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Standardized sine-wave fitting algorithms, extensions and applications
KTH, Superseded Departments, Signals, Sensors and Systems.
KTH, Superseded Departments, Signals, Sensors and Systems.ORCID iD: 0000-0002-2718-0262
2003 (English)In: Northern Light Workshop on Sensors, Signals and Systems, Björkliden, Sverige, April 7-9, 2003, 2003Conference paper, Published paper (Refereed)
Abstract [en]

The objective of this paper is to present the statistical properties of the IEEE-STD-1057/IEEE-STD-1241 sine-wave fitting algorithms. The proper Cramér-Rao bound is derived for both the three-parameter and four-parameter algorithms. Further, we investigate the residual, and derive its statistical properties, in both the three- and four-parameter fitting case. In a practical setup were the frequency is almost known, we derive an analytical expression for the mean of the residual. By analysis we compare the two methods and state in which case one should use one over the other. Finally, we present some numerical evaluations confirming our analytical findings.

Place, publisher, year, edition, pages
2003.
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-44267OAI: oai:DiVA.org:kth-44267DiVA: diva2:450607
Note
Accepted paper, Conference cancelled. QC 20111026Available from: 2011-10-26 Created: 2011-10-20 Last updated: 2011-11-21Bibliographically approved

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Händel, Peter

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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