# Linear canonical wavelet transform: Properties and inequalities
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/linear-canonical-wavelet-transform-properties-and-inequalities
Jurnal / Konferensi: International Journal of Wavelets Multiresolution and Information Processing
Tahun terbit: 2021
DOI: https://doi.org/10.1142/S0219691321500272
ISSN: 02196913
Kuartil SJR: Q3
Citations: 12

## Authors
- Bahri M.

## Abstract
This paper deals with the linear canonical wavelet transform. It is a non-trivial generalization of the ordinary wavelet transform in the framework of the linear canonical transform. We first present a direct relationship between the linear canonical wavelet transform and ordinary wavelet transform. Based on the relation, we provide an alternative proof of the orthogonality relation for the linear canonical wavelet transform. Some of its essential properties are also studied in detail. Finally, we explicitly derive several versions of inequalities associated with the linear canonical wavelet transform.

## Keywords
- Harmonic wavelet transform
- Mathematics
- Wavelet transform
- Discrete wavelet transform
- Stationary wavelet transform
- Wavelet
- Second-generation wavelet transform
- Wavelet packet decomposition
- Continuous wavelet transform
- Lifting scheme
- Orthogonal wavelet
- Computer science
- Artificial intelligence

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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