An algorithm is given to estimate the noise eovariance matrices for a linear, discrete, time-varying stochastic system. If these matrices are linear with respect to a set of aparameters, it is found that the correlation products of the innovations sequence is also linear in these parameters. The fac
Estimation of noise covariance matrices for periodic systems
✍ Scribed by Miroslav Šimandl; Jindřich Duník
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 137 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0890-6327
- DOI
- 10.1002/acs.1255
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✦ Synopsis
Estimation of the noise covariance matrices for linear time-variant stochastic dynamic periodic systems is treated. The novel offline method for estimation of the covariance matrices of the state and measurement noises is designed. The method is based on analysis of second-order statistics of the state estimate produced by the linear multi-step predictor. The estimates of the noise covariance matrices are unbiased and converge to the true values with increasing number of data. The theoretical results are illustrated in numerical examples.
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