Fourier Transform

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        02:33 PM, July 20, 2007
      
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        Decomposes a function into a continuous spectrum of its frequency components;
      
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        and the inverse goes the other way.
      
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<p>

      
        A useful analogy is the relationship between a series of pure 
      
      
        <u>notes </wiki/Scientific_pitch_notation></u>
      
      
         (the frequency components) and 
      
      
        <b>a musical chord </b>
      
      
        (the function itself). In mathematical physics, the Fourier transform of a signal 
      
      
        <i>x</i>
      
      
        (
      
      
        <i>t</i>
      
      
        ) can be thought of as that signal in the "
      
      
        <u>frequency domain </wiki/Frequency_domain></u>
      
      
        ." This is similar to the basic idea of the various other Fourier transforms including the 
      
      
        <u>Fourier series </wiki/Fourier_series></u>
      
      
         of a periodic function.
      
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Fourier Transform

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