Wavelets

A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the number and direction of its pulses. Wavelets are imbued with specific properties that make them useful for signal processing. thumb|Seismic wavelet

image compression standard and coding system

video compression format

mathematical technique used in data compression and analysis

tool for Digital Signal Processing

transform in numerical harmonic analysis

French geophysicist (1931–2007)

design method of discrete wavelet transforms

image compression file format

file format

method of solving system of linear algebrayes equations based on the use of a sequence of decreasing grids and operator

digital signal filter

Pixlet is a video codec created by Apple and based on wavelets, designed to enable viewing of full-resolution, HD movies in real time at low DV data rates. According to Apple's claims, it allows for a 20–25:1 compression ratio. Similar to DV, it does not use interframe compression, making it suitable for previewing in production and special effects studios. It is designed to be an editing codec; however, low bitrates make it poorly suited to broadcast use.

thumb|right|Coiflet with two vanishing moments Coiflets are discrete wavelets designed by Ingrid Daubechies, at the request of Ronald Coifman, to have scaling functions with vanishing moments. The wavelet is near symmetric, their wavelet functions have N/3 vanishing moments and scaling functions N/3-1, and has been used in many applications using Calderón–Zygmund operators.

Signal decomposition where wavelet packet decomposition (sampled)