# wavelet

## wavelet

[weyv-lit]
noun
a small wave; ripple.

Origin:
1800–10; wave + -let

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Collins
World English Dictionary
 wavelet (ˈweɪvlɪt) —n a small wave

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Etymonline
Word Origin & History

wavelet
1813, dim. of wave (n.).
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
 wavelet   (wāv'lĭt)  Pronunciation Key  A small wave; a ripple. See more at wave.
The American Heritage® Science Dictionary
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FOLDOC
Computing Dictionary

### wavelet definition

mathematics
A waveform that is bounded in both frequency and duration. Wavelet tranforms provide an alternative to more traditional Fourier transforms used for analysing waveforms, e.g. sound.
The Fourier transform converts a signal into a continuous series of sine waves, each of which is of constant frequency and amplitude and of infinite duration. In contrast, most real-world signals (such as music or images) have a finite duration and abrupt changes in frequency.
Wavelet transforms convert a signal into a series of wavelets. In theory, signals processed by the wavelet transform can be stored more efficiently than ones processed by Fourier transform. Wavelets can also be constructed with rough edges, to better approximate real-world signals.
For example, the United States Federal Bureau of Investigation found that Fourier transforms proved inefficient for approximating the whorls of fingerprints but a wavelet transform resulted in crisper reconstructed images.
SBG Austria (http://mat.sbg.ac.at/~uhl/wav.html).
["Ten Lectures on Wavelets", Ingrid Daubechies].
(1994-11-09)
The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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Example sentences
Instead, it is part of a surprising wavelet of innovation in an industry largely dismissed by venture capital: automobiles.