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

Matt Sourisseau; Yu Guang Wang; Robert S. Womersley; Hau Tieng Wu; Wei Hsuan Yu

doi:10.1016/j.acha.2021.02.003

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

Matt Sourisseau, Yu Guang Wang, Robert S. Womersley, Hau Tieng Wu, Wei Hsuan Yu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	137-144
Number of pages	8
Journal	Applied and Computational Harmonic Analysis
Volume	54
DOIs	https://doi.org/10.1016/j.acha.2021.02.003
State	Published - Sep 2021

Keywords

ConceFT
Multitaper
Quasi-uniform spherical design
Synchrosqueezing transform
Time-frequency analysis

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.acha.2021.02.003

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title = "Improve concentration of frequency and time (ConceFT) by novel complex spherical designs",

abstract = "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.",

keywords = "ConceFT, Multitaper, Quasi-uniform spherical design, Synchrosqueezing transform, Time-frequency analysis",

author = "Matt Sourisseau and Wang, {Yu Guang} and Womersley, {Robert S.} and Wu, {Hau Tieng} and Yu, {Wei Hsuan}",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2021",

month = sep,

doi = "10.1016/j.acha.2021.02.003",

language = "English (US)",

volume = "54",

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journal = "Applied and Computational Harmonic Analysis",

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T1 - Improve concentration of frequency and time (ConceFT) by novel complex spherical designs

AU - Sourisseau, Matt

AU - Wang, Yu Guang

AU - Womersley, Robert S.

AU - Wu, Hau Tieng

AU - Yu, Wei Hsuan

PY - 2021/9

Y1 - 2021/9

N2 - 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.

AB - 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.

KW - ConceFT

KW - Multitaper

KW - Quasi-uniform spherical design

KW - Synchrosqueezing transform

KW - Time-frequency analysis

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DO - 10.1016/j.acha.2021.02.003

M3 - Article

AN - SCOPUS:85103129815

SN - 1063-5203

VL - 54

SP - 137

EP - 144

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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