A continuous time LTI system is described by d2y(t)/dt2+4 dy(t)/dt+3y(t)=2dx(t)/dt+4x9t).Assuming zero initial conditions, the response y(t) of the above system for the input x(t)=e-2tu(t) is given by

1.   (et-e-2t)u(t)

2.   (e-t-e-3t)u(t)

3.  (e-t+e-3t)u(t)

4.   (et+e3t)u(t)

View Answer  
4
Correct Answer :

(e-t-e-3t)u(t)


Explanation :
No Explanation available for this question

An input x(t)=exp(-2t)u(t)+δ(t-6) is applied to an LTI system with impulse response h(t)=u(t). The output is

1.   [1-exp(-2t)]u(t)+u(t+6)

2.  [1-exp(-2t)]u(t)+u(t-6)

3.   0.5[1-exp(-2t)]u(t)+u(t+6)

4.  0.5[1-exp(-2t)]u(t)+u(t-6)

View Answer  
4
Correct Answer :

0.5[1-exp(-2t)]u(t)+u(t-6)


Explanation :
No Explanation available for this question

The input x(t) and output y(t) of a system are related as The system is

1.   Time-invariant and stable

2.  Stable and not time-invariant

3.  Time-invariant and not stable

4.   Not time-invariant and not stable

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4
Correct Answer :

Not time-invariant and not stable


Explanation :
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The impulse response of a continuous time system is given by h(t)=δ9t-1)+δ(t-3). The value of the step response at t=2 is

1.   0

2.  1

3.  2

4.  3

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

The impulse response of a continuous time system is given by h(t)=δ9t-1)+δ(t-3). The value of the step response at t=2 is

1.  0

2.  1

3.  2

4.  3

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

A system is defined by its impulse response h(n)=2n u(n-2). The system is

1.   Stable and causal

2.  Causal but not stable

3.  Stable but not causal

4.  Unstable and non causal

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4
Correct Answer :

Causal but not stable


Explanation :
No Explanation available for this question

The transfer function of a discrete time LTI system is given by H(Z)=2-(3/4)z-1/1-(3/4)z-1+(1/8)z-2 Consider the following statements S1: The system is stable and causal for ROCKz|>1/2 S2: The system is stable but not causal for ROC: |z|

1.   Both S1 and S2 are true

2.   Both S2 and S3 are true

3.  Both S1 and S3 are true

4.  S1 , S2 and S3 are all true

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4
Correct Answer :

Both S1 and S3 are true


Explanation :
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Two systems H1(Z) and H2(Z) are connected in cascade as shown below. The overall output y(n) is the same as the input x(n) with a one unit delay. The transfer function of the second system H2(Z) is

1.   (1-0.6z-1)/z-1(1-0.4z-1)

2.  z-1 (1-0.6z-1)/z-1(1-0.4z-1)

3.  z-1 (1-0.4z-1)/z-1(1-0.6z-1)

4.  (1-0.4z-1)/z-1(1-0.6z-1)

View Answer  
4
Correct Answer :

z-1 (1-0.6z-1)/z-1(1-0.4z-1)


Explanation :
No Explanation available for this question

Let y[n] denote the convolution of h[n] and g[n], where h[n], where h[n]=(1/2)n u[n] and g[n] is a casual sequence. If y[0]=1 and y[1]=1/2, then g[1] equals

1.   0

2.  ½

3.  1

4.  3/2

View Answer  
4
Correct Answer :

0



Explanation :
No Explanation available for this question

A system with the transfer function Y(s)/X(s)=s/s+p has an output. y(t)=cos(2t-π/2). Then, the system parameter ‘p’ is

1.  √3

2.  2/√3

3.  1

4.  √3/2

View Answer  
4
Correct Answer :

2/√3


Explanation :
No Explanation available for this question
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