Explain inverse discrete-time fourier transform, Electrical Engineering

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Explain Inverse Discrete-Time Fourier Transform

1. Observe the same things among this formula and the inverse analogue Fourier transform:

  • The (1/2π) factor
  • The sign of j?n (n replaces t) that is "+"for the inverse DTFT and was "-" for the DTFT
  • The variable of integration (d?)

2. The range of integration is just now -π to π rather than -∞ to ∞. (π corresponds to half the sampling frequency).

3. Negative frequencies are once again included.

4. With the DTFT, the forward transform is a summation and the inverse transform is an integral. This is because {h[n]} is a sequence whereas H(ej?) is a function of the continuous variable ?.


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