Discrete scaling based on operator theory
buir.contributor.author | Koç, Aykut | |
buir.contributor.author | Özaktaş, Haldun Memduh | |
dc.citation.epage | 11 | en_US |
dc.citation.spage | 1 | en_US |
dc.citation.volumeNumber | 108 | en_US |
dc.contributor.author | Koç, Aykut | |
dc.contributor.author | Bartan, B. | |
dc.contributor.author | Özaktaş, Haldun Memduh | |
dc.date.accessioned | 2022-02-28T11:16:58Z | |
dc.date.available | 2022-02-28T11:16:58Z | |
dc.date.issued | 2020-11-04 | |
dc.department | Department of Electrical and Electronics Engineering | en_US |
dc.department | National Magnetic Resonance Research Center (UMRAM) | en_US |
dc.description.abstract | Signal scaling is a fundamental operation of practical importance in which a signal is made wider or narrower along the coordinate direction(s). Scaling, also referred to as magnification or zooming, is complicated for signals of a discrete variable since it cannot be accomplished simply by moving the signal values to new coordinate points. Most practical approaches to discrete scaling involve interpolation. We propose a new approach based on hyperdifferential operator theory that does not involve conventional interpolation. This approach provides a self-consistent and pure definition of discrete scaling that is fully consistent with discrete Fourier transform theory. It can potentially be applied to other problems in signal theory and analysis such as transform designs. Apart from its theoretical elegance, it also provides a basis for numerical implementation. | en_US |
dc.description.provenance | Submitted by Esma Aytürk (esma.babayigit@bilkent.edu.tr) on 2022-02-28T11:16:58Z No. of bitstreams: 1 Discrete_scaling_based_on_operator_theory.pdf: 3028789 bytes, checksum: cb2f1ca725c2155994dbbb3f68f102fa (MD5) | en |
dc.description.provenance | Made available in DSpace on 2022-02-28T11:16:58Z (GMT). No. of bitstreams: 1 Discrete_scaling_based_on_operator_theory.pdf: 3028789 bytes, checksum: cb2f1ca725c2155994dbbb3f68f102fa (MD5) Previous issue date: 2020-11-04 | en |
dc.embargo.release | 2022-11-04 | |
dc.identifier.doi | 10.1016/j.dsp.2020.102904 | en_US |
dc.identifier.eissn | 1095-4333 | |
dc.identifier.issn | 1051-2004 | |
dc.identifier.uri | http://hdl.handle.net/11693/77620 | |
dc.language.iso | English | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.isversionof | https://doi.org/10.1016/j.dsp.2020.102904 | en_US |
dc.source.title | Digital Signal Processing | en_US |
dc.subject | Discrete scaling | en_US |
dc.subject | Scaling | en_US |
dc.subject | Interpolation | en_US |
dc.subject | Zooming | en_US |
dc.subject | Operator theory | en_US |
dc.subject | Hyperdifferential operators | en_US |
dc.title | Discrete scaling based on operator theory | en_US |
dc.type | Article | en_US |
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