IMPROVING THE ACCURACY OF THE JACOBSEN ALGORITHM TO CORRECTLY ESTIMATE THE FREQUENCY OF SHORT SIGNALS.
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| Title: | IMPROVING THE ACCURACY OF THE JACOBSEN ALGORITHM TO CORRECTLY ESTIMATE THE FREQUENCY OF SHORT SIGNALS. |
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| Authors: | Burtea, Daniela Giorgiana1, Minda, ndrea Amalia1, Gillich, Nicoleta1, Tufisi, Cristian1, Gillich, Gilbert-Rainer1 |
| Source: | Annals of 'Constantin Brancusi' University of Targu-Jiu. Engineering Series / Analele Universităţii Constantin Brâncuşi din Târgu-Jiu. Seria Inginerie. 2022, Issue 1, p24-29. 6p. |
| Subjects: | Discrete Fourier transforms, Algorithms, Error correction (Information theory), Interpolation |
| Abstract: | The frequency estimation made using standard techniques such as the Discrete Fourier Transform (DFT) does not lead to accurate results, especially for short signals. To overcome this problem, numerous interpolation methods are proposed, the simplest being the so-called interpolation methods. Among these interpolation methods, Jacobsen proposes the most reliable. However, the results obtained when applying the Jacobsen algorithm overestimate the frequencies. In this paper, we propose a technique to improve the algorithm proposed by Jacobsen. The improvement is made by withdrawing the systematic errors that occurred when using the fractional correction coefficient proposed by Jacobsen. We demonstrated with numerical examples the improvement achieved by applying the proposed correction technique. [ABSTRACT FROM AUTHOR] |
| Copyright of Annals of 'Constantin Brancusi' University of Targu-Jiu. Engineering Series / Analele Universităţii Constantin Brâncuşi din Târgu-Jiu. Seria Inginerie is the property of Universitatea Constantin Brancusi din Targu-Jiu and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 158621452 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: IMPROVING THE ACCURACY OF THE JACOBSEN ALGORITHM TO CORRECTLY ESTIMATE THE FREQUENCY OF SHORT SIGNALS. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Burtea%2C+Daniela+Giorgiana%22">Burtea, Daniela Giorgiana</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Minda%2C+ndrea+Amalia%22">Minda, ndrea Amalia</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Gillich%2C+Nicoleta%22">Gillich, Nicoleta</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Tufisi%2C+Cristian%22">Tufisi, Cristian</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Gillich%2C+Gilbert-Rainer%22">Gillich, Gilbert-Rainer</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Annals+of+'Constantin+Brancusi'+University+of+Targu-Jiu%2E+Engineering+Series+%2F+Analele+Universităţii+Constantin+Brâncuşi+din+Târgu-Jiu%2E+Seria+Inginerie%22">Annals of 'Constantin Brancusi' University of Targu-Jiu. Engineering Series / Analele Universităţii Constantin Brâncuşi din Târgu-Jiu. Seria Inginerie</searchLink>. 2022, Issue 1, p24-29. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Discrete+Fourier+transforms%22">Discrete Fourier transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Error+correction+%28Information+theory%29%22">Error correction (Information theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Interpolation%22">Interpolation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The frequency estimation made using standard techniques such as the Discrete Fourier Transform (DFT) does not lead to accurate results, especially for short signals. To overcome this problem, numerous interpolation methods are proposed, the simplest being the so-called interpolation methods. Among these interpolation methods, Jacobsen proposes the most reliable. However, the results obtained when applying the Jacobsen algorithm overestimate the frequencies. In this paper, we propose a technique to improve the algorithm proposed by Jacobsen. The improvement is made by withdrawing the systematic errors that occurred when using the fractional correction coefficient proposed by Jacobsen. We demonstrated with numerical examples the improvement achieved by applying the proposed correction technique. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Annals of 'Constantin Brancusi' University of Targu-Jiu. Engineering Series / Analele Universităţii Constantin Brâncuşi din Târgu-Jiu. Seria Inginerie is the property of Universitatea Constantin Brancusi din Targu-Jiu and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 24 Subjects: – SubjectFull: Discrete Fourier transforms Type: general – SubjectFull: Algorithms Type: general – SubjectFull: Error correction (Information theory) Type: general – SubjectFull: Interpolation Type: general Titles: – TitleFull: IMPROVING THE ACCURACY OF THE JACOBSEN ALGORITHM TO CORRECTLY ESTIMATE THE FREQUENCY OF SHORT SIGNALS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Burtea, Daniela Giorgiana – PersonEntity: Name: NameFull: Minda, ndrea Amalia – PersonEntity: Name: NameFull: Gillich, Nicoleta – PersonEntity: Name: NameFull: Tufisi, Cristian – PersonEntity: Name: NameFull: Gillich, Gilbert-Rainer IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: 2022 Type: published Y: 2022 Identifiers: – Type: issn-print Value: 18424856 Numbering: – Type: issue Value: 1 Titles: – TitleFull: Annals of 'Constantin Brancusi' University of Targu-Jiu. Engineering Series / Analele Universităţii Constantin Brâncuşi din Târgu-Jiu. Seria Inginerie Type: main |
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