A novel recursive Fourier transform for nonuniform sampled signals: application to heart rate variability spectrum estimation.

We present a novel method to iteratively calculate discrete Fourier transforms for discrete time signals with sample time intervals that may be widely nonuniform. The proposed recursive Fourier transform (RFT) does not require interpolation of the samples to uniform time intervals, and each iterativ...

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Publicado en:Medical & Biological Engineering & Computing Vol. 47; no. 7; pp. 697 - 708
Autores principales: Holland A, Aboy M, Holland, Alexander, Aboy, Mateo
Formato: Journal Article
Publicado: Springer Nature Jul2009
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Jul2009
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      pub: Springer Nature
      place: New York, New York
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        10.1007/s11517-009-0461-0
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        atl: A novel recursive Fourier transform for nonuniform sampled signals: application to heart rate variability spectrum estimation.
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          Holland A
          Aboy M
          Holland, Alexander
          Aboy, Mateo
        affil: Draeger Medical, Telford, PA, USA
      sug:
        subj:
          Heart Rate Variability
          Signal Processing, Computer Assisted
      ab: We present a novel method to iteratively calculate discrete Fourier transforms for discrete time signals with sample time intervals that may be widely nonuniform. The proposed recursive Fourier transform (RFT) does not require interpolation of the samples to uniform time intervals, and each iterative transform update of N frequencies has computational order N. Because of the inherent non-uniformity in the time between successive heart beats, an application particularly well suited for this transform is power spectral density (PSD) estimation for heart rate variability. We compare RFT based spectrum estimation with Lomb-Scargle Transform (LST) based estimation. PSD estimation based on the LST also does not require uniform time samples, but the LST has a computational order greater than Nlog(N). We conducted an assessment study involving the analysis of quasi-stationary signals with various levels of randomly missing heart beats. Our results indicate that the RFT leads to comparable estimation performance to the LST with significantly less computational overhead and complexity for applications requiring iterative spectrum estimations.
      pubtype: Academic Journal
      doctype: Journal Article
      ougenre: Article
    language: English
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