# A signal e-αtsin(ωt) is the input to a linear time invariant system. Given K and φ are constants,the output of the system will be of the form K e-βtsin(ϑt+) where

1.  β need not be equal to α but ϑ equal to ω

2.  ϑ need not be equal to ω but β equal to α

3.  β equal to α but ϑ equal to ω

4.  β Need not be equal to α and ϑ need not be equal to ω

4
Correct Answer :

β need not be equal to α but ϑ equal to ω

Explanation :
No Explanation available for this question

# The impulse response of a casual linear time invariant system is given as h (t). Now consider the following two statements: Statement i: principle of superposition holds Statement ii: h (t) =0 for t

1.  Statement (i) is correct and statement (ii) is wrong

2.  Statement (ii) is correct and statement (i) is wrong

3.  Both Statement (i) and statement (ii) are wrong

4.  Both Statement (i) and statement (ii) are correct.

4
Correct Answer :

Both Statement (i) and statement (ii) are correct.

Explanation :
No Explanation available for this question

# Given a sequence x[n], to generate the sequence y[n] =x [3-4n]. Which one of the following procedures would be correct

1.  First delay x[n] by sample to generate z1[n], then pick every 4th sample of z1[n] to generate z2[n], and then finally time reverse z2[n] to obtain y[n]

2.  First advance x[n] by sample to generate z1[n], then pick every 4th sample of z1[n] to generate z2[n], and then finally time reverse z2[n] to obtain y[n]

3.  First pick every fourth sample of x[n] to generate v1[n], time-reverse v1[n] to obtain v2[n], and finally advance v2[n] by 3 sample to obtain y[n]

4.  First pick every fourth sample of x[n] to generate v1[n], time-reverse v1[n] to obtain v2[n], and finally delay v2[n] by 3 sample to obtain y[n].

4
Correct Answer :

First pick every fourth sample of x[n] to generate v1[n], time-reverse v1[n] to obtain v2[n], and finally delay v2[n] by 3 sample to obtain y[n].

Explanation :
No Explanation available for this question

# A system with input x(y) and output y(t) is defined by the input-output relation The system will be

1.  Causal, time-invariant and unstable

2.  Causal, time-invariant and stable

3.  Non-Causal, time-invariant and unstable

4.  Non-Causal, time-variant and unstable.

4
Correct Answer :

Non-Causal, time-variant and unstable.

Explanation :
No Explanation available for this question

# A signal x(t)=sin(αt) where α is a real constantis the input to a linear time invariant system whose impulse response h(t)=sinc(βt) where β is a real constant. If min(α,β) denotes the minimum of α and β, and similarly max(α,β) the maximum of α and β, and K is a constant, which one of the following statements is true about the output of the system

1.  It will be of the form K sin(γt) where γ=min(α,β)

2.  It will be of the form K sin(γt) where γ=max(α,β)

3.  It will be of the form K sinc(αt)

4.  It cannot be since type of signal.

4
Correct Answer :

It will be of the form K sin(γt) where γ=min(α,β)

Explanation :
No Explanation available for this question

# Let x(t) be a periodic signal with time period T. let y(t) =x(t-t0)+x(t+t0) for some t0. The Fourier series coefficients of y(t) are denoted by b. if bk=0 for all odd k, then t0 can be equal to

1.

2.

3.

4.  2T.

4
Correct Answer :

Explanation :
No Explanation available for this question

# H (z) is transfer function of a real system. When a signal x[n]=(t+j)n is the input to a system, the output is zero. Further, the region of convergence (ROC) of is the entire z-plane (except z=0). It can then be inferred that H(z) can have a minimum of

1.  One pole and one zero

2.  One pole and two zero

3.  Two poles and one zero

4.  Two poles and two zeros.

4
Correct Answer :

One pole and two zero

Explanation :
No Explanation available for this question

# If with |z|>a, then residual X(z)Zn-1 at z=a for n>=0 will be

1.  an-1

2.  an

3.  nan

4.  nan-1.

4
Correct Answer :

nan-1.

Explanation :
No Explanation available for this question

# Let (where rect(x) =1 for and zero otherwise). Then if sincethen Fourier transform of x(t) + x(-t) will be given by

1.

2.

3.

4.

4
Correct Answer :

Explanation :
No Explanation available for this question

# A linear time invariant system with an impulse response h(t) produces output y(t) when input x(t) is applied. When the input x(t-Τ) is applied to a system with impulse response h(t-Τ), then output will be

1.  y(t)

2.  y(2(t-Τ))

3.  y(t-Τ)

4.  y (t-2Τ).

4
Correct Answer :

y (t-2Τ).

Explanation :
No Explanation available for this question

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