wavelet
wavelet A basis function, W, that yields the representation of a function f(x) of the form: f(x) = ∑b_{jk}W(2^{j}x – k)
Wavelets are based on two fundamental ideas: dilation and translation. The construction of wavelets begins with the solution to a dilation equation: φ(x) = ∑c_{k}φ(2x – k)
φ(x) is called the scaling function. W can then be derived from φ(x): W(x) = ∑(–1)^{k}c_{1–}_{k}φ(2x – k)
Wavelets are particularly useful for representing functions that are local in time and frequency. The idea of wavelets grew out of seismic analysis and is now a rapidly developing area in mathematics. There are elegant recursive algorithms for decomposing a signal into its wavelet coefficients and for reconstructing a signal from its wavelet coefficients.
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"wavelet." A Dictionary of Computing. . Encyclopedia.com. 29 May. 2017 <http://www.encyclopedia.com>.
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wavelet
wave·let / ˈwāvlit/ • n. a small wave of water; a ripple.
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"wavelet." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. 29 May. 2017 <http://www.encyclopedia.com>.
"wavelet." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. (May 29, 2017). http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/wavelet0
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wavelet
wavelet
•mallet, palette, pallet, valet
•tablet • pamphlet • aglet • anklet
•candlelit • hamlet
•Caplet, chaplet
•lamplit • flatlet • mantlet
•haslet, Hazlitt
•scarlet, Scarlett, starlet, starlit, varlet
•armlet • lancelet • branchlet
•martlet, tartlet
•plantlet • pellet • reglet • necklet
•playlet • lakelet • bracelet
•platelet, statelet
•wavelet • leaflet • eaglet • streamlet
•billet, filet, fillet, millet, skillet, willet
•driblet, triblet
•piglet • singlet • gimlet • inlet
•kinglet, ringlet, springlet, winglet
•ripplet, triplet
•wristlet
•eyelet, islet, stylet, twilit
•pikelet
•collet, Smollett, wallet
•goblet • rodlet
•omelette (US omelet) • droplet
•torchlit
•corselet, corselette
•gauntlet (US gantlet) • owlet
•townlet • toadlet • notelet • toilet
•moonlit • sextuplet • fruitlet
•bullet, pullet
•booklet, brooklet, hooklet
•quadruplet • annulet • septuplet
•rivulet • quintuplet
•gullet, mullet
•doublet • floodlit
•runlet, sunlit
•couplet • cutlet • frontlet • violet
•coverlet • circlet • verselet
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"wavelet." Oxford Dictionary of Rhymes. . Encyclopedia.com. 29 May. 2017 <http://www.encyclopedia.com>.
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"wavelet." Oxford Dictionary of Rhymes. . Retrieved May 29, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionariesthesaurusespicturesandpressreleases/wavelet