In the article I described the discrete fourier transform, but there is a continuous version, where a signal is represented by an infinite sum (really an integr

In the article I described the discrete fourier transform, but there is a continuous version, where a signal is represented by an infinite sum (really an integral) of component frequencies. This is the version that is more generally useful. Here's a great animation by LucasVB of the continuous fourier transform in action: http://upload.wikimedia.org/wikipedia/commons/a/a3/Continuous_Fourier_transform_of_rect_and_sinc_functions.gif http://upload.wikimedia.org/wikipedia/commons/a/a3/Continuou...