Discrete scaling based on operator theory

Simple item page
buir.contributor.authorKoç, Aykut
buir.contributor.authorÖzaktaş, Haldun Memduh
dc.citation.epage11en_US
dc.citation.spage1en_US
dc.citation.volumeNumber108en_US
dc.contributor.authorKoç, Aykut
dc.contributor.authorBartan, B.
dc.contributor.authorÖzaktaş, Haldun Memduh
dc.date.accessioned2022-02-28T11:16:58Z
dc.date.available2022-02-28T11:16:58Z
dc.date.issued2020-11-04
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.departmentNational Magnetic Resonance Research Center (UMRAM)en_US
dc.description.abstractSignal 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.embargo.release2022-11-04
dc.identifier.doi10.1016/j.dsp.2020.102904en_US
dc.identifier.eissn1095-4333
dc.identifier.issn1051-2004
dc.identifier.urihttp://hdl.handle.net/11693/77620
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://doi.org/10.1016/j.dsp.2020.102904en_US
dc.source.titleDigital Signal Processingen_US
dc.subjectDiscrete scalingen_US
dc.subjectScalingen_US
dc.subjectInterpolationen_US
dc.subjectZoomingen_US
dc.subjectOperator theoryen_US
dc.subjectHyperdifferential operatorsen_US
dc.titleDiscrete scaling based on operator theoryen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Discrete_scaling_based_on_operator_theory.pdf
Size:
2.89 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.69 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Department of Electrical and Electronics Engineering
National Magnetic Resonance Research Center (UMRAM)