# 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)

4

(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)

4

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

4

Not time-invariant and not stable

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

4

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

4

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

4

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

4

Both S1 and S3 are true

Explanation :
No Explanation available for this question

# 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)

4

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

4

0

Explanation :
No Explanation available for this question

1.  √3

2.  2/√3

3.  1

4.  √3/2

4