Recursive eigendecomposition via autoregressive analysis & ago-antagonistic regularization

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作者
Barbaresco, F
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O42 [声学];
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070206 ; 082403 ;
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A new recursive eigendecomposition algorithm of Complex Hermitian Toeplitz matrices is studied. Based on Trench's inversion of Toeplitz matrices from their autoregressive analysis, we have developed a fast recursive iterative algorithm that takes into account the rank-one modification of successive order Toeplitz matrices. To speed up the computational time and to increase numerical stability of ill-conditioned eigendecomposition in case of very short data records analysis, we have extended this method by introducing an ago-antagonistic regularized reflection coefficient via Levinson equation. We provide a geometrical interpretation of this new recursive eigendecomposition.
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页码:3969 / 3972
页数:4
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