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