|Spanish to English translations [PRO]|
|Spanish term or phrase: trasladar|
|Así como el análisis de Fourier básicamente consiste en descomponer la señal en ondas sinusoidales de diferentes frecuencias, el análisis wavelet consiste en la descomposición de una señal arbitraria f en versiones escaladas y trasladadas de la wavelet madre u original|
I have lots of ideas, but I want to know how this is *actually* said.
|scaled and translated|
...definitely. See the reference.
[PDF] From Fourier Transform to Wavelets
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... If the Fourier transform of the wavelet is M times differentiable the ... discretized
so that the mother wavelet can only be scaled and translated in discrete ...
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as in scaled and shifted versions of the mother wavelet.
While there are hits for scaled and translated versions, I don't know if translate is the same as shift. As trasladar implies movement, I think shift might be what you're looking for.
The Continuous Wavelet Transform (CWT) is used to decompose a signal into wavelets, small oscillations that are highly localized in time. Whereas the Fourier transform decomposes a signal into infinite length sines and cosines, effectively losing all time-localization information, the CWT's basis functions are scaled and shifted versions of the time-localized mother wavelet. The CWT is used to construct a time-frequency representation of a signal that offers very good time and frequency localization.
Using a wavelet transform, the signal is decomposed into these scaled versions of the mother wavelet. In fact, the composing cosines used in Fourier analysis can also be seen as stretched, scaled, and shifted versions of a mother-cosine. In Fourier analysis, the composing functions are infinite in the time domain because they represent exactly one frequency. In wavelet analysis, the composing wavelets have a limited extent both in the time domain and in the frequency domain, where contributions from frequencies outside a certain area are negligible. (1st ref)
Note added at 39 mins (2003-11-11 10:22:07 GMT)
Whereas the Fourier transform breaks the signal into a series of sine waves of different frequencies, the wavelet transform breaks the signal into its \"wavelets\", scaled and shifted versions of the \"mother wavelet\".
| Nikki Graham|
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