Geometrical relationship between serial signal's time and scanning time in the numerical implement of continuous wavelet transform

被引：0

作者：

Wan, XY ^{[1
]}

Nie, N ^{[1
]}

机构：

[1] Sichuan Univ, Coll Elect & Informat, Chengdu 610064, Sichuan, Peoples R China

来源：

Wavelet Analysis and Active Media Technology Vols 1-3 | 2005年

关键词：

best wavelet initialization sampling-scale; best wavelet scanning time; any order fractional calculus; binary pick sampling; numerical wavelet filter; time shift;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

One of the key discrete approach for the numerical implement of the continuous wavelet transform is to ascertain geometrical relationship between serial signal's time and scanning time, which is the requirement and basic for wavelet analytic engineering achievement and research in theory. This article disserts the basic theory for the numerical implement of the continuous wavelet transform. According to the highest numeric angle frequency of signal is at or below pi, in this two cases the article respectively deduces geometrical relationship between serial signal's time and scanning time. On this basis, the paper find out the best wavelet scanning time of wavelet transform. These useful conclusions solve a fundamental issue of wavelet analyses in engineering practice and research in theory.

引用

页码：1120 / 1124

页数：5

共 50 条

[21] Hilbert-Huang transform and wavelet analysis of time history signal
石春香
罗奇峰
Acta Seismologica Sinica(English Edition), 2003, (04) : 422 - 429
[22] Chaotic biomedical time signal analysis via wavelet scattering transform
Szczesna, Agnieszka
Augustyn, Dariusz Rafal
Josinski, Henryk
Harezlak, Katarzyna
Switonski, Adam
Kasprowski, Pawel
JOURNAL OF COMPUTATIONAL SCIENCE, 2023, 72
[23] Determination of discrete relaxation time spectrum by use of continuous wavelet transform
Cho, Kwang Soo
Kim, Jae Woo
Yeo, Hynseok
XVTH INTERNATIONAL CONGRESS ON RHEOLOGY - THE SOCIETY OF RHEOLOGY 80TH ANNUAL MEETING, PTS 1 AND 2, 2008, 1027 : 1465 - 1467
[24] The continuous wavelet transform and variable resolution time-frequency analysis
Najmi, AH
Sadowsky, J
JOHNS HOPKINS APL TECHNICAL DIGEST, 1997, 18 (01): : 134 - 140
[25] A discrete-time wavelet transform based on a continuous dilation framework
Zhao, W
Rao, RM
ICASSP '99: 1999 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, PROCEEDINGS VOLS I-VI, 1999, : 1201 - 1204
[26] Continuous time denoising system using an analog implementation of the wavelet transform
Navarro, Marco Antonio Gurrola
Flores-Verdad, Guillermo Espinosa
PROCEEDINGS OF THE 6TH INTERNATIONAL CARIBBEAN CONFERENCE ON DEVICES, CIRCUITS, AND SYSTEMS, 2006, : 121 - +
[27] Real-time continuous wavelet transform implementation on a DSP processor
Patil, S.
Abel, E.W.
Journal of Medical Engineering and Technology, 2009, 33 (03): : 223 - 231
[28] Heart Sound Abnormality Detection Using Short Time Fourier Transform and Continuous Wavelet Transform
Vikhe, P. S.
Nehe, N. S.
Thool, V. R.
2009 SECOND INTERNATIONAL CONFERENCE ON EMERGING TRENDS IN ENGINEERING AND TECHNOLOGY (ICETET 2009), 2009, : 448 - +
[29] Optimized discrete wavelet transform to real-time digital signal processing
Vlach, Jan
Rajmic, Pavel
Prinosil, Jiri
Vyoral, Josef
Mica, Ivan
PERSONAL WIRELESS COMMUNICATIONS, 2007, 245 : 514 - +
[30] An effective technique of wavelet transform for optical signal real-time processing
Xian, GM
Wang, ZY
2005 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS, VOLS 1 AND 2, PROCEEDINGS: VOL 1: COMMUNICATION THEORY AND SYSTEMS, 2005, : 653 - 657

← 1 2 3 4 5 →