"Wavelet theory is nowadays a very active field of approximation theory with a wide impact on signal analysis, high-performance imaging applications, and adaptive transversal filter theory. It is concerned with the modeling of univariate and multivariate signals with a set of specific signals. The specific signals are just the wavelets. Families of wavelets are used to approximate a given signal (with respect to the L2 norm, say), and each element in the wavelet set is constructed from the same original window, the mother wavelet."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
Walter Schempp: (quote from p. 278)
https://en.wikiquote.org/wiki/Wavelet
Revision History
No revisions have been submitted for this quote.
Categories
Wavelet
6 quotes on TrueQuotesView all quotes by Wavelet →
Related Quotes
"Wavelets are everywhere nowadays. Whether in signal or image processing, in astronomy, in fluid dynamics (turbulence)…"
"On the one hand, the concept of wavelets can be viewed as a synthesis of ideas which originated during the last twent…"
"Wavelets were developed independently by mathematicians, quantum physicists, electrical engineers and geologists, but…"
"Wavelets were introduced at the beginning of the 'eighties by J. Morlet, a French geophysicist at Elf-Aquitaine, as a…"
"A Haar wavelet is the simplest type of wavelet. In discrete form, Haar wavelets are related to a mathematical operati…"
"The process of reasoning called "Mathematical Induction" has had several independent origins. It has been traced back…"
"The method represents a best approximation algorithm of minimal length that, owing to several minimization properties…"
"This method is supreme above all praise; it is certainly the finest thing accomplished in number theory before Lagrange."
"Multiply the arc by the square of the arc, and take the result of repeating that [any number of times]. Divide [each …"
"This is as I have said in my Arithmetic:—The area of a circle is equal to the product of the circumference by one-fou…"