TY - JOUR
T1 - Multiresolution analysis for linear canonical wavelet transform
AU - Guo, Yong
AU - Yang, Li Dong
AU - Li, Bing Zhao
N1 - Publisher Copyright:
© International Association of Engineers.
PY - 2019/5/1
Y1 - 2019/5/1
N2 - Since linear canonical wavelet transform (LCWT) breaks through the limitation of wavelet transform in time- Fourier domain analysis, LCWT has become a useful mathematical tool in the applied mathematics, engineering and signal processing fields. The multi-resolution analysis (MRA) associated with LCWT can not only provides a method for constructing orthogonal wavelet associated LCWT, but also develops a theoretical basis for fast LCWT algorithm, and thus plays a key role for its prospective applications. In this paper, inspired by sampling theorem of band-limited signal in LCT domain, the MRA associated with LCWT is studied firstly. Moreover, the construction method of orthogonal wavelets for LCWT is developed. Finally, two examples of generalized orthogonal Haar and Shannon wavelets for LCWT are deduced.
AB - Since linear canonical wavelet transform (LCWT) breaks through the limitation of wavelet transform in time- Fourier domain analysis, LCWT has become a useful mathematical tool in the applied mathematics, engineering and signal processing fields. The multi-resolution analysis (MRA) associated with LCWT can not only provides a method for constructing orthogonal wavelet associated LCWT, but also develops a theoretical basis for fast LCWT algorithm, and thus plays a key role for its prospective applications. In this paper, inspired by sampling theorem of band-limited signal in LCT domain, the MRA associated with LCWT is studied firstly. Moreover, the construction method of orthogonal wavelets for LCWT is developed. Finally, two examples of generalized orthogonal Haar and Shannon wavelets for LCWT are deduced.
KW - Linear canonical convolution
KW - Linear canonical transform
KW - Linear canonical wavelet transform
KW - Multiresolution analysis
KW - Wavelet transform
UR - http://www.scopus.com/inward/record.url?scp=85066290843&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85066290843
SN - 1819-656X
VL - 46
SP - 358
EP - 364
JO - IAENG International Journal of Computer Science
JF - IAENG International Journal of Computer Science
IS - 2
ER -