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Byju's Answer
Standard XII
Physics
Electric Generator
Given xt is a...
Question
Given x(t) is an Ergodic Random Process (ERP), with autocorrelation function as below:
The AC Power of x(t)______(in watt) is
6
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Solution
The correct option is
A
6
For Ergobic RP:
L
i
m
τ
→
∞
R
x
(
τ
)
=
m
2
1
=
D
C
P
o
w
e
r
=
2
w
a
t
t
and
R
X
(
0
)
=
E
[
X
2
(
t
)
]
=
m
2
=
t
o
t
a
l
p
o
w
e
r
=
8
w
a
t
t
R
x
(
0
)
−
R
x
(
∞
)
=
m
2
−
m
2
1
=
V
a
r
i
a
n
c
e
=
A
C
p
o
w
e
r
=
8
−
2
=
6
w
a
t
t
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