Test: Z-Transform- 2 - Electrical Engineering (EE) MCQ

The z-transform of discrete time signal x[n] = {1, 0, -1,0, 1,-1} is

A all pass causal LTI system is described by the difference equation:
y[n] - ay[n - 1] = bx[n] + x [n - 1]
The value of ’b’ will be

Consider a discrete time signal x(n) having z-transform given by if x(n) is right sided then z-transform x(z) belongs to

Consider a system with system function:

Let x[n] = 

The ROC for the z-transform of above sequence is

The sequence x[n] corresponding tox (z) defined as will have the value at n = - 2 

The direct.form-II realisation of []R filter is shown below.

The transfer function is

A sequence of x(n) with the z-transform x(z) = z⁴ + z² - 2z + 2 - 3z^-4 is applied as an input to a L.T.I system with the impulse response where,  the output at n = 2 is 

Find x[n] for the case, when x(z) =

Match List-I {x(n)} with List-II {x(z)} and select the correct answer using the codes given below the lists:
List-I
A. ∝ⁿ u(n)
B. ∝ⁿ u(-n -1)
C. ∝ⁿ u(-n-1)
D. ∝ⁿ u(n)
List-II
1. 
2.
3.
4.
Codes

Choose the correct option for given causal systems, stable or not
i. 
ii. 
iii.

 Find the inverse z-transform of

Consider discrete time signal x(n) is given by
x(n) = 4ⁿ u(n)
Also, 
Consider another signal 
Also, y(z) = x²(z)
then, y(n) is

Consider a z-transform of a signal x(n)

value of x(1) is equal to

Consider a discrete time signal x(n), who use z-transform x(z) is given by,

value of x(n) for n = 0 is

If z-transform is given by x(z) = cos(z^-3), |z| > 0 the value of x[12] is

The impulse response of the system in below figure.