Wavelet: meaning, definitions and examples
🌊
wavelet
[ ˈweɪv.lət ]
signal processing
A wavelet is a mathematical function used in signal processing and analysis. It is a small wave-like oscillation that is localized in both time and frequency. Wavelets are particularly useful for representing signals with discontinuities and sharp changes.
Synonyms
signal processing function, wave-like function
Examples of usage
- The wavelet transform is commonly used in image processing.
- Wavelets are used in data compression techniques.
- Wavelet analysis allows for the decomposition of a signal into different frequency components.
mathematics
In mathematics, a wavelet is a wave-like oscillation with an amplitude that starts at zero, increases, and then decreases back to zero. Wavelets are often used in numerical analysis and functional analysis, particularly in the study of signal processing and Fourier analysis.
Synonyms
oscillation function, wave-like function
Examples of usage
- The Haar wavelet is a simple example of a wavelet function.
- Wavelet theory has applications in both pure and applied mathematics.
Translations
Translations of the word "wavelet" in other languages:
🇵🇹 ondícula
🇮🇳 तरंगिका
🇩🇪 Wellenlet
🇮🇩 gelombang kecil
🇺🇦 вевлет
🇵🇱 falka
🇯🇵 小波
🇫🇷 ondelette
🇪🇸 ondita
🇹🇷 dalgaçık
🇰🇷 소파
🇸🇦 تموج صغير
🇨🇿 vlnačka
🇸🇰 vlnka
🇨🇳 小波
🇸🇮 valček
🇮🇸 bylgjulítil
🇰🇿 толқынша
🇬🇪 ტალღი
🇦🇿 dalğacıq
🇲🇽 ondita
Word origin
The term 'wavelet' originated from the French word 'ondelette', which means 'small wave'. The concept of wavelets was first introduced in the late 1970s and has since become an important tool in signal processing, data compression, and various other fields of mathematics and engineering. Wavelets have revolutionized the way signals are analyzed and processed due to their ability to capture both time and frequency characteristics efficiently.
See also: airwaves, wave, wavelength, wavelike, wavenumber, waver, wavering, wavy.