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ECE :: Signals and Systems

  1. Fourier series is applicable for

  2. A.
    periodic
    B.
    finite duration
    C.
    non periodic
    D.
    a and b

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  3. The F.T. X(f) of the periodic delta functions.

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  5. Fourier transform F(jω) of an arbitrary signal has the property

  6. A.
    F(jω) = F(- jω)
    B.
    F(jω) = - F(- jω)
    C.
    F(jω) = F*(- jω)
    D.
    F(jω) = - F*(jω)

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  7. The dirac delta function δ(t) is defined as

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  9. The units of F(jω) are volt-seconds.

  10. A.
    True
    B.
    False

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  11. Laplace transforn of sin (ωt + a) is

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  13. A system with input x[n] and output y[n] is given as y[n] = (sin 5/6 pn) x(n) The system is

  14. A.
    linear, stable and invertible
    B.
    non-linear, stable and non-invertible
    C.
    linear stable, non invertible
    D.
    linear, unstable, invertible

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  15. If f (t) is an even function, then in th form

  16. A.
    True
    B.
    False

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  17. The output y(t) of a linear time invariant system is related to its input x(t) by the following equation y(t) = 0.5x(t - td + 1) + x(t - td) + 0.5 x(t - td + 7). The filter transfer function H(ω) of such a system is given by

  18. A.
    (1 + cos ωt)e-jωt d
    B.
    (1 + 0.5 cos ωt)e-jωt d
    C.
    (1 + cos ωt)ejωt d
    D.
    (1 - 0.5 cos ωt)e-jωt d

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  19. unit step is a

  20. A.
    energy signal
    B.
    power signal
    C.
    neither energy nor power signal
    D.
    none

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