Coupled 2D D-Fractional Wavelet Transform

被引：0

作者：

Roopkumar, Rajakumar ^{[1
]}

Kamalakkannan, Ramanathan ^{[1
]}

Zayed, Ahmed ^{[2
]}

机构：

[1] Cent Univ Tamil Nadu, Dept Math, Thiruvarur 610005, India

[2] De Paul Univ, Dept Math Sci, Chicago, IL 60614 USA

来源：

CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 03期

关键词：

Coupled Fractional Fourier Transform; fractional wavelet transform; convolution; uncertainty principle; FRACTIONAL FOURIER-TRANSFORM;

D O I：

10.37256/cm.5320244615

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new fractional wavelet transform using the convolution for the coupled fractional Fourier transform. We derive that the fractional wavelet transform satisfies all the expected properties such as Parseval identity, inversion formula, convolution theorem. We also characterize the range of the fractional wavelet transform on 2 ( R 2 ) . we establish the for the fractional wavelet transform.

引用

页码：3098 / 3117

页数：20

共 50 条

[1] RECURSIVE WAVELET TRANSFORM FOR 2D SIGNALS
BARRAT, M
LEPETIT, O
CVGIP-GRAPHICAL MODELS AND IMAGE PROCESSING, 1994, 56 (01): : 106 - 108
[2] An embedded core for the 2D wavelet transform
Diou, C
Torres, L
Robert, M
ETFA 2001: 8TH IEEE INTERNATIONAL CONFERENCE ON EMERGING TECHNOLOGIES AND FACTORY AUTOMATION, VOL 2, PROCEEDINGS, 2001, : 179 - 186
[3] Learning Filters for the 2D Wavelet Transform
Recoskie, Daniel
Mann, Richard
2018 15TH CONFERENCE ON COMPUTER AND ROBOT VISION (CRV), 2018, : 198 - 205
[4] A Fractional Hilbert Transform for 2D Signals
Bernstein, Swanhild
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2014, 24 (04) : 921 - 930
[5] A Fractional Hilbert Transform for 2D Signals
Swanhild Bernstein
Advances in Applied Clifford Algebras, 2014, 24 : 921 - 930
[6] Image coding using 2D wavelet transform
Liu, Qi
Han, Chengde
1996, (08):
[7] Kind of parallelable algorithm for 2D wavelet transform
Yin, Guo-Cheng
Zhang, De-Gan
Hao, Xian-Chen
Kongzhi yu Juece/Control and Decision, 2002, 17 (02): : 139 - 142
[8] FPGA implementation for 2D discrete wavelet transform
Hung, KC
Huang, YJ
Truong, TK
Wang, CM
ELECTRONICS LETTERS, 1998, 34 (07) : 639 - 640
[9] Algorithms and architectures for 2D discrete wavelet transform
Asadollah Shahbahrami
The Journal of Supercomputing, 2012, 62 : 1045 - 1064
[10] Algorithms and architectures for 2D discrete wavelet transform
Shahbahrami, Asadollah
JOURNAL OF SUPERCOMPUTING, 2012, 62 (02): : 1045 - 1064

← 1 2 3 4 5 →