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Improve concentration of frequency and time (ConceFT) by novel complex spherical designs

Publication ,  Journal Article
Sourisseau, M; Wang, YG; Womersley, RS; Wu, HT; Yu, WH
Published in: Applied and Computational Harmonic Analysis
September 1, 2021

Concentration of frequency and time (ConceFT) is a generalized multitaper algorithm introduced to analyze complicated non-stationary time series. To avoid the randomness in the original ConceFT algorithm, we apply the novel complex spherical design technique to standardize ConceFT, which we coin CQU-ConceFT. The proposed CQU-ConceFT is applied to visualize the spindle structure in the electroencephalogram signal during the N2 sleep stage and other physiological time series.

Duke Scholars

Published In

Applied and Computational Harmonic Analysis

DOI

EISSN

1096-603X

ISSN

1063-5203

Publication Date

September 1, 2021

Volume

54

Start / End Page

137 / 144

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

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ICMJE
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Sourisseau, M., Wang, Y. G., Womersley, R. S., Wu, H. T., & Yu, W. H. (2021). Improve concentration of frequency and time (ConceFT) by novel complex spherical designs. Applied and Computational Harmonic Analysis, 54, 137–144. https://doi.org/10.1016/j.acha.2021.02.003
Sourisseau, M., Y. G. Wang, R. S. Womersley, H. T. Wu, and W. H. Yu. “Improve concentration of frequency and time (ConceFT) by novel complex spherical designs.” Applied and Computational Harmonic Analysis 54 (September 1, 2021): 137–44. https://doi.org/10.1016/j.acha.2021.02.003.
Sourisseau M, Wang YG, Womersley RS, Wu HT, Yu WH. Improve concentration of frequency and time (ConceFT) by novel complex spherical designs. Applied and Computational Harmonic Analysis. 2021 Sep 1;54:137–44.
Sourisseau, M., et al. “Improve concentration of frequency and time (ConceFT) by novel complex spherical designs.” Applied and Computational Harmonic Analysis, vol. 54, Sept. 2021, pp. 137–44. Scopus, doi:10.1016/j.acha.2021.02.003.
Sourisseau M, Wang YG, Womersley RS, Wu HT, Yu WH. Improve concentration of frequency and time (ConceFT) by novel complex spherical designs. Applied and Computational Harmonic Analysis. 2021 Sep 1;54:137–144.
Journal cover image

Published In

Applied and Computational Harmonic Analysis

DOI

EISSN

1096-603X

ISSN

1063-5203

Publication Date

September 1, 2021

Volume

54

Start / End Page

137 / 144

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics