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Frequency Domain Analysis of Signals with Stochastic Sampling Times
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2007 (English)Report (Other academic)
Abstract [en]

In nonuniform sampling (NUS), signal amplitudes and time stamps are delivered in pairs. Several methods to compute an approximate Fourier transform (AFT) have appeared in literature, and their posterior properties in terms of alias suppression and leakage have been addressed. In this paper, the sampling times are assumed to be generated by a stochastic process. The main result gives the prior distribution of several AFTs expressed in terms of the true Fourier transform and variants of the characteristic function of the sampling time distribution. The result extends leakage and alias suppression with bias and variance terms due to NUS. Specific sampling processes as described in literature are analyzed in detail. The results are illustrated on simulated signals, with particular focus to the implications for spectral estimation.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2007. , 25 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2772
Keyword [en]
Fourier transforms, Frequency-domain analysis, Signal sampling, Stochastic processes, Alias suppression, Approximate Fourier transform, Frequency domain signal analysis, Nonuniform stochastic sampling time distribution
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55821ISRN: LiTH-ISY-R-2772OAI: oai:DiVA.org:liu-55821DiVA: diva2:316508
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-07-30Bibliographically approved

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Eng, FridaGustafsson, FredrikGunnarsson, Fredrik

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CiteExportLink to record
Permanent link

Direct link
Cite
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