Test: Z-Transform - 3

Question 1

The z-transform of a signal x[n] is given by

If X (z) converges on the unit circle, x[n] is

Accepted Answer

Answer

Answer

Answer

Question 2

The transfer function of a system is given as

The h[n] is

Accepted Answer

Stable and Causal

Answer

Stable

Answer

Causal

Answer

None of the above

Question 3

The transfer function of a system is given as

Consider the two statements
Statement(i) : System is causal and stable.
Statement(ii) : Inverse system is causal and stable.
The correct option is

Accepted Answer

Both (i) and (ii) are true

Answer

(i) is true

Answer

(ii) is true

Answer

Both are false

Question 4

The impulse response of a system is given by

For this system two statement are
Statement (i): System is causal and stable
Statement (ii): Inverse system is causal and stable.
The correct option is

Accepted Answer

(i) is true

Answer

(ii) is true

Answer

Both are true

Answer

Both are false

Question 5

The system
y[n] = cy[n - 1] -0.12 y[n - 2 ] + x[n - 1] + x[n - 2 ] is stable if

Accepted Answer

|c|< 1.12

Answer

c < 1.12

Answer

c > 1.12

Answer

|c|> 1.12

Question 6

Consider the following three systems

The equivalent system are

Accepted Answer

y₁[n] and y₂[n]

Answer

y₂[n] and y₃[n]

Answer

y₃[n] and y₁[n]

Answer

all

Question 7

The z-transform of a causal system is given as

The x[0] is

Accepted Answer

2

Answer

-1.5

Answer

1.5

Answer

0

Question 8

The z-transform of a anti causal system is

The value of x[0] is

Accepted Answer

4

Answer

-7/4

Answer

0

Answer

Does not exist

Question 9

Given the z-transforms

The limit of x[∝] is

Accepted Answer

1

Answer

2

Answer

&prop;

Answer

0

Question 10

The impulse response of the system shown in fig. P5.4.62 is

Accepted Answer

Answer

Answer

Answer

Z-Transform - 3 - Free MCQ Practice Test with solutions, GATE ECE Engineering

MCQ Practice Test & Solutions: Test: Z-Transform - 3 (10 Questions)

The z-transform of a signal x[n] is given by

If X (z) converges on the unit circle, x[n] is

The transfer function of a system is given as

The h[n] is

The transfer function of a system is given as

Consider the two statements
Statement(i) : System is causal and stable.
Statement(ii) : Inverse system is causal and stable.
The correct option is

The impulse response of a system is given by

For this system two statement are
Statement (i): System is causal and stable
Statement (ii): Inverse system is causal and stable.
The correct option is

The system
y[n] = cy[n - 1] -0.12 y[n - 2 ] + x[n - 1] + x[n - 2 ] is stable if

Consider the following three systems

The equivalent system are

The z-transform of a causal system is given as

The x[0] is

The z-transform of a anti causal system is

The value of x[0] is

Given the z-transforms

The limit of x[∝] is

The impulse response of the system shown in fig. P5.4.62 is

Signals and Systems

Signals and Systems

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Z-Transform - 3 - Free MCQ Practice Test with solutions, GATE ECE Engineering

MCQ Practice Test & Solutions: Test: Z-Transform - 3 (10 Questions)

The z-transform of a signal x[n] is given by If X (z) converges on the unit circle, x[n] is

The transfer function of a system is given as The h[n] is

The transfer function of a system is given as Consider the two statements Statement(i) : System is causal and stable. Statement(ii) : Inverse system is causal and stable. The correct option is

The impulse response of a system is given by For this system two statement are Statement (i): System is causal and stable Statement (ii): Inverse system is causal and stable. The correct option is

The system y[n] = cy[n - 1] -0.12 y[n - 2 ] + x[n - 1] + x[n - 2 ] is stable if

Consider the following three systems The equivalent system are

The z-transform of a causal system is given as The x[0] is

The z-transform of a anti causal system is The value of x[0] is

Given the z-transforms The limit of x[∝] is

The impulse response of the system shown in fig. P5.4.62 is

Signals and Systems

Signals and Systems

Top Courses for Electronics and Communication Engineering (ECE)

About this Electronics and Communication Engineering (ECE) Practice Test

Explore more Electronics and Communication Engineering (ECE) Study Resources

The z-transform of a signal x[n] is given by

If X (z) converges on the unit circle, x[n] is

The transfer function of a system is given as

The h[n] is

The transfer function of a system is given as

Consider the two statements
Statement(i) : System is causal and stable.
Statement(ii) : Inverse system is causal and stable.
The correct option is

The impulse response of a system is given by

For this system two statement are
Statement (i): System is causal and stable
Statement (ii): Inverse system is causal and stable.
The correct option is

The system
y[n] = cy[n - 1] -0.12 y[n - 2 ] + x[n - 1] + x[n - 2 ] is stable if

Consider the following three systems

The equivalent system are

The z-transform of a causal system is given as

The x[0] is

The z-transform of a anti causal system is

The value of x[0] is

Given the z-transforms

The limit of x[∝] is