PROBLEM 9.4:
A sequence $x[n]$ of length 8 has an 8-point DFT $X_8[k]$. A second sequence, $y[n]$ is defined as
$\y[n] = \begin{cases} x[n] & 0 \le n < 8 \\ 0 & 8 \le n < N_y \end{cases}$
is there a simple relationship between $X_8[k]$ and $Y_{N_y}[k]$ when
(a) $N_y = 32$?
(b) $N_y = 15$?
If so, give that relationship.