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ECE :: Signals and Systems

  1. The coefficients Fn in the exponential form of Fourier series are

  2. A.
    independent of frequency
    B.
    functions of frequency
    C.
    even function of frequency
    D.
    odd functions of frequency

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  3. If f1(t) ↔ F1 (jω) and f2(t) ↔ F2(jω), then f1(t)↔ f2(t)

  4. A.
    F1(jω) F2(jω)
    B.
    F1(jω)*F2(jω)
    C.
    D.
    none of these

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  5. L [f(t - a)] = F(jω) e-jωa

  6. A.
    True
    B.
    False

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  7. The integral of k δ(t) is

  8. A.
    a step function of magnitude k
    B.
    a step function 'of magnitude 1/k
    C.
    a ramp of slope k
    D.
    a ramp of slope 1/k

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  9. The integral of unit step function is a ramp of slope unity.

  10. A.
    True
    B.
    False

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  11. Which one of the systems described by the following I/P - O/P relations is time invariant

  12. A.
    y(n) = n x(n)
    B.
    y(n) = x(n) - x(n - 1)
    C.
    y(n) = x(- n)
    D.
    y(n) = x(n) cos 2pf0n

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  13. A wave f(t) has half wave symmetry and time period equal to T. Then

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  15. The Nyquist sampling interval, for the signal sinc (700t) + sinc (500t) is

  16. A.
    1/350 sec
    B.
    p/350 sec
    C.
    1/700 sec
    D.

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  17. The integral of a unit impulse is

  18. A.
    a unit step function
    B.
    a ramp function of slope 1
    C.
    a pulse function of magnitude 1
    D.
    none of the above

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  19. State variable formulation is very suitable for computer solution.

  20. A.
    True
    B.
    False

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