Continuous wavelet
In numerical analysis, continuous wavelets are functions used by the continuous wavelet transform. These functions are defined as analytical expressions, as functions either of time or of frequency. Most of the continuous wavelets are used for both wavelet decomposition and composition transforms. That is they are the continuous counterpart of orthogonal wavelets.[1][2]
The following continuous wavelets have been invented for various applications:[3]
- Poisson wavelet
- Morlet wavelet
- Modified Morlet wavelet
- Mexican hat wavelet
- Complex Mexican hat wavelet
- Shannon wavelet
- Meyer wavelet
- Difference of Gaussians
- Hermitian wavelet
- Beta wavelet
- Causal wavelet
- μ wavelets
- Cauchy wavelet
- Addison wavelet
See also
References
- ^ Abstract Harmonic Analysis of Continuous Wavelet Transforms. Springer Science & Business Media. 2005. ISBN 978-3-540-24259-8.
- ^ Bhatnagar, Nirdosh (2020-02-18). Introduction to Wavelet Transforms. CRC Press. ISBN 978-1-000-76869-5.
- ^ Combes, Jean-Michel; Grossmann, Alexander; Tchamitchian, Philippe (2012-12-06). Wavelets: Time-Frequency Methods and Phase Space Proceedings of the International Conference, Marseille, France, December 14–18, 1987. Springer Science & Business Media. ISBN 978-3-642-75988-8.
Content Disclaimer
Informasi ini disarikan dari Wikipedia dan disajikan kembali untuk tujuan edukasi. Konten tersedia di bawah lisensi CC BY-SA 3.0. Kami tidak bertanggung jawab atas ketidakakuratan data yang bersumber dari kontribusi publik tersebut.
- The information displayed on this website is sourced in part or in whole from Wikipedia and has been adapted for the purpose of restating it. We strive to provide accurate and relevant information, however:
- There is no guarantee of absolute accuracy. Wikipedia is an open, collaborative project that can be edited by anyone, so information is subject to change.
- It is not intended to constitute professional advice. The content displayed is for informational and educational purposes only. For important decisions (e.g., medical, legal, or financial), please consult a professional.
- Content copyright. Wikipedia is licensed under the Creative Commons Attribution-ShareAlike License (CC BY-SA). This means that content may be reused with appropriate attribution and shared under a similar license.
- Responsible use. Any risk arising from the use of information from this website is entirely the responsibility of the user.