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All questions of Z-Transform in Signals & Systems for Electrical Engineering (EE) Exam
Find the Z-transform of y(n) = x(n + 2)u(n).- a)z2 X(Z) + z2 x(0) – zx(1)
- b)z2 X(Z) – z2 x(0) – zx(1)
- c)z2 X(Z) – z2 x(0) + zx(1)
- d)z2 X(Z) + z2 x(0) + zx(1)
Correct answer is option 'B'. Can you explain this answer?
Find the Z-transform of y(n) = x(n + 2)u(n).
a)
z2 X(Z) + z2 x(0) – zx(1)
b)
z2 X(Z) – z2 x(0) – zx(1)
c)
z2 X(Z) – z2 x(0) + zx(1)
d)
z2 X(Z) + z2 x(0) + zx(1)
|
Sanya Agarwal answered |
Given y(n) = x(n + 2)u(n)
Let n + 2 = p,i.e. n = p – 2
=z2 X(Z) – z2 x(0) – zx(1).
Let n + 2 = p,i.e. n = p – 2
=z2 X(Z) – z2 x(0) – zx(1).
and output
The input x[n] is
The unilateral z-transform is
The z-transform function of a stable system is given as
The impuse response h[n] is- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
The z-transform function of a stable system is given as
The impuse response h[n] is
The impuse response h[n] is
a)
b)
c)
d)
|
Sahil Datta answered |
h[n] is stable, so ROC includes |z|= 1
The transfer function of a system is given by
The system is- a)Causal and Stable
- b)Causal, Stable and minimum phase
- c)Minimum phase
- d)None of the above
Correct answer is option 'D'. Can you explain this answer?
The transfer function of a system is given by
The system is
The system is
a)
Causal and Stable
b)
Causal, Stable and minimum phase
c)
Minimum phase
d)
None of the above
|
Prisha Sengupta answered |
(i) Not all poles are inside |z|= 1, the system is not causal and stable.
(ii) Not are poles and zero are inside |z|= 1, the system is not minimum phase.
X (z) has poles at z = 1/2 and z = -1. If x [1] = 1 x [ -1] = 1, and the ROC includes the point z = 3/4. The time signal x[n] is- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
X (z) has poles at z = 1/2 and z = -1. If x [1] = 1 x [ -1] = 1, and the ROC includes the point z = 3/4. The time signal x[n] is
a)
b)
c)
d)
|
Saranya Mishra answered |
Since the ROC includes the Z = 3/4, ROC is 
The impulse response of a system is given by
The difference equation representation for this system is- a)y[n] = x[n] -x [n - 5 ]
- b)y[n] = x[n] -x [n + 5 ]
- c)y[n] = x[n] + 5x [n - 5]
- d)y[n] = x[n] -5 x[n + 5]
Correct answer is option 'A'. Can you explain this answer?
The impulse response of a system is given by
The difference equation representation for this system is
The difference equation representation for this system is
a)
y[n] = x[n] -x [n - 5 ]
b)
y[n] = x[n] -x [n + 5 ]
c)
y[n] = x[n] + 5x [n - 5]
d)
y[n] = x[n] -5 x[n + 5]
|
|
Abhay Khanna answered |
⇒ y[n]= x[n] - x[n - 5 ]
X (z) of a system is specified by a pole zero pattern in fig. P.5.4.36.
Consider three different solution of x[n]
Correct solution is- a)x1[n]
- b)x2[n]
- c)x3[n]
- d)All three
Correct answer is option 'D'. Can you explain this answer?
X (z) of a system is specified by a pole zero pattern in fig. P.5.4.36.
Consider three different solution of x[n]
Correct solution is
Consider three different solution of x[n]
Correct solution is
a)
x1[n]
b)
x2[n]
c)
x3[n]
d)
All three
|
|
Srestha Gupta answered |
All gives the same z transform with different ROC. So all are the solution.
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