the.com/wavelet

A tiny wave that lives and dies fast, perfect for catching sudden change.

means A small, short-lived wave or ripple — and in math and signal processing, a brief, localized wiggle used to analyze or compress data that changes abruptly.

from Straightforward compound: 'wave' plus the diminutive suffix '-let' (as in 'booklet' or 'droplet'), which traces back through French to Latin roots meaning 'small.' The physical sense (a little ripple on water) is old and plain; the mathematical sense is a 20th-century coinage, when researchers building on Fourier analysis needed a word for small, localized wave-forms that could zoom in on sudden signal changes — so they simply shrank 'wave' down to size.

vs fourier
localizes time and frequency, sine waves only do frequency
used in
jpeg2000 compression and earthquake signal analysis
key trick
zooms in on transients that flat sine waves blur
pioneer
ingrid daubechies built the wavelets engineers actually use
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