Quadratic Estimation of Multivariate Signals from Randomly Delayed Measurements*
Multidimensional Systems and Signal Processing
Hidden Markov model state estimation with randomly delayedobservations
IEEE Transactions on Signal Processing
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Recursive filtering and smoothing algorithms to estimate a signal from noisy measurements coming from multiple randomly delayed sensors, with different delay characteristics, are proposed. To design these algorithms an innovation approach is used, assuming that the state-space model of the signal is unknown and using only covariance information. To measure the precision of the proposed estimators formulas to calculate the filtering and smoothing error covariance matrices are also derived. The effectiveness of the estimators is illustrated by a numerical simulation example where a signal is estimated using observations from two randomly delayed sensors having different delay properties.