pecifications:

$|$H$($ej$)|0\mathrm{.}01,0|$$|0\mathrm{.}25$

$0\mathrm{.}95|$H$($ej$)|1\mathrm{.}05,0\mathrm{.}35$ $|$$|0\mathrm{.}6$

$|$H$($ej$)|0\mathrm{.}01,0\mathrm{.}65$ $|$$|$

The filter order N and shape parameters of the Kaiser window can be determined by

N $=$ s $8$

$2\mathrm{.}285($$)$

$=$

$$

$$

$$

$0\mathrm{.}1102($s $8\mathrm{.}7),$ if s $>50$

$0\mathrm{.}5842($s $21)0\mathrm{.}4+0\mathrm{.}07886($s $21),$ if $21$ s $50$

$0,$ if s $<21$

where $$ denotes the transition bandwidth and s denotes the peak approximation error in dB$.$

$($a$)(5$ pts$)$ Determine the impulse response of the ideal filter hd$[$n$]$ to which the Kaiser should be applied.

$($b$)(8$ pts$)$ Determine the minimum filter length and shape parameter for the Kaiser window.

$($c$)(3$ pts$)$ What is the group delay of the FIR