Discrete Lissajous Figures and Applications
| dc.contributor.author | Karacor, Deniz | |
| dc.contributor.author | Nazlibilek, Sedat | |
| dc.contributor.author | Sazli, Murat H. | |
| dc.contributor.author | Akarsu, Eyup S. | |
| dc.contributor.other | Department of Mechatronics Engineering | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:26:49Z | |
| dc.date.available | 2024-07-05T14:26:49Z | |
| dc.date.issued | 2014 | |
| dc.description | Karacor, Deniz/0000-0001-6961-8966; Sazli, Murat/0000-0001-9235-3679; | en_US |
| dc.description.abstract | In this paper, an innovative method based on an algorithm utilizing discrete convolutions of discrete-time functions is developed to obtain and represent discrete Lissajous and recton functions. They are actually discrete auto- and cross-correlation functions. The theory of discrete Lissajous figures is developed. The concept of rectons is introduced. The relation between the discrete Lissajous figures and autocorrelation functions is set. Some applications are described including phase, frequency, and period determination of periodic signals, time-domain characteristics (such as damping ratio) of a control system, and abnormality and spike detection within a signal, are described. In addition, an electrocardiogram signal with an abnormality of atrial fibrillation is given for abnormality detection by means of recton functions. An epileptic activity detection within an electroencephalography signal is also given. | en_US |
| dc.description.sponsorship | Ankara University Scientific Research Project Foundation [12B4343003] | en_US |
| dc.description.sponsorship | This work was supported by the Ankara University Scientific Research Project Foundation under Project 12B4343003. The Associate Editor coordinating the review process was Dr. Kurt Barbe. | en_US |
| dc.identifier.doi | 10.1109/TIM.2014.2318891 | |
| dc.identifier.issn | 0018-9456 | |
| dc.identifier.issn | 1557-9662 | |
| dc.identifier.scopus | 2-s2.0-84909588034 | |
| dc.identifier.uri | https://doi.org/10.1109/TIM.2014.2318891 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/179 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ieee-inst Electrical Electronics Engineers inc | en_US |
| dc.relation.ispartof | IEEE Transactions on Instrumentation and Measurement | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Correlation | en_US |
| dc.subject | discrete-time systems | en_US |
| dc.subject | electrocardiography | en_US |
| dc.subject | electroencephalography (EEG) | en_US |
| dc.subject | signal processing | en_US |
| dc.subject | signal representations | en_US |
| dc.title | Discrete Lissajous Figures and Applications | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Karacor, Deniz/0000-0001-6961-8966 | |
| gdc.author.id | Sazli, Murat/0000-0001-9235-3679 | |
| gdc.author.institutional | Nazlıbilek, Sedat | |
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| gdc.author.wosid | Karacor, Deniz/AAH-3088-2020 | |
| gdc.author.wosid | Karacor, Deniz/IAO-9194-2023 | |
| gdc.author.wosid | Sazli, Murat/AAH-6663-2020 | |
| gdc.author.wosid | Akarsu, Eyup/B-1075-2008 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Karacor, Deniz; Sazli, Murat H.] Ankara Univ, Fac Engn, TR-06830 Ankara, Turkey; [Nazlibilek, Sedat] Atilim Univ, Fac Engn, TR-06836 Ankara, Turkey; [Akarsu, Eyup S.] Ankara Univ, Fac Med, TR-06100 Ankara, Turkey | en_US |
| gdc.description.endpage | 2972 | en_US |
| gdc.description.issue | 12 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 2963 | en_US |
| gdc.description.volume | 63 | en_US |
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