wavelet
<mathematics> A waveform that is bounded in both frequency and duration.
Wavelet tranforms provide an alternative to more traditional Fourier transforms
used for analysing waveforms, e.g. sound.
The Fourier transform converts a signal into a continuous series of sine waves,
each of which is of constant frequency and amplitude and of infinite duration.
In contrast, most real-world signals (such as music or images) have a finite
duration and abrupt changes in frequency.
Wavelet transforms convert a signal into a series of wavelets. In theory,
signals processed by the wavelet transform can be stored more efficiently than
ones processed by Fourier transform. Wavelets can also be constructed with rough
edges, to better approximate real-world signals.
For example, the United States Federal Bureau of Investigation found that
Fourier transforms proved inefficient for approximating the whorls of
fingerprints but a wavelet transform resulted in crisper reconstructed images.
SBG Austria.
["Ten Lectures on Wavelets", Ingrid Daubechies].
(1994-11-09)
Nearby terms:
wave division multiplexing « Waveform Generation
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