Q$17-16[20$ points$],$ The discrete signal $x[n]$ is sampled from the continuous signal $x(t)$ with sampling freq. $f_s=8kHz.x[k]$ is $8$ points DFT of $x[n]-$

$($a$)$ Find $x[n]$ of iDFT of $x[k]$

$($b$)$ Find $x(t)$ from $x[n]$

Hint$]=2$ is related with $f_s=8000$ or $w_s=28000$