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