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Efficient Levinson and Schur-type algorithms for block near-to-Toeplitz systems of equations

Liavas Athanasios, Theodoridis, Spyros

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Περίληψη

In this paper new efficient Levinson- and Schur-type algorithms are derived for block near-to-Toeplitz systems of equations. In contrast to previously derived algorithms, the block near-to-Toeplitz property is exploited on a scalar level leading to Levinson- and Schur-type algorithms based on scalar instead of matrix operations. As a consequence, the highly parallel Schur-type algorithm can be implemented in a straightforward way on a linear array processor, consisting of scalar operators locally connected.

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