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.
The following continuous wavelets have been invented for various applications:
- Morlet wavelet
- Modified Morlet wavelet
- Mexican hat wavelet
- Complex Mexican hat wavelet
- Shannon wavelet
- Difference of Gaussians
- Hermitian wavelet
- Hermitian hat wavelet
- Beta wavelet
- Causal wavelet
- μ wavelets
- Cauchy wavelet
- Addison wavelet
Famous quotes containing the words continuous and/or wavelet:
“I describe family values as responsibility towards others, increase of tolerance, compromise, support, flexibility. And essentially the things I call the silent song of life—the continuous process of mutual accommodation without which life is impossible.”
—Salvador Minuchin (20th century)
“These facts have always suggested to man the sublime creed that the world is not the product of manifold power, but of one will, of one mind; and that one mind is everywhere active, in each ray of the star, in each wavelet of the pool; and whatever opposes that will is everywhere balked and baffled, because things are made so, and not otherwise.”
—Ralph Waldo Emerson (1803–1882)