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Hilbert Transform: Mathematical Theory and Applications to Signal processing
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
2015 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Hilbert transformation : Matematisk teori och tillämpningar inom signalbehandling (Swedish)
Abstract [en]

The Hilbert transform is a widely used transform in signal processing. In this thesis we explore its use for three different applications: electrocardiography, the Hilbert-Huang transform and modulation. For electrocardiography, we examine how and why the Hilbert transform can be used for QRS complex detection. Also, what are the advantages and limitations of this method? The Hilbert-Huang transform is a very popular method for spectral analysis for nonlinear and/or nonstationary processes. We examine its connection with the Hilbert transform and show limitations of the method. Lastly, the connection between the Hilbert transform and single-sideband modulation is investigated.

Place, publisher, year, edition, pages
2015. , 78 p.
Series
LiTH-MAT-EX, 2015:09
Keyword [en]
Hilbert transform, Hilbert-Huang transform, Electrocardiography, Electrocardiogram, ECG, EKG, Nonstationary processes, Hilbert spectrum, Modulation, Single-sideband modulation, QRS complex, QRS, QRS detection, SSB
National Category
Mathematics Signal Processing
Identifiers
URN: urn:nbn:se:liu:diva-122736ISRN: LiTH-MAT-EX--2015/09--SEOAI: oai:DiVA.org:liu-122736DiVA: diva2:872439
Presentation
2015-11-09, Hopningspunkten, Linköpings universitet, Linköping, 10:15 (English)
Supervisors
Examiners
Available from: 2015-11-19 Created: 2015-11-18 Last updated: 2015-11-19Bibliographically approved

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Hilbert Transform: Mathematical Theory and Applications to Signal processing(1249 kB)16515 downloads
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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf