Estimation of nonparametric noise and FRF models for multivariable systems—Part I: Theory

[1]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[2]  Joe Brewer,et al.  Kronecker products and matrix calculus in system theory , 1978 .

[3]  J. Bendat Statistical errors in measurement of coherence functions and input/output quantities , 1978 .

[4]  F. Harris On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[5]  Julius S. Bendat,et al.  Engineering Applications of Correlation and Spectral Analysis , 1980 .

[6]  Gene H. Golub,et al.  Matrix computations , 1983 .

[7]  F. R. Gantmakher The Theory of Matrices , 1984 .

[8]  M. Kendall,et al.  Kendall's advanced theory of statistics , 1995 .

[9]  Steven Kay,et al.  Modern Spectral Estimation: Theory and Application , 1988 .

[10]  Huibert Kwakernaak,et al.  Modern signals and systems , 1991 .

[11]  Jianqing Fan,et al.  Data‐Driven Bandwidth Selection in Local Polynomial Fitting: Variable Bandwidth and Spatial Adaptation , 1995 .

[12]  L. Ljung,et al.  Subspace-based multivariable system identification from frequency response data , 1996, IEEE Trans. Autom. Control..

[13]  Gerd Vandersteen,et al.  Frequency-domain system identification using non-parametric noise models estimated from a small number of data sets , 1997, Autom..

[14]  Rik Pintelon,et al.  Identification of continuous-time systems using arbitrary signals , 1997, Autom..

[15]  J. Schoukens,et al.  Frequency domain system identification using arbitrary signals , 1997, IEEE Trans. Autom. Control..

[16]  Jitendra K. Tugnait Identification of multivariable stochastic linear systems via spectral analysis given time-domain data , 1998, IEEE Trans. Signal Process..

[17]  D. Kraus,et al.  Calculation of moments of complex Wishart and complex inverse Wishart distributed matrices , 2000 .

[18]  D. Brillinger Time series - data analysis and theory , 1981, Classics in applied mathematics.

[19]  Rik Pintelon Frequency-domain subspace system identification using non-parametric noise models , 2002, Autom..

[20]  Rik Pintelon,et al.  Measurement of multivariable frequency response functions in the presence of nonlinear distortions-some practical aspects , 2002, IEEE Trans. Instrum. Meas..

[21]  Yves Rolain,et al.  Probability density function for frequency response function measurements using periodic signals , 2003, IEEE Trans. Instrum. Meas..

[22]  Yves Rolain,et al.  Box-Jenkins alike identification using nonparametric noise models , 2004, Autom..

[23]  E. Parloo,et al.  Improved modal parameter estimation for lowly damped systems using non-parametric exponential windowing techniques , 2005 .

[24]  Johan Schoukens,et al.  Optimized Excitation Signals for MIMO Frequency Response Function Measurements , 2005, IEEE Transactions on Instrumentation and Measurement.

[25]  Yves Rolain,et al.  Leakage Reduction in Frequency-Response Function Measurements , 2006, IEEE Transactions on Instrumentation and Measurement.

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

[27]  Rik Pintelon,et al.  On Parameter Estimation Using Nonparametric Noise Models , 2006, IEEE Transactions on Automatic Control.

[28]  Yves Rolain,et al.  Analysis of windowing/leakage effects in frequency response function measurements , 2006, Autom..

[29]  Johan Schoukens,et al.  A comprehensive study of the bias and variance of frequency-response-function measurements: Optimal window selection and overlapping strategies , 2007, Autom..

[30]  Svante Gunnarsson,et al.  Estimation of Nonlinear Effects in Frequency Domain Identification of Industrial Robots , 2008, IEEE Transactions on Instrumentation and Measurement.

[31]  Johan Schoukens,et al.  Optimal Settings for Measuring Frequency Response Functions With Weighted Overlapped Segment Averaging , 2009, IEEE Transactions on Instrumentation and Measurement.

[32]  Rik Pintelon,et al.  Estimation of Nonparametric Noise Models for Linear Dynamic Systems , 2009, IEEE Transactions on Instrumentation and Measurement.

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