Signals and Systems Test - Online Electronics and Communication Engineering Test

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Total number of questions: 20.
Time allotted: 30 minutes.
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Marks : 2/20

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Inverse Laplace transform of

2 exp (- 2.5 t) cosh (0.5 t)

exp (- 2 t) + exp (- 3 t)

2 exp (- 2.5 t) sinh (0.5 t)

2 exp (- 2.5 t) cos 0.5 t

[#]

A function having frequency f is to be sampled. The sampling time T should be

[#]

The continuous time system with impulse response h(t) =

is stable, for n is even, when

a = 0

a > 0

a < 0

a ≤ 0

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Consider Pole zero diagram as shown, If two Poles are moved in opposite direction towards ω = p/2 and -p/2, the filter will be

change to high pass filter

change to Band Pass filter

remains same

change to LPF

[#]

Pick the odd one

variance

standard deviation

expectation

chebyshev inequality

[#]

the poles of H(z) are at

z = 1 and z = 3

z = -1 and z = -3

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A linear system is characterized by H(ω) = Be^-2ω² the system is physically

unrealizable

realizable

depends upon B

depends upon constant 2

[#]

ROC of sequence x[n] = (3)ⁿ ∪[n] + (4)ⁿ ∪[- n - 1]

|z| > 4

3 < |z| < 4

|z| < 4

|z| > 3

[#]

The eigen values of matrix

are

1, 1

- 1, - 1

j, - j

1, - 1

[#]

10.

Consider the following sets of values of E, R and C for the circuit in the given figure.

2 V, 1 Ω, 1.25 F
1.6 V, 0.8 Ω, 1 F
1.6 V, 1 Ω, 0.8 F
2 V, 1.25 Ω, 1 F

Which of these of values will ensure that the state equation

is valid?

1 and 4

1 and 2

3 and 4

2 and 3

[#]

11.

If f₁(t)<< F₁(jω) and f₂(t)↔ F₂(jω), then [a₁ f₁(t) + a₂f₂(t)]↔

a₁F₁(jω) + a₂F₂(jω)

a₁a₂F₁(jω) + F₂(jω)

a₁F₁(jω) - a₂F₂(jω)

a₁F₁*(jω) + a₂F₂*(jω)

[#]

12.

Which one of the following rules determines the mapping of s-plane to z-plane?

Right half of the s-plane maps into outside of the unit circle in z-plane

Left half of the s-plane maps into outside of the unit circle.

Imaginary axis in s-plane maps in to the circumference of the unit circle.

All of the above

[#]

13.

Assertion (A): The conditions under which it is possible to write Fourier series of a periodic function are called Drichlet conditions.

Reason (R): If f(t) = - f(- t), it is refereed to as odd symmetry.

Both A and R are correct and R is correct explanation of A

Both A and R are correct but R is not correct explanation of A

A is true, R is false

A is false, R is true

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14.

The z-transform of sequence x[n] = δ(n) is

∞

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15.

Half wave sysmmetry means f(t) = - f(t ± T/2).

True

False

[#]

16.

If x^k = 2^k for k ≤ 0 and x_k = 0 for k ≥ 0, Z transform of the sequence x is

[#]

17.

If f(t) is an odd function

True

False

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18.

The function sinc x is equal to

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19.

The following table gives some time functions and the Laplace transforms

Of these correctly matched pairs are

2 and 4

1 and 4

3 and 4

1 and 2

[#]

20.

If x^k = a^k and k ≥ 0
X(z) = (1 - az^-1)^-1 with |a| < |z|

True

False

[#]

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Online Electronics and Communication Engineering Test - Signals and Systems Test

Marks : 2/20

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