ON CONVOLUTION FOR WAVELET TRANSFORM

被引：10

作者：

Pathak, R. S. ^{[1
]}

Pathak, Ashish ^{[1
]}

机构：

[1] Banaras Hindu Univ, Dept Math, Varanasi 221005, UP, India

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2008年 / 6卷 / 05期

关键词：

Wavelet transform; wavelet convolution;

D O I：

10.1142/S0219691308002628

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A basic function D(x, y, z) associated with the general wavelet transform is defined and its properties are investigated. Using D(x, y, z) associated with the wavelet transform, translation and convolution for this transform are defined and certain existence theorems are proved. An approximation theorem involving wavelet convolution is also proved.

引用

页码：739 / 747

页数：9

共 50 条

[21] A novel prediction approach using wavelet transform and grey multivariate convolution model
Sapnken, Flavian Emmanuel
Kibong, Marius Tony
Tamba, Jean Gaston
[J]. METHODSX, 2023, 11
[22] Heartbeat Classification Using Convolution Neural Network and Wavelet Transform to Extract Features
Qiu, Lishen
Li, Wanyue
Cai, Wenqiang
Zhang, Miao
Zhu, Wenliang
Wang, Lirong
[J]. 2018 IEEE SMARTWORLD, UBIQUITOUS INTELLIGENCE & COMPUTING, ADVANCED & TRUSTED COMPUTING, SCALABLE COMPUTING & COMMUNICATIONS, CLOUD & BIG DATA COMPUTING, INTERNET OF PEOPLE AND SMART CITY INNOVATION (SMARTWORLD/SCALCOM/UIC/ATC/CBDCOM/IOP/SCI), 2018, : 139 - 143
[23] Implementation of Wavelet Transform Extrasystole Heart Sound With Convolution Method for Feature Extraction
Coskun, Huseyin
Deperlioglu, Omer
Yigit, Tuncay
[J]. 2017 25TH SIGNAL PROCESSING AND COMMUNICATIONS APPLICATIONS CONFERENCE (SIU), 2017,
[24] Interference Response Prediction of Receiver Based on Wavelet Transform and a Temporal Convolution Network
Zhang, Lingyun
Tan, Hui
Wang, Zhili
Martins, Ricardo
[J]. ELECTRONICS, 2024, 13 (01)
[25] Convolution algorithm for implementing 2D Discrete Wavelet Transform on the FPGA
Slimani, I.
Zaarane, A.
Hamdoun, A.
[J]. 2016 IEEE/ACS 13TH INTERNATIONAL CONFERENCE OF COMPUTER SYSTEMS AND APPLICATIONS (AICCSA), 2016,
[26] Inspection for roll eccentricity signal based on convolution type of wavelet packet transform
Zhu Qibing
Huang Min
Cui Baotong
[J]. PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 6, 2007, : 422 - +
[27] THE CONVOLUTION TRANSFORM
WIDDER, DV
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 60 (05) : 444 - 456
[28] Wavelet transform for Shah convolution velocity measurements of single particles and solutes in a microfluidic chip
Eijkel, JCT
Kwok, YC
Manz, A
[J]. LAB ON A CHIP, 2001, 1 (02): : 122 - 126
[29] Fast Gabor Wavelet Transform Based on Synthesis of Gabor Spectrum using Convolution of Gaussian
Ishikawa, Takanobu
Takayama, Ryosuke
Arai, Shuichi
[J]. 2015 INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA), 2015, : 327 - 331
[30] FAULT DIAGNOSIS BASED ON OPTIMIZED WAVELET PACKET TRANSFORM AND TIME DOMAIN CONVOLUTION NETWORK
Cao, Dengxue
Gu, Yu
Lin, Wei
[J]. TRANSACTIONS OF FAMENA, 2023, 47 (03) : 1 - 14

← 1 2 3 4 5 →