Design a simple highpass FIR filter with linear phase. The filter operates with a sampling frequency of $104$ kHz and a cut$-$off frequency of $13$ kHz$.$ The ideal impulse response is:

$($n$)+($n$-2)+8($n$-8)$

$5($n$)-(1/2)$ sinc$($n n$/2)$

$$None of these

$(1/4)$sinc$($mn$/4)$

$8($n$)-(1/4)$sinc$($nt