We would like design a Fa fiter with the following specifications

$0\mathrm{.}99|H(e^{jw})|1\mathrm{.}01$ when $|w|0\mathrm{.}2$

$|H(e^{jw})|0\mathrm{.}1$ when $0\mathrm{.}3|w|0\mathrm{.}8$

$0\mathrm{.}995|H(e^{jw})|1\mathrm{.}005$ when $|w|0\mathrm{.}9$

a$-$The hiter type in$.$

On Low pass

Oa$.$ Band$-$stop

Oc$.$ Band$-$pass

Od$.$ High pass

b$-$ The approprimbe truncation window in

On$.$ Rectangular

Oa$.$ Blackman

O$.$ Hanning

Od$.$ Hamming

c$-$ The window alme in $N-$

On$.18$

Oa$.43$

O$.15$

Od$.55$

O$.22$

$31$

d$-$ The frent cat af frequency in cave of many in

Qn $0\mathrm{.}6$

O$.0\mathrm{.}25$

o$.0\mathrm{.}85$

O$.0\mathrm{.}2$

Q$.0\mathrm{.}7$

$.0\mathrm{.}55$

E Ithal flimer impulwe hind resporme is

${}_c\frac{sin(n)-sin({}_{c}n)}{sin({}_{c}n)+sin(n)}$

Od$.\frac{sin({}_{C1}n)+sin(n)-sin({}_{C2}n)}{n}$