Fourier Transform Spectroscopy - Converting Spectra From Time Domain To Frequency Domain

Converting Spectra From Time Domain To Frequency Domain

S(t) = \int_{-\infty}^\infty I(\nu) e^{- i\nu 2\pi t}\,d\nu

The sum is performed over all contributing frequencies to give a signal S(t) in the time domain.

I(\nu) = \int_{-\infty}^\infty S(t) e^{i\nu 2\pi t}dt

gives non-zero value when S(t) contains a component that matches the oscillating function.
Remember that

Read more about this topic:  Fourier Transform Spectroscopy

Famous quotes containing the words converting, time, domain and/or frequency:

    “A way of certifying experience, taking photographs is also a way of refusing it—by limiting experience to a search for the photogenic, by converting experience into an image, a souvenir. Travel becomes a strategy for accumulating photographs.”
    —Susan Sontag (b. 1933)

    “To say that a man is your Friend, means commonly no more than this, that he is not your enemy. Most contemplate only what would be the accidental and trifling advantages of Friendship, as that the Friend can assist in time of need by his substance, or his influence, or his counsel.... Even the utmost goodwill and harmony and practical kindness are not sufficient for Friendship, for Friends do not live in harmony merely, as some say, but in melody.”
    —Henry David Thoreau (1817–1862)

    “Without metaphor the handling of general concepts such as culture and civilization becomes impossible, and that of disease and disorder is the obvious one for the case in point. Is not crisis itself a concept we owe to Hippocrates? In the social and cultural domain no metaphor is more apt than the pathological one.”
    —Johan Huizinga (1872–1945)

    “One is apt to be discouraged by the frequency with which Mr. Hardy has persuaded himself that a macabre subject is a poem in itself; that, if there be enough of death and the tomb in one’s theme, it needs no translation into art, the bold statement of it being sufficient.”
    —Rebecca West (1892–1983)