Wavelet Transform
In mathematics, a wavelet series is a representation of a square-integrable (real- or complex-valued) function by a certain orthonormal series generated by a wavelet. Nowadays, wavelet transformation is one of the most popular candidates of the time-frequency-transformations. This article provides a formal, mathematical definition of an orthonormal wavelet and of the integral wavelet transform.
Read more about Wavelet Transform: Formal Definition, Wavelet Transform, Wavelet Compression, Comparison With Wavelet Transformation, Fourier Transformation and Time-frequency Analysis, Other Practical Applications, See Also, References
Famous quotes containing the words wavelet and/or transform:
“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)
“Bees plunder the flowers here and there, but afterward they make of them honey, which is all theirs; it is no longer thyme or marjoram. Even so with the pieces borrowed from others; one will transform and blend them to make a work that is all one’s own, that is, one’s judgement. Education, work, and study aim only at forming this.”
—Michel de Montaigne (1533–1592)