Please help with this question, Thanks alot!, I will give good feedback! (d) [3 Marks] For a system defined by the unit sample response, h n = (n^4 + 1/2)u n - 4 , is this system BIBO (bounded - input bounded - output) stable? Justify your answer. Is this system causal? Justify your answer. Is this system linear time - invariant? Justify your answer. Does this system have memory? Justify your answer. Solution IT IS UNSTABLE Reason: as n --> infinite h[n] ---> infinite It is non causal its output depend on feature values because a cusal system is the one whose output depends on present and past values but not on future values it is neither liner nor time invariant because h[n] dependency is directly proportional to square of n it is a memory less system.

1. Please help with this question, Thanks alot!, I will give good feedback! (d) [3 Marks] For a
system defined by the unit sample response, h n = (n^4 + 1/2)u n - 4 , is this system BIBO
(bounded - input bounded - output) stable? Justify your answer. Is this system causal? Justify
your answer. Is this system linear time - invariant? Justify your answer. Does this system have
memory? Justify your answer.
Solution
IT IS UNSTABLE
Reason: as n --> infinite h[n] ---> infinite
It is non causal
its output depend on feature values because a cusal system is the one whose output depends on
present and past values but not on future values
it is neither liner nor time invariant
because h[n] dependency is directly proportional to square of n
it is a memory less system