Q$32$ How do you implement a filter using digital processor? What is the relationship between s and z$.$ What is the difference between a non$-$recursive and a recursive filter?

Q$33$ A digital filter is described by the expression

y $=2$x $-$ x $+0\mathrm{.}8$y n n n$-1$ n$-1$

$($a$)$ State whether the filter is recursive or non$-$recursive. Justify your answer.

$($b$)$ State the order of the filter.

$($c$)$ Derive the filter transfer function.

$($d$)$ The following sequence of input values is applied to the filter.

X$0=5$

X$1=16$

X$2=8$

X$3=-3$

X$4=0$

X$5=2$

Determine the output sequence for the filter, from y$0$ to y$5.$

Q$34$ Explain with the help of appropriate diagrams Star, Mesh and Tree network topology in WSN and IoT system. What are the advantages of Mesh Topology over others?

With respect to $7-$layer communication protocol, write the essential layers for the IoT protocol. Explain the data format for the WiFi protocol.