Brief paper: Frequency domain subspace-based identification of discrete-time power spectra from uniformly spaced measurements

Authors:
Hüseyin Akçay
Affiliations:
-
Venue:
Automatica (Journal of IFAC)
Year:
2011

Citing 4
Cited 2

A subspace algorithm for the identification of discrete time frequency domain power spectra

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Subspace-based rational interpolation of analytic functions from phase data

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Frequency domain subspace-based identification of discrete-time power spectra from nonuniformly spaced measurements

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Robust spectral factor approximation of discrete-time frequency domain power spectras

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Frequency domain subspace-based identification of discrete-time singular power spectra

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Subspace-based spectrum estimation in frequency-domain by regularized nuclear norm minimization

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Abstract

In this paper, we revisit the problem of identifying multi-input/multi-output linear-time-invariant discrete-time systems from measured power spectrum data on uniform grids of frequencies studied by Van Overschee, De Moor, Dehandschutter, and Swevers (1997). We show that the algorithm proposed by these authors is not consistent. Then, we propose an interpolatory identification algorithm which is strongly consistent when the corruptions in the spectrum measurements have a bounded covariance function. The performance of the proposed algorithm is demonstrated in a simulation example.