15.7. Discrete-Time Fourier Transform

Discrete-Time Fourier Transform (DTFT) is Fourier Transform of discrete-time sequence. It represents the discrete-time sequence x(n) in terms of complex exponential sequence (ejw) where w is the real frequency variable. Mathematically, DTFT X(ejw) of a sequence x(n) is given as

15.6.

Also x(n) can be represented vice versa, that is

15.7.

Symbolically,

In MATLAB, user-defined function can be developed ...

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