Wavelet

Definition: Wavelet

Wavelet

Noun

1. A small wave on the surface of a liquid.

Date "wavelet" was first used in popular English literature: sometime before 1842. (references)

Specialty Definitions: Wavelet

Domain	Definitions
Computing	Wavelet 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://www.mat.sbg.ac.at/~uhl/wav.html) ["Ten Lectures on Wavelets", Ingrid Daubechies]. (1994-11-09). Source: The Free On-line Dictionary of Computing.
Physics	Small shockwave, usually present in large numbers in boundary layers and around surface of supersonic body. Source: European Union. (references)
Source: compiled by the editor from various references; see credits.

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Specialty Definition: Wavelet

(From Wikipedia, the free Encyclopedia)

A wavelet is the basis function of the wavelet transform. As opposed to sine and cosine, a wavelet not only has locality (small support) in the frequency domain but also in the time or spatial domain. Therefore, wavelets look like fading in and fading out waves. Hence the name.

The simplest wavelet is the Haar wavelet. A wavelet commonly used in the natural sciences is the Morlet wavelet. There is also the Daubechies wavelet which is well-suited for data with fractal properties.

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Wavelet."

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Synonyms: Wavelet

Synonyms: riffle (n), ripple (n), rippling (n). (additional references)

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Crosswords: Wavelet

English words defined with "wavelet": -let. (references)

Specialty definitions using "wavelet": Fourier transform. (references)

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Commercial Usage: Wavelet

Domain	Title
Books	Adapted Wavelet Analysis from Theory to Software (reference) Foundations of Wavelet Networks and Applications (reference) Practical Time-Frequency Analysis: Gabor & Wavelet Transforms with An Implementation in S (reference) Ripples in Mathematics: The Discrete Wavelet Transform (reference) Wavelet Applications in Engineering Electro- magnetics (reference) (more book examples)
Source: compiled by the editor from various references; see credits.

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Usage Frequency: Wavelet

"Wavelet" is generally used as a noun (singular) -- approximately 100.00% of the time. "Wavelet" is used about 5 times out of a sample of 100 million words spoken or written in English. Its rank is based on over 700,000 words used in the English language. Some parts-of-speech are not covered due to the samples used by the British National Corpus. (note: percents less than one-hundredth of one percent have been omitted)

Parts of Speech	Percent	Usage per 100 Million Words	Rank in English
Noun (singular)	100%	5	157,705

Source: compiled by the editor from several corpora; see credits.

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Frequency of Internet Keywords: Wavelet

The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com.

Expression	Frequency per Day	Expression	Frequency per Day
wavelet	60	wavelet theory	3
wavelet compression	13	primer wavelet	3
infrared spectra wavelet	11	box matlab tool tutorial wavelet	3
spectra wavelet	11	matlab thesis wavelet	3
wavelet transforms	9	matlab tutorial wavelet	2
transform wavelet	8	wavelet wind	2
comparison fourier wavelet	7	discrete transform wavelet	2
infrared wavelet	7	application wavelet	2
nir wavelet	6	wavelet software	2
code dsp matlab solution wavelet	5	band ultra uwb wavelet wide	2
digest wavelet	5	corner detection wavelet	2
transformation wavelet	4	haar orthonormal wavelet	2
wavelet tutorial	4	band defined radio sdr software ultra uwb walsh wavelet wide wigner	2
packet wavelet	4	matrix transforms wavelet	2
box introduction matlab tool wavelet	4	coefficient wavelet	2
image wavelet compression	4	introduction wavelet	2
haar wavelet	4	morlet wavelet	2
pattern recognition wavelet	4
		morlet wavelet	2
Source: compiled by the editor from various references; see credits.

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Modern Translations: Wavelet

Language		Translations for "wavelet"; alternative meanings/domain in parentheses.
Albanian		valëz, valë e lehtë. (various references)

Bulgarian		вълничка (dimple, ripple, ruffle). (various references)

Chinese		小波. (various references)

Czech		vlnka (ripple). (various references)

Danish		små chok. (various references)

Dutch		golfje. (various references)

French		transformation des ondelettes (wavelet transform). (various references)

German		Wellentransformation (wavelet transform). (various references)

Greek		κυμάτιο (riffle, ripple), μικρό κύμα κρούσεως. (various references)

Hebrew		אדוה (ripple). (various references)

Hungarian		hullámocska. (various references)

Italian		increspatura d'urto. (various references)

Manx		tonnane (ripple), tonnag. (various references)

Pig Latin		aveletway

Portuguese		pequena onda de choque, ondinha, onda pequena, leve ondulação. (various references)

Russian		небольшая волна. (various references)

Serbo-Croatian		talasić. (various references)

Spanish		ondita. (various references)
Source: compiled by the editor from various translation references.

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Ancestral Language Translations: Wavelet

Language	Period	Translations
Late Latin	300-700	undula. (various references)
Source: compiled by the editor from various references.

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Derivations & Misspellings: Wavelet

Derivations
	Words beginning with "wavelet": wavelets. (additional references)
Misspellings
	"Wavelet" is suggested in spellcheckers for the following: Wevelgem. (additional references)
Source: compiled by the editor, based on several corpora (additional references).

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Rhyming with "Wavelet"

Words rhyming with "wavelet" (pronounced 'Wave"let'): Armlet, Ballet, Batlet, Beamlet, Bendlet, Birdlet, Bloodlet, Booklet, Bracelet, Bractlet, Branchlet, Brooklet, Budlet, Bullet, Camlet, Cantlet, Chainlet, Chamlet, Cloudlet, Corselet, Corslet, Couplet, Croslet, Cross-crosslet, Crownlet, Cutlet, Finlet, Flamelet, Fortlet, Frislet, Frondlet, frontlet, Giblet, Goblet, gullet, Hamlet, Haslet, Inlet, islet, kinglet, leaflet, Liplet, Lobelet, mallet, Martlet, millet, Mountlet, Murrelet, necklet, Notelet. (additional references)

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Anagrams: Wavelet

Scrabble® Enable2K-Verified Anagrams
	Words within the letters "a-e-e-l-t-v-w"
	-1 letter: twelve, velate.
	-2 letters: elate, leave, telae, valet, weave.
	-3 letters: alee, awee, eave, late, lave, leet, leva, tael, tale, teal, teel, tela, tele, twae, twee, vale, veal, vela, wale, wave, weal, weel, weet, welt.
	-4 letters: ale, alt, ate, ave, awe, awl, eat, eel, eta, eve, ewe, lat, lav, law, lea, lee, let, lev, tae, tav.
	Words containing the letters "a-e-e-l-t-v-w"
	+1 letter: wavelets.
	+3 letters: wavelength.
	+4 letters: wavelengths.
Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.