Frequency domain subspace-based identification of discrete-time power spectra from uniformly spaced measurements |
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Authors: | Hü seyin Akç ay [Author vitae] |
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Affiliation: | aDepartment of Electrical and Electronics Engineering, Anadolu University, Eskisehir 26470, Turkey |
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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. |
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Keywords: | System identification Power spectrum Subspace methods Uniformly spaced frequencies Consistency |
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