System identification: theory for the user
System identification: theory for the user
Automatica (Journal of IFAC)
Model Reduction for Control System Design
Model Reduction for Control System Design
On the Duality between Filtering and Nevanlinna--Pick Interpolation
SIAM Journal on Control and Optimization
A new approach to spectral estimation: a tunable high-resolutionspectral estimator
IEEE Transactions on Signal Processing
Cepstral coefficients, covariance lags, and pole-zero models forfinite data strings
IEEE Transactions on Signal Processing
A covariance extension approach to identification of time series
Automatica (Journal of IFAC)
Kullback-Leibler approximation of spectral density functions
IEEE Transactions on Information Theory
Information Sciences: an International Journal
Hi-index | 22.16 |
This paper proposes a new spectral estimation technique based on rational covariance extension with degree constraint. The technique finds a rational spectral density function that approximates given spectral density data under constraint on a covariance sequence. Spectral density approximation problems are formulated as nonconvex optimization problems with respect to a Schur polynomial. To formulate the approximation problems, the least-squares sum is considered as a distance. Properties of optimization problems and numerical algorithms to solve them are explained. Numerical examples illustrate how the methods discussed in this paper are useful in stochastic model reduction and stochastic process modeling.