[SOLVED] mathematical complexities in DFT

[KhaledOsmani]

Hello,

Concerning the discrete fourier transform, in digital signal processing domain:

if you have a signal, labeled as x, such that x = {-1, -2, 1, 2} which is the input signal of a discrete time filter.

HOW The following result has taken place:

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(The solution is in red)

 

[Y.SAI SARASWATHI]

What kind of discrete filter it is?
in the solution you have performed circular shift operation not dft.