In mathematics the finite Fourier transform may refer to either
- another name for the discrete Fourier transform
or
- another name for the Fourier series coefficients
or
- a transform based on a Fourier-transform-like integral applied to a function, but with integration only on a finite interval, usually taken to be the interval . Equivalently, it is the Fourier transform of a function multiplied by a rectangular window function. That is, the finite Fourier transform of a function on the finite interval is given by:
Famous quotes containing the words finite and/or transform:
“We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.”
—Blaise Pascal (1623–1662)
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—Carlos Marighella (d. 1969)