Statement for Q.1-2:
Given the Z transform pair
Determine the time signal y(n) for corresponding z-transform Y(z) and choose the correct answer.
Q.1- Y(z) = X(2z)
a)
b)
c)
d)
Q.2-
a)
b)
c)
d)
Q.3- Determine the z-transform and choose the correct option:
a)
b)
c)
d) None of the above
Q.4- The z-transform F(z) of the function f(nT) = anT is
a)
b)
c)
d)
Q.5- The z-transform of a signal is given by
Its final value is
a) 0.25
b) Zero
c) 1
d) Infinity
Q.6- A sequence x(n) with the z-transform is applied as an input to a LTI system with the impulse response . The output at n = 4 is
a) -6
b) Zero
c) 2
d) -4
Q.7- If the region of convergence of x(n) + y(n) is , then the region of convergence of x(n) - y(n) includes
a)
b)
c)
d)
Q.8- If the region of convergence of x(n) is 0.5<│z│< 2, then the region of convergence of x(-n) includes.
a) 2<│z│< 0.5
b) 2<│z│< 2
c) 0.5 <│z│<0 .5
d) 0.5<│z│< 2
Q.9- The output y(n) of a discrete time LTI system is related to the input x(n) as given below:
Which one of the following correctly relates the z-transform of the input and output denoted by X(z) and Y(z), respectively?
a)
b)
c)
d)
Q.10- Algebraic expression for z transform of x(n) is X(z). What is the algebraic expression for z transform of ?
a) X(z – z0)
b)
c)
d)
Key:
1) c
2) c
3) d
4) a
5) c
6) b
7) a
8) d
9) c
10) b
Given the Z transform pair
Determine the time signal y(n) for corresponding z-transform Y(z) and choose the correct answer.
Q.1- Y(z) = X(2z)
a)
b)
c)
d)
Q.2-
a)
b)
c)
d)
Q.3- Determine the z-transform and choose the correct option:
a)
b)
c)
d) None of the above
Q.4- The z-transform F(z) of the function f(nT) = anT is
a)
b)
c)
d)
Q.5- The z-transform of a signal is given by
Its final value is
a) 0.25
b) Zero
c) 1
d) Infinity
Q.6- A sequence x(n) with the z-transform is applied as an input to a LTI system with the impulse response . The output at n = 4 is
a) -6
b) Zero
c) 2
d) -4
Q.7- If the region of convergence of x(n) + y(n) is , then the region of convergence of x(n) - y(n) includes
a)
b)
c)
d)
Q.8- If the region of convergence of x(n) is 0.5<│z│< 2, then the region of convergence of x(-n) includes.
a) 2<│z│< 0.5
b) 2<│z│< 2
c) 0.5 <│z│<0 .5
d) 0.5<│z│< 2
Q.9- The output y(n) of a discrete time LTI system is related to the input x(n) as given below:
Which one of the following correctly relates the z-transform of the input and output denoted by X(z) and Y(z), respectively?
a)
b)
c)
d)
Q.10- Algebraic expression for z transform of x(n) is X(z). What is the algebraic expression for z transform of ?
a) X(z – z0)
b)
c)
d)
Key:
1) c
2) c
3) d
4) a
5) c
6) b
7) a
8) d
9) c
10) b
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