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Energy & Power of Signals - 2 Starter Quiz 2

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Question 1

Which of the following statements is/are correct?

1. If energy of a signal x(t) is E, then energy of signal 2x(t) is 4E .

2. A system defined by y(t) = x(log(t)) is linear.

3. A system defined by y[n] = x [n2 – 1] is causal.

4. Fourier transform of signal x (3t + 7) =

Question 2

Consider a signal x(t) whose Fourier transform is shown in figure below. Find the energy of the signal x(t) _______ (in joules). (round off the answer up to three decimal places).

Question 3

One half of even part of signal f(t) is shown below. Given that f(t) is a causal signal. Then find the energy of the signal f(t) _______ in joules, answer in integer value.

Question 4

A signal x(t) has power of 10 W then power of signal 2x(5t – 6) is______

Question 5

Consider the continuous time signal:

Y(t) = u(t + 2) + r (t — 2) — 2r (t — 4) + r (t — 6) — u(t — 8)

Calculate the energy (in Joules) of the following signal=?

Question 6

If f(t) is a causal signal & it is given that even part of signal f(t) constitute a 12 J of energy, then what would be the energy of signal f(t)?

Question 7

Consider the following pulse x (t). What will be the Sum of energy and power of this pulse?
           
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Jun 18ESE & GATE EE