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For discrete- -time sinc function, what is the inverse discrete-time Fourier transform of the function as shown in the figure?

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Concept: Inverse disude time fourier transform is given by the formula

x(n) = 

Calculation: Given DTFT

i.e. x(ejn) = 

Applying the formulae for inverse DTFT we get

x[n] = 

        = 

       = 

Converting into sinc function:   

x[n] =  = 

x [n] = 

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