Implementation of the continuous wavelet transform for digital time series analysis

被引：66

作者：

Jordan, D ^{[1
]}

Miksad, RW ^{[1
]}

Powers, EJ ^{[1
]}

机构：

[1] UNIV TEXAS,DEPT ELECT & COMP ENGN,AUSTIN,TX 78712

来源：

REVIEW OF SCIENTIFIC INSTRUMENTS | 1997年 / 68卷 / 03期

关键词：

D O I：

10.1063/1.1147636

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

The wavelet transform has emerged as an important tool for the analysis of intermittent and nonstationary signals. This article addresses implementation issues of a digital continuous wavelet transform that is sufficiently general that any continuous wavelet can be used. Working equations are derived for wavelet sampling, aliasing, and scale population by using the band-pass filter interpretation of wavelet functions. The implementation procedure is applied to the Morlet wavelet in detail as an example. Finally, the Morlet wavelet is applied to velocity fluctuations measured in a subsonic wake undergoing transition to turbulence. (C) 1997 American Institute of Physics.

引用

页码：1484 / 1494

页数：11

共 50 条

[41] Movement Analysis and Decomposition with the Continuous Wavelet Transform
Francoise, Jules
Meseguer-brocal, Gabriel
Bevilacqua, Frederic
PROCEEDINGS OF 2022 8TH INTERNATIONAL CONFERENCE ON MOVEMENT AND COMPUTING, MOCO 2022, 2022,
[42] Continuous Wavelet Transform for oriented texture analysis
Zegadi, N
Peyrin, F
Goutte, R
WAVELET APPLICATIONS IN SIGNAL AND IMAGE PROCESSING V, 1997, 3169 : 495 - 504
[43] Clifford analysis and the continuous spherical wavelet transform
Cerejeiras, Paula
Ferreira, Milton
Kahler, Uwe
WAVELET ANALYSIS AND APPLICATIONS, 2007, : 173 - +
[44] On applying continuous wavelet transform in wheeze analysis
Taplidou, SA
Hadjileontiadis, LJ
Kitsas, IK
Panoulas, KI
Penzel, T
Gross, V
Panas, SM
PROCEEDINGS OF THE 26TH ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY, VOLS 1-7, 2004, 26 : 3832 - 3835
[45] A Study of Stationarity in Time Series by Using Wavelet Transform
Dghais, Amel Abdoullah Ahmed
Ismail, Mohd Tahir
PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 798 - 804
[46] The preprocess of time series data based on wavelet transform
Liu, Binsheng
Hu, Xueping
2007 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATION, VOLS I-V, CONFERENCE PROCEEDINGS, 2007, : 288 - +
[47] The Haar wavelet transform in the time series similarity paradigm
Struzik, ZR
Siebes, A
PRINCIPLES OF DATA MINING AND KNOWLEDGE DISCOVERY, 1999, 1704 : 12 - 22
[48] A wavelet analysis for time series
Chiann, C
Morettin, PA
JOURNAL OF NONPARAMETRIC STATISTICS, 1999, 10 (01) : 1 - 46
[49] SPECIAL SECTION ON WAVELET TRANSFORMS - OPTICAL VERSUS DIGITAL IMPLEMENTATION OF THE WAVELET TRANSFORM - COMMENT
DUELL, KA
OPTICAL ENGINEERING, 1994, 33 (01) : 307 - 308
[50] Forecasting with information extracted from the residuals of ARIMA in financial time series using continuous wavelet transform
Lee H.Y.
Beh W.L.
Lem K.H.
International Journal of Business Intelligence and Data Mining, 2022, 22 (1-2) : 70 - 99

← 1 2 3 4 5 →