The Improvement of the Discrete Wavelet Transform

被引：3
|
作者：
Zhang, Zhihua [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 08期
基金：
欧盟地平线“2020”;
关键词：
discrete wavelet transform; boundary effects; biorthonomal periodic wavelet; fast algorithm; DECOMPOSITION;
D O I：
10.3390/math11081770
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Discrete wavelet transforms are widely used in signal processing, data compression and spectral analysis. For discrete data with finite sizes, one always pads the data with zeros or extends the data into periodic data before performing the discrete periodic wavelet transform. Due to discontinuity on the boundaries of the original data, the obtained wavelet coefficients always decay slowly, leading to data compression ratios that are significantly lower. In order to solve this issue, in this study, we coupled polynomial fitting into classic discrete periodic wavelet transforms to mitigate these boundary effects.
引用
收藏
页数：12
相关论文
共 50 条
  • [41] A Method for Secure Communication Using a Discrete Wavelet Transform for Audio Data and Improvement of Speaker Authentication
    Nishimura, Kouhei
    Yoshitomi, Yasunari
    Asada, Taro
    Tabuse, Masayoshi
    JOURNAL OF ROBOTICS NETWORKING AND ARTIFICIAL LIFE, 2018, 5 (02): : 93 - 96
  • [42] Hybrid discrete cosine transform-discrete wavelet transform for progressive image compression
    Boukaache, Abdennour
    Doghmane, Noureddine
    JOURNAL OF ELECTRONIC IMAGING, 2012, 21 (01)
  • [43] Automated surface texture analysis via Discrete Cosine Transform and Discrete Wavelet Transform
    Yesilli, Melih C.
    Chen, Jisheng
    Khasawneh, Firas A.
    Guo, Yang
    PRECISION ENGINEERING-JOURNAL OF THE INTERNATIONAL SOCIETIES FOR PRECISION ENGINEERING AND NANOTECHNOLOGY, 2022, 77 : 141 - 152
  • [44] A Method for Secure Communication Using a Discrete Wavelet Transform for Audio Data and Improvement of Speaker Authentication
    Nishimura, Kouhei
    Yoshitomi, Yasunari
    Asada, Taro
    Tabuse, Masayoshi
    ICAROB 2017: PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON ARTIFICIAL LIFE AND ROBOTICS, 2017, : P108 - P111
  • [45] An improvement on discrete wavelet transform-based algorithm for vehicle classification in Wireless Sensor Networks
    Shen, Xiao
    Wan, Sheng Cong
    Huo, Hong
    Fang, Tao
    ICIEA 2006: 1ST IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS, VOLS 1-3, PROCEEDINGS, 2006, : 1527 - 1530
  • [46] Secured Digital Image Watermarking with Discrete Cosine Transform and Discrete Wavelet Transform method
    Sheth, Ravi K.
    Nath, V. V.
    2016 INTERNATIONAL CONFERENCE ON ADVANCES IN COMPUTING, COMMUNICATION AND AUTOMATION (ICACCA 2016), 2016, : 59 - 63
  • [47] New parallel algorithm of discrete wavelet transform
    Zhang, D.G.
    Hao, X.C.
    Hu, W.H.
    Zhao, H.
    Xiaoxing Weixing Jisuanji Xitong/Mini-Micro Systems, 2001, 22 (05):
  • [48] Drill fracture detection by the discrete wavelet transform
    Lee, BY
    Tarng, YS
    JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2000, 99 (1-3) : 250 - 254
  • [49] HIF analysis using discrete wavelet transform
    Torres, Vicente
    Ruiz-Paredes, Hector F.
    Venegas, Vicente R.
    Ramirez Z, Salvador
    2017 IEEE INTERNATIONAL AUTUMN MEETING ON POWER, ELECTRONICS AND COMPUTING (ROPEC), 2017,
  • [50] Compression of Magnetocardiograms Using the Discrete Wavelet Transform
    Arvinti, Beatrice
    Costache, Marius
    Stolz, Ronny
    2012 10TH INTERNATIONAL SYMPOSIUM ON ELECTRONICS AND TELECOMMUNICATIONS, 2012, : 247 - 250
12345