Difference between revisions of "Dictionary:Fourier analysis/es"

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{{#category_index:F|Fourier analysis}}
 
{{#category_index:F|Fourier analysis}}
(foor’ ēā,) The analytical representation of a waveform as a weighted sum of sinusoidal functions. Determining the amplitude and phase of cosine (or sine) waves of different frequencies into which a waveform can be decomposed. Fourier analysis can be thought of as a subset of the ''[[Special:MyLanguage/Dictionary:Fourier_transform|Fourier transform]]'' (q.v.). See Figure [[Special:MyLanguage/Dictionary:Fig_F-18|F-18]]. Opposite of Fourier synthesis. Named for Jean Baptiste Joseph Fourier (1768–1830), French mathematician.
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(floor’ qā,) Es la representación analítica de una forma de onda en una suma pesada de funciones sinusoidales. Determinando la amplitud y fase de ondas coseno (o seno) de diferentes frecuencias en las cuales la forma de onda puede ser descompuesta. El análisis de Fourier puede ser pensado como un sub-conjunto de "[[Special:MyLanguage/Dictionary:Fourier Transform|Transformada de Fourier"]] (q.v.). Ver [[Special:MyLanguage/Dictionary:Fig_F-18|Fig-18]]. Opuesto a la Síntesis de Fourier. Llamada así por el matemático francés Jean Baptiste Joseph Fourier (1768–1830).
  
 
[[File:Segf18.jpg|center|thumb|600px|FIG. F-18. (<b>a</b>) <b>Fourier analysis</b> involves finding the amplitude of frequency components for a waveform. The frequency-domain representation or spectrum ''G''(''f'') of a discrete time function ''g''<sub>''t''</sub> (waveform, seismic record trace, etc.) can be decomposed into a series of sinusoids by any of the following equivalent equations: <center><math>\begin{align}
 
[[File:Segf18.jpg|center|thumb|600px|FIG. F-18. (<b>a</b>) <b>Fourier analysis</b> involves finding the amplitude of frequency components for a waveform. The frequency-domain representation or spectrum ''G''(''f'') of a discrete time function ''g''<sub>''t''</sub> (waveform, seismic record trace, etc.) can be decomposed into a series of sinusoids by any of the following equivalent equations: <center><math>\begin{align}

Revision as of 08:53, 14 June 2017

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(floor’ qā,) Es la representación analítica de una forma de onda en una suma pesada de funciones sinusoidales. Determinando la amplitud y fase de ondas coseno (o seno) de diferentes frecuencias en las cuales la forma de onda puede ser descompuesta. El análisis de Fourier puede ser pensado como un sub-conjunto de "Transformada de Fourier" (q.v.). Ver Fig-18. Opuesto a la Síntesis de Fourier. Llamada así por el matemático francés Jean Baptiste Joseph Fourier (1768–1830).

FIG. F-18. (a) Fourier analysis involves finding the amplitude of frequency components for a waveform. The frequency-domain representation or spectrum G(f) of a discrete time function gt (waveform, seismic record trace, etc.) can be decomposed into a series of sinusoids by any of the following equivalent equations:
Where
If is a continuous waveform, the sum signs become integrals. (b) Fourier synthesis involves superimposing the components to reconstitute the waveform. For an antisymmetric sawtooth waveform, the first four components are:
. For a Fourier transform the limits are and and and constitute a Fourier-transform pair; see Figure F-19.


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