On exact and optimal recovering of missing values for sequences
atmire.cua.enabled | Open access | |
dc.contributor.author | Dokuchaev, Nikolai | |
dc.date.accessioned | 2017-01-30T12:12:12Z | |
dc.date.available | 2017-01-30T12:12:12Z | |
dc.date.created | 2017-01-18T19:30:19Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Dokuchaev, N. 2017. On exact and optimal recovering of missing values for sequences. Signal Processing. 135: pp. 81-86. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/19145 | |
dc.identifier.doi | 10.1016/j.sigpro.2016.12.024 | |
dc.description.abstract |
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.publisher | Elsevier BV | |
dc.title | On exact and optimal recovering of missing values for sequences | |
dc.type | Journal Article | |
dcterms.source.volume | 135 | |
dcterms.source.startPage | 81 | |
dcterms.source.endPage | 86 | |
dcterms.source.issn | 0165-1684 | |
dcterms.source.title | Signal Processing | |
curtin.department | Department of Mathematics and Statistics | |
curtin.accessStatus | Open access |