# Translations:Inverse Fourier transform/1/en

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The Fourier equations can be simplified by choosing the discrete time spacing to define one unit of time - that is, by choosing . Then the angular frequency becomes . The equation connecting the discrete-time integer *n *of the digital signal with the true time scale *t* of the continuous-time signal is . If we use equation **15** of Chapter 4, we see that the Nyquist frequency is and the Nyquist angular frequency is . The *discrete Fourier transform* of the signal (, , …, ) is