Factorization of the matrices of discrete wavelet transform on the Galois functions base

被引：0
作者：
Prevysokova, V. N. [1 ]
机构：
[1] Vasyl Stefanyk Precarpathian Natl Univ, 57 Str Shevchenka, UA-76018 Ivano Frankivsk, Ukraine
来源：
CARPATHIAN MATHEMATICAL PUBLICATIONS | 2023年 / 15卷 / 02期
关键词：
ALGORITHM;
D O I：
10.15330/cmp.15.2.543-551
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper deals with the factorization of the matrices of discrete wavelet transform based on the Galois functions of different orders. It is used the known method of factorization of the matrices of the discrete Haar transform. Factorized matrices of transforms are presented in the form of a product of sparse matrices. This representation is the basis for building fast transforms algorithms. Key words and phrases: factorization of the matrices, discrete wavelet transform, wavelet system on the Galois functions base.
引用
收藏
页码：543 / 551
页数：9
相关论文
共 50 条
  • [31] Design and implementation of a novel power factor monitoring unit using discrete wavelet transform
    Sarkar, Arghya
    Sengupta, S.
    IET SCIENCE MEASUREMENT & TECHNOLOGY, 2009, 3 (01) : 2 - 12
  • [32] A sleep apnea detection method based on discrete wavelet transform and convolutional neural network
    Hou Xuke
    Dong Xiang
    Huang Zexia
    2024 3RD INTERNATIONAL CONFERENCE ON IMAGE PROCESSING AND MEDIA COMPUTING, ICIPMC 2024, 2024, : 313 - 316
  • [33] An Approach to Detection of High Impedance Fault Using Discrete Wavelet Transform and Artificial Neural Networks
    Vahidi, Behrooz
    Ghaffarzadeh, Navid
    Hosseinian, Sayed Hosein
    Ahadi, Seyed Mohammad
    SIMULATION-TRANSACTIONS OF THE SOCIETY FOR MODELING AND SIMULATION INTERNATIONAL, 2010, 86 (04): : 203 - 215
  • [34] Obstructive sleep apnea detection using discrete wavelet transform-based statistical features
    Rajesh, Kandala. N. V. P. S.
    Dhuli, Ravindra
    Kumar, T. Sunil
    COMPUTERS IN BIOLOGY AND MEDICINE, 2021, 130
  • [35] Smartphone-based respiratory rate estimation using photoplethysmographic imaging and discrete wavelet transform
    Alafeef, Maha
    Fraiwan, Mohammad
    JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING, 2020, 11 (02) : 693 - 703
  • [36] Error Bounds for Cumulative Distribution Functions of Convolutions via the Discrete Fourier Transform
    Warr, Richard L.
    Wight, Cason J.
    METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2020, 22 (03) : 881 - 904
  • [37] Detection of Transmission Line Faults in the Presence of Thyristor Controlled Reactor Using Discrete Wavelet Transform
    Choudhary, Sunita
    Mahela, Om Prakash
    Ola, Sheesh Ram
    2016 IEEE 7TH POWER INDIA INTERNATIONAL CONFERENCE (PIICON), 2016,
  • [38] Discrete Wavelet Transform Based V-I Image Fusion with Artificial Bee Colony Optimization
    Chatterjee, Ankita
    Biswas, Mainak
    Maji, Debasis
    Jana, Debashis
    Brojabasi, Subhajit
    Sarkar, Gautam
    Saha, Ayoshna
    Saha, Arnab Kumar
    Hossain, Allama
    Podder, Sampriti
    Das, Sanchari
    Bhattacharya, Ankhi
    2017 IEEE 7TH ANNUAL COMPUTING AND COMMUNICATION WORKSHOP AND CONFERENCE IEEE CCWC-2017, 2017,
  • [39] Segmentation of Breast Lesions in Ultrasound Images through Multiresolution Analysis Using Undecimated Discrete Wavelet Transform
    Prabusankarlal, K. M.
    Thirumoorthy, P.
    Manavalan, R.
    ULTRASONIC IMAGING, 2016, 38 (06) : 384 - 402
  • [40] A new automated compression technique for 2D electrocardiogram signals using discrete wavelet transform
    Pal, Hardev Singh
    Kumar, A.
    Vishwakarma, Amit
    Singh, Girish Kumar
    Lee, Heung-No
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2024, 133
12345