements Using Concatenated Subrecords With Arbitrary Length , 2012, IEEE Transactions on Instrumentation and Measurement.

[20]  Lotfi A. Zadeh,et al.  The Determination of the Impulsive Response of Variable Networks , 1950 .

[21]  Rik Pintelon,et al.  Continuous-Time Noise Modeling From Sampled Data , 2006, IEEE Transactions on Instrumentation and Measurement.

[22]  L. Zadeh,et al.  Frequency Analysis of Variable Networks , 1950, Proceedings of the IRE.

[23]  Rik Pintelon,et al.  Time-Variant Frequency Response Function Measurement of Multivariate Time-Variant Systems Operating in Feedback , 2017, IEEE Transactions on Instrumentation and Measurement.

[24]  Boualem Boashash,et al.  Time-Frequency Signal Analysis and Processing: A Comprehensive Reference , 2015 .

[25]  Boris I. Godoy,et al.  An EM-based identification algorithm for a class of hybrid systems with application to power electronics , 2014, Int. J. Control.

[26]  Anders Hansson,et al.  Maximum likelihood estimation of linear SISO models subject to missing output data and missing input data , 2014, Int. J. Control.

[27]  Rik Pintelon,et al.  Realization and identification of autonomous linear periodically time-varying systems , 2014, Autom..

[28]  Yongchao Yang,et al.  Harnessing data structure for recovery of randomly missing structural vibration responses time history: Sparse representation versus low-rank structure , 2016 .

[29]  Anders Hansson,et al.  Maximum likelihood estimation of Gaussian models with missing data - Eight equivalent formulations , 2012, Autom..