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Signals and Systems

31.

Two function g1(t) and g2(t) with correlation of 6 has average power of 4 and 5 respectively. The power of g1(t) + g2(t) is

Answer: B

Power of two correlated signal is P = P1 + P2 +2R1, 2(t).

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32.

Z transform is a non-linear operation.

Answer: B

Z transform is a linear operation.

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33.

The signal define by the equations u(t - a) = 0 for t < a and u(t - a) = 1 for t ≥ a is

Answer: B

u(t) is a unit step function u(t - a) is a unit step function shifted in time by a.

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34.

Which one is a non-causal system?

Answer: A

Because in (a) if you put n = 1 then y(n) = x(2) which shows output depend upon future value.

While in (b), (c) input converted to Past or Present and past.

Note that n cannot be in fraction so for x(n/2) you will put n = 2, 4, ... etc. not 1, 3, 5 .... etc.

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35.

A voltage wave is v = 50 sin ωt. Its average value calculated over full one cycle is

Answer: A

Average of sinusoid over full cycle is zero.

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36.

The analog signal given below is sampled by 600 samples per second for m(t) = 3 sin 500 pt + 2 sin 700 pt then folding frequency is

Answer: C

NO Explanation.

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37.

Double integration of a unit step function would lead to

Answer: B

No explanation.

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38.

Fourier transform of f(t) =

Answer: A

It is differentiational Property of F.T. 

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Answer: D

Because Variance, standard Deviation, Expectation are related to each other.

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Answer: B

No Explanation 

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