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dc.contributor.authorDokuchaev, Nikolai
dc.identifier.citationDokuchaev, N. 2017. On exact and optimal recovering of missing values for sequences. Signal Processing. 135: pp. 81-86.

The paper studies recoverability of missing values for sequences in a pathwise setting without probabilistic assumptions. This setting is oriented on a situation where the underlying sequence is considered as a sole sequence rather than a member of an ensemble with known statistical properties. Sufficient conditions of recoverability are obtained; it is shown that sequences are recoverable if there is a certain degree of degeneracy of the Z-transforms. We found that, in some cases, this degree can be measured as the number of the derivatives of Z-transform vanishing at a point. For processes with non-degenerate Z-transform, an optimal recovering based on the projection on a set of recoverable sequences is suggested. Some robustness of the solution with respect to noise contamination and truncation is established.

dc.publisherElsevier BV
dc.titleOn exact and optimal recovering of missing values for sequences
dc.typeJournal Article
dcterms.source.titleSignal Processing
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusFulltext not available

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