Robust Burg Estimation of stationary autoregressive mixtures covariance

نویسندگان

  • Alexis Decurninge
  • Frédéric Barbaresco
چکیده

Burg estimators are classically used for the estimation of the autocovariance of a stationary autoregressive process. We propose to consider scale mixtures of stationary autoregressive processes, a non-Gaussian extension of the latter. The traces of such processes are Spherically Invariant Random Vectors (SIRV) with a constraint on the scatter matrix due to the autoregressive model. We propose adaptations of the Burg estimators to the considered models and their associated robust versions based on geometrical considerations.

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تاریخ انتشار 2014