1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Global Minima
For a discret...
Question
For a discrete time signal x(n), the z-transform is defined as X(z), If
x
(
n
)
=
⎧
⎪
⎨
⎪
⎩
(
2
)
−
n
n
!
;
n
≥
0
0
;
O
t
h
e
r
w
i
s
e
Then the value of X(1) is _______
1.65
Open in App
Solution
The correct option is
A
1.65
X
(
z
)
=
∑
∞
n
=
−
∞
x
(
n
)
z
−
n
=
∑
∞
n
=
0
2
−
n
n
!
z
−
n
=
∑
∞
n
=
0
(
2
z
)
−
n
n
!
=
∑
∞
n
=
0
⎛
⎝
1
2
z
⎞
⎠
n
n
!
X
(
z
)
=
1
+
1
2
z
1
!
+
(
1
2
z
)
2
2
!
+
(
1
2
z
)
3
!
+
.
.
.
X
(
z
)
=
e
1
/
2
z
X
(
1
)
=
e
1
/
2
=
√
e
=
1.648
=
1.65
Suggest Corrections
0
Similar questions
Q.
If
x
(
n
)
is right sided discrete time signal and
X
(
z
)
is z-transform of
x
(
n
)
. If
X
(
z
)
=
z
z
−
0.1
, then value of
∞
∑
n
=
−
∞
n
x
(
n
)
is ______.
Q.
A signal x(n) having z-transform, X(z) = sin z. The value of signal x(n) at n = - 5 can be given as
1
A
. Then the value of A is_______
Q.
Consider a discrete time signal x[n] and its z-transform, X(z) given as
X
(
z
)
=
z
2
+
5
z
z
2
−
2
z
−
3
If ROC of
X
(
z
)
i
s
|
z
|
<
1
,
then signal x[n] would be
Q.
For a discrete time signal x(n), the z-tansform is defined as X(z). If x(n) is defined as
x
(
n
)
=
⎧
⎪
⎨
⎪
⎩
(
2
)
−
n
n
!
;
n
≥
0
0
Otherwise
Then the value of X(1) is
Q.
Let X(z) be the Z-transform of a discrete time sequence
x
[
n
]
=
(
−
2
)
−
n
u
[
n
]
. Consider another signal y[n] and its Z-transform is Y(z), given as
Y
(
z
)
=
X
(
z
−
2
)
. Then the value of y[n] at n=-2 is___.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Extrema
MATHEMATICS
Watch in App
Explore more
Global Minima
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app