1. !!(a)! For! the! systems! described! below,! determine! (and! give% reasons)!
whether!
the! system! is! i)! stable,! ii)! causal,! iii)! linear,! iv)! time-invariant,! and! v)!
memoryless:!
!
𝑦
(
𝑡
)
=
&
'0'''''''''''''''''''''''''''''''''𝑡<0
'𝑥
(
𝑡
)
+𝑥
(
𝑡+2
)
''''''𝑡≥0
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
(b)!A!discrete-time!signal!
𝑥
[
𝑛
]!is!shown!in!Figure!1.!Sketch!and!label!the!
signal!
𝑋
[
−2𝑛−1
]!
!
!
!
!
!
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Figure!1!
!
!
!
!
!
!
!
!
!
!
