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Discrete-time fourier transform

The discrete time Fourier transform is the discrete time analog of the Fourier transform.

Formulation

  • The DTFT of the function f[n] is:

F(e^{j\omega})=\sum_{n=-\infty}^\infty {f[n]e^{j{\omega}n}}

  • The inverse transform of F(ejω) is:

f[n]=\frac{1}{2\pi}\sum_{n=-\infty}^\infty {F(e^{j\omega})e^{-j{\omega}n}}

01-04-2007 01:16:19
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