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Inverse DFT

The inverse DFT (the IDFT) is given by

$\displaystyle x(t_n) = \frac{1}{N}\sum_{k=0}^{N-1}X(\omega_k )e^{j\omega_k t_n}, \qquad n=0,1,2,\ldots,N-1.

The inverse DFT is written using `$ =$' instead of ` $ \isdeftext $' because the result follows from the definition of the DFT, as we will show in Chapter 6.

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