i need b$)$The DFT can be seen as a sampled and discrete$-$frequency version of the

continuous$-$frequency DTFT$,$ and the two transforms are closely related.$\backslash \backslash \backslash \backslash$ in buterfluy $)$ Compute the $8-$point DFT of the sequence.

$\backslash [$

x$[$n$]=\backslash \{1,2,3,4,4,3,2,1\backslash \}$

$\backslash ]$

Using Decimation in Time $($FFT$-$DIT$).$ Follow the signal flow graphs corresponding to the FFT$-$DIT method and annotate all intermediate quantities on the diagrams.

$(24$ Marks$)$

b$)$ Explain the relation between Discrete Time Fourier Transform $($DTFT$)$ and Discrete Time Fourier Transform $($DFT$).$

$(6$ Marks$)$