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Assignment Signals and Systems (1)

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Signnls
and
aTaY
Sys tem
g i e n Siqnal an
be
TeoiAten
CoS(oYt w
The ime
aio
oimula T
d othe
+01)
Signal
2T
me
There
P
20)
L
o
((oee6 dert
only
o nfonent
in the
indi ste he Phase
S
h e Signal.
= 6S
TS
21T
T
s
3
2T
34
2TT
3
t)
Yacket oRos ine kunction
22T
3T4
oR
Het
on
f
t)
e
Reaquenigin
w2
Ye-hod only deland
NeSt
3iven buH
(G
shièvol
An d
is
TT
1|
No t
hat
de la
ean
e
T
an
d
Period
aende endert o
Pha se ,
and he
(L)
We ist Sivnplekq
Cos(to(t+) +9)
CoS
Note
Note
hat
0bors
(wt + ST +9
ot
ould
be
Conside ted
a
'hase
tvm
l e o b a r s y
DY ade layo
t
4
and
Aevo,
Ty +
ct)
t2
N
anu
nte
K,
al t
2
3
O
2TK
Thuy(
a)
Sin ce
,
q) fo all
o
Conclude that X(t) #y ().
i)
)
Thuy t)+y
62
e Tod Aheeod t
Mofe
Compkta ted.
N= 2TK
C)
o
me
s e te - wme Signais
need he Sma lle]t N
m teqe
N
3
2T
6,
K:l
3T
-
N
=TTK
N - 3 , k=2
Theve 6 mo NSuch that
So(n] is net Reri odic
2K
Such a t
o
dsciete- time siara ls, i
n
2T,
(
2TK
S
and
hen
closest is K--)
3
t2T
So
bo
FoY sstuete time 6tals,
and
Tt
,
t 2 T k , Hheo
3TT
3TT
kl, So,
i)
yt2K
()+
TT
z(nl
2ik
(n]
u)
3(o) +t2TK,
Ko 5o (nl y[n
h
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