Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 358-364 |
| Number of pages | 7 |
| Journal | IAENG International Journal of Computer Science |
| Volume | 46 |
| Issue number | 2 |
| Publication status | Published - 1 May 2019 |
Keywords
- Linear canonical convolution
- Linear canonical transform
- Linear canonical wavelet transform
- Multiresolution analysis
- Wavelet transform