Combined sequence of Markov parameters and moments in linear systems

The combined sequence of Markov parameters and moments in linear systems is discussed. This sequence is shown to be generated by a linear feedback shift register. Application to the minimal degree partial realization from a mixture of any number of Markov parameters and moments is considered. Central in this particular realization problem is the extension of a Toeplitz partial behavior matrix. This is accomplished on the basis of the algebraic theory of Iohvidov indexes for Toeplitz matrices.<
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