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ECE :: Signals and Systems

Signals and Systems - Section 1
Signals and Systems - Section 2
Signals and Systems - Section 3
Signals and Systems - Section 4
Signals and Systems - Section 5
Signals and Systems - Section 6
Signals and Systems - Section 7
Signals and Systems - Section 8
Signals and Systems - Section 9
Signals and Systems - Section 10
Signals and Systems - Section-11

  1. Given, Lf(t) = F(s) ⇒
    which of the following expression are correct?

    1. L[f(t - a) ∪ (t - a)] = F(s)e-sa
    3. L(t - a)f(t) = as F(s)
    Select the correct answer using the codes given below

    2. A.
    1, 2, 3
    B.
    1, 2, 4
    C.
    2, 3, 4
    D.
    1, 3, 4

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  2. State space analysis is applicable to

    3. A.
    time invariant systems
    B.
    time varying systems
    C.
    both time invariant and time varying systems
    D.
    none of the above

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  3. If Fn represents Fourier series coefficient of f(t), then Fourier series coefficient of f(t + t) =

    4. A.
    Fne -jω0t
    B.
    Fne jω0t
    C.
    Fne jnω0t
    D.
    Fne -jnω0t

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  4. Fourier transform is defined for

    5. A.
    periodic
    B.
    non-periodic
    C.
    finite duration
    D.
    all

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  5. If xk = ak and k < 0
    X(z) = - (1 - az-1)-1 with |z| < |a|

    6. A.
    True
    B.
    False

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  6. Fourier transform of unit step function is

    7. A.
    B.
    pδ(ω)
    C.
    D.

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  7. Auto correlation R(t) of a function v(t) is defined as

    8. A.
    B.
    C.
    D.
    noe of these

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  8. Parseval's theorem for energy tells that

    9. A.
    B.
    C.
    D.
    Not defined for energy

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  9. For Binomial Distribution

    10. A.
    mean = np, Variance = npq
    B.
    mean = npq, Variance = np
    C.
    D.

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  10. The derivative of unit step function is

    11. A.
    unit impulse
    B.
    ramp with slope 1
    C.
    impulse
    D.
    either (a) or (b)

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