A closed equation in time domain for band-limited extensions of one-sided sequences

Nikolai Dokuchaev

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arXiv · 1504.02298

A closed equation in time domain for band-limited extensions of one-sided sequences

Nikolai Dokuchaev

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Abstract

The paper suggests a method of optimal extension of one-sided semi-infinite sequences of a general type by traces of band-limited sequences in deterministic setting, i.e. without probabilistic assumptions. The method requires to solve a closed linear equation in the time domain connecting the past observations of the underlying process with the future values of the band-limited process. Robustness of the solution with respect to the input errors and data truncation is established in the framework of Tikhonov regularization.

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Nikolai Dokuchaev. 2015-04-09. A closed equation in time domain for band-limited extensions of one-sided sequences. https://arxiv.org/abs/1504.02298

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