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Spectral analysis and analytic interpolation

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1 Author(s)
Georgiou, T.T. ; Dept. of Electr. & Comput. Eng., Minnesota Univ., Minneapolis, MN, USA

Consider a stationary stochastic input driving a known linear filter and assume knowledge of the resulting covariance of the state vector. We are interested in characterizing all input spectra which are consistent with the given state-covariance. We first identify the dependance of the state covariance on the filter equations and then characterize all admissible input power spectra via solutions to a related analytic interpolation problem

Published in:
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on  (Volume:5 )

Date of Conference: 2001

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