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Signals and Systems - Section 1

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  • Signals and Systems - Section 1
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Signals and Systems - Section 1

1. 

If 23-387 is the Laplace transform of f(t) then f(0+) is

A. 0
B. 23-387-2
C. 27
D. ∞

Answer: Option C

Explanation:

34-387

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2. 

If f(t) = A d(t - a), F(s) is

A. A e-as
B. A e as
C. A a e-as
D. Aa e as

Answer: Option A

Explanation:

It is an impulse having area A and originating at t = a.

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3. 

Double integration of a unit step function would lead to

A. an impulse
B. a parabola
C. a ramp
D. a doublet

Answer: Option B

Explanation:

30-126

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4. 

If 14-192 , the coefficient of term e-t in f(t) will be

A. 1
B. 0
C. 0.5
D. 2/3

Answer: Option D

Explanation:

Coefficient of e-t = 31-192

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5. 

Which one is a causal system?

A. y(n) = 3x[n] - 2x[n - 1]
B. y(n) = 3x[n] + 2x[n + 1]
C. y(n) = 3x[n + 1] + 2x[n - 1]
D. y(n) = 3x[n + 1] 2x[n - 1] + x[n]

Answer: Option A

Explanation:

For causal output must depend upon Present and past not on future.

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6. 

As per time displacement theorem in Laplace transformation, displacement in the time domain by T becomes

A. division by s in the s domain
B. division by e-sT in the s domain
C. multiplication by s in the s domain
D. multiplication by e-sT in the s domain

Answer: Option D

Explanation:

£f(t - T) = e-st F(s).

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7. 

An impulse function consist of

A. pure dc
B. pure a.c
C. entire frequency range with constant phase
D. infinite bandwidth with linear phase vaariations

Answer: Option C

Explanation:

Because F.T. of δ(t) = 1, 1 is a Constant function ranging from -∞ to +∞.

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8. 

If 14-204 , the terms in f(t) will have

A. e-t and e-2t
B. et and e2t
C. te-t and te-2t
D. none of the above

Answer: Option A

Explanation:

(s + 1) term will give e-t and (s + 2) term will give e-2t .

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