$2-$ point$(M=2)$ moving average system for input $(1,2,3),x(0)=2,$ gives $y(0)=?$

a$)\frac{3}{2}$

b$)\frac{6}{2}$

c$)\frac{5}{2}$

d$)$NON

if angular analogue frequency $=100Hz,fs=10Hz$ then $($angular digital frequency, angular sampling frequency$)=?$

a$-(10,20)$

$b=(20,10)$

$c=(10\mathrm{.}20)$

d$)$ NON

periodic sequence $x(n)=\{\frac{1}{2},\frac{1}{2}\}$ attained from $sin(wn+)$ has a$-$ phi$=30$

b$-$ phi$=60$

c$-$ phi$=45$

d$-$NON

$11.$unit step function:

a$-$has average power$=(1/2)$ b$-$power signal c$-$all of them d$-$NON

Energy of the sequence $x(n)=(\frac{1}{5}{)}^{|n|}$ equal to:

a$)\frac{23}{24}$

b$)\frac{26}{24}$

c$)25/24$

d$)$NON

Sinc $100n$ is

a$-$ absolutely summable b$-$squared summable c$-$ not$-$absolutely summable d$-$NON

If time impulse response of DTS is $h(n)=\frac{e^{jwn}}{(n-1)},$ then this system at $n=2$ is

a$-$ Stable

b$-$ critical

c$-$unstable

d$-$NON

For cascade transfer functions $h1(n)=e^{jw(n-2)}$ and $h2(n)=(n+3)$ then the equivalent impulse response equals to

a$-e^{jw(n+5)}$

b$-e^{jw(n+2)}$

c$-e^{jw(n+1)}$

d$-$NON

$16.$Time impulse response $h(n)$ for $y(n)={\displaystyle \underset{l=0}{\overset{l=n}{}}}x(l)=?$

a$)(n)$

b$)1$

c$)u(n)$

d$)$NON

$x(-n)$ is

a$-$time invariant b$-$time independent

c$-$time variant d$-$NON